Could you help me with these problems ? I don't really know how to put the equation together and the steps I should take to solve it, it would be amazing if you could show me how, and I'd be very thankful if you could also add a picture showing the steps if possible. Thank you so much.

Could You Help Me With These Problems ? I Don't Really Know How To Put The Equation Together And The

Answers

Answer 1

Since it is a right triangle, you can use the trigonometric ratio sin(θ) to solve the exercise:

[tex]\sin (\theta)=\frac{\text{opposite side}}{\text{hypotenuse}}[/tex]

Graphically,

So, in this case, you have

[tex]\begin{gathered} \theta=54\text{\degree} \\ \text{ Opposite side }=72 \\ \text{ Hypotenuse }=x \\ \sin (54\text{\degree})=\frac{72}{x} \\ \text{ Multiply by x from both sides of the equation} \\ \sin (54\text{\degree})\cdot x=\frac{72}{x}\cdot x \\ \sin (54\text{\degree})\cdot x=72 \\ \text{ Divide by }\sin (54\text{\degree})\text{ from both sides of the equation} \\ \frac{\sin(54\text{\degree})\cdot x}{\sin(54\text{\degree})}=\frac{72}{\sin(54\text{\degree})} \\ x=\frac{72}{\sin(54\text{\degree})} \\ x=\frac{72}{0.8090} \\ x=88.99 \\ \text{ Rounding to the nearest tenth} \\ x=89.0 \end{gathered}[/tex]

Therefore, the measure of the missing side is 89.

Could You Help Me With These Problems ? I Don't Really Know How To Put The Equation Together And The

Related Questions

Kira, Justin, and Reuben have a total of $82 in their wallets. Kira has $10 more than Justin. Reuben has 2 times what Kira has. How much do they have in their wallets?

Answers

Kira have $23 in his wallet.

Justin have $13 in his wallet.

Reuben have $46 in his wallet.

Given,

There are three persons, Kira, Justin, Reuben.

The total amount in their wallet = $82

The amount in Justin's wallet = x

The amount in Kira's wallet = x + 10

The amount in Reuben's wallet = 2(x + 10)

We have to find the amount in their wallets.

Here,

x + x + 10 + 2(x + 10) = 82

2x + 10 + 2x + 20 = 82

4x + 30 = 82

4x = 82 - 30

x = 52/4 = 13

Now,

The amount in Justin's wallet = x = $13

The amount in Kira's wallet = x + 10 = 13 + 10 = $23

The amount in Reuben's wallet = 2(x + 10) = 2(13 + 10) = 2 × 23 = $46

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f(a)=-3a-5; Find ƒ(-7)

Answers

Step-by-step explanation:

the answer is attached

hope it helps

Martin charges $10 for every 5 bags of leaves

Answers

Answer: each bag is 2$

Step-by-step explanation: 2+2= 4   4+2 = 6  6+2=8  8+2= 10

If Martin charges $10 for every 5 bags of leaves, then we divide the total price by the number of bags, then

Price $10 ➗ 5 bags = $2 each bag of leaves.

Answer: In total, each bag of leaves counts $2✅ .

*THIS IS AN ANSWER BECAUSE I CAN'T ANSWER SOMEONE'S QUESTION*
Bob can do a job in 5 hours, while Bill can do the same job in 8 hours. How many hours would it take them, working together, to do this job?

ANSWER:

The one in the following equation stands for ONE WHOLE JOB.

[tex]\frac{1}{5}x+\frac{1}{8}x=1\\\\[/tex]

[tex]x=\frac{40}{13} hours[/tex]

hence, this is the answer.

Answers

Answer:

x=40/13

Step-by-step explanation:

tex]\frac{1}{5}x+\frac{1}{8}x=1\\\\[/tex]

[tex]x=\frac{40}{13} hours[/tex]

Find the maximum value of
C = x + 4y
subject to the following constraints:
x ≥ 0
x≤ 12
y ≤ 10
2x + 3y ≥ 24

Answers

The maximum value of the linear equation is obtained as 52.

What is termed as the maximum value of function?The maximum value of such a function is the point on a graph where the function achieved its maximum point, or vertex.There are several ways to find the maximum value of the a quadratic equation.The first method is graphing. Visually, you can determine the highest value by graphing the equation and locating the maximum point of the graph. This is especially simple if you have a graphing calculator. There are three ways to calculate the maximum value of the a quadratic equation. Each of them can be employed to ascertain the maximum in their own specific context.

For the given question;

The linear equation is defined as;

C = x + 4y

The constraints are-

x ≥ 0

x≤ 12

y ≤ 10

2x + 3y ≥ 24

From the constraints, the maximum value for x and y are taken as;

x = 12 and y = 10.

Put the the equation, to find the maximum value.

C = x + 4y

C = 12 + 4×10

C = 52

Thus, the maximum value of the function is obtained as 52.

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When Mr. Jackson got in his car yesterday, the odometer read 187,198.9 km. When he got home, the reading was 187,399.4 km. How far did Mr. Jackson drive?

Answers

The distance Mr. Jackson drove from when he got in his car to when he got home is 200.5 km.

Given:

The odometer reading when Mr.Jackson got in his car = 187,198.9 km

The odometer reading when Mr.Jackson got home = 187,399.4 km

An odometer is a device used to calculate the distance traveled by a vehicle.

To determine the distance Mr.Jackson drove we subtract the odometer readings from when he got home minus when he got into his car.

⇒ (187,399.4 - 187,198.9) km

⇒ 200.5 km

Therefore, Mr. Jackson drove 220.5 km from when he got in his car to when he got home.

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Good morning I could really use some help with this question please!!

Answers

Answer: [tex](x\text{ - 3\rparen}^2\text{ + \lparen y + 2\rparen}^2\text{ = 16 \lparen option B\rparen}[/tex]

Explanation:

Given:

center of the circle = (3, -2)

radius = 4

To find:

the standard form of the equation of a circle

The standard form of the equation of circle is given as:

[tex]\begin{gathered} (x\text{ - h\rparen}^2\text{ + \lparen y - k\rparen}^2\text{ = r}^2 \\ center\text{ = \lparen h, k\rparen} \end{gathered}[/tex][tex]\begin{gathered} h\text{ = 3, k = -2, r = 4} \\ \\ substitute\text{ the values into the formula:} \\ (x\text{ - 3\rparen}^2\text{ + \lparen y - \lparen-2\rparen\rparen}^2\text{ = 4}^2 \\ (x\text{ - 3\rparen}^2\text{ + \lparen y + 2\rparen}^2\text{ = 16} \end{gathered}[/tex]

The equationof the circle in standard form:

[tex](x\text{ - 3\rparen}^2\text{ + \lparen y + 2\rparen}^2\text{ = 16 \lparen option B\rparen}[/tex]

If you travel southeast from one city to another city that is 314 km away, and the trip takes you 4.00 hours, what is your average velocity?​

Answers

Answer:

78.5

Step-by-step explanation:

i just know

An item is regularly priced at $43. It is on sale for 15% off the regular price.Use the ALEKS calculator to find the sale price.

Answers

Answer:

$36.55

Explanations:

Given the following parameters

Regular price of a ticket = $43

Sales discount = 15%

Determine the discounted price

Discount price = 0.15 * 43

Discount price = $6.45

Determine the sales price

Sales price = Regular price - discount

Sales price = $43 - $6.45

Sales price = $36.55

Hence the sales price for the item will be $36.55

What is the value of sin^-1(0)
a= -1
b= 0
c = 1
d = pi

Answers

Answer:

B: 0

Step-by-step explanation:

At the unit circle, we can see that sin(x) = 0 for x = 0 and for x = pi

This gives us directly that sin^-1(0) = 0 or x = pi

However, the function sin^-1(x) is only defined for -pi/2 \leq 0 \geq pi/2, since otherwise it is very unclear which answer is the right one.

By this definition, we directly see that the only right aswer is 0

Redondea 5,951 a la decena más cercana

Answers

the answer to the question is 5950

Answer:

6

Step-by-step explanation:

5.951

porque 1 no es mas o menos que 5, no vamos arriba

5.95

porque 5 es igual o mas que 5, vamos arriba

1 mas 9, es 10

pero este diez en el .9 is basicamente 1.0

entonces se combireta a uno entero

dejando nos con

6

If figure, angle ABE & angle DBC are right angles. Prove that angle ABD ≊ angle EBC

Hurry and answer please

Answers

Angle ABE & angle DBC are right angles then ∠ABE≅ ∠EBC

What is complementary angle theorem?

If two angles are complementary to the same angle, then they are congruent.

1.∠ABE and ∠DBC are right angles(Given)

2. m∠ABE=90⁰

m∠DBC=90⁰

By definition of right angles

3.∠ABE and ∠DBE are complementary.

∠DBE and  ∠EBC are complementary.

(By complementary theorem)

two angles are complementary to the same angle, then they are congruent.

4. ∠ABE≅ ∠EBC (is complementary to same)

Hence  ∠ABE≅ ∠EBC.

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What is the solution to the rational inequality?
3 - x / 2x + 1 ≥ 2
( - 1/ 2 , 1 / 5)
( - ∞ ; - 1 /2)
( - 1 / 2 , 1 / 5)
( - ∞ , - 1/ 2 ) ∪ ( 1 /5 , ∞ )

Answers

The solution to the rational inequality given in this problem is as follows:

(-1/2, 1/5].

Rational inequality

The rational inequality is defined as follows:

[tex]\frac{3 - x}{2x + 1} \geq 2[/tex]

The first step to solve the inequality is isolate 0 on the right side of the inequality, hence:

[tex]\frac{3 - x}{2x + 1} - 2 \geq 0[/tex]

Then the least common multiplied is applied to represent the left side of the inequality as a single fraction, as follows:

[tex]\frac{3 - x - 2(2x + 1)}{2x + 1}\geq 0[/tex]

[tex]\frac{3 - x - 4x - 2}{2x + 1}\geq 0[/tex]

[tex]\frac{-5x + 1}{2x + 1}\geq 0[/tex]

There are two cases for the solution to the inequality:

Case 1: numerator and denominator positive.Case 2: numerator and denominator negative.

The solution is the union of the solution of each of these cases.

Case 1

-5x + 1 ≥ 0

-5x ≥ -1

5x ≤ 1

x ≤ 1/5

2x + 1 > 0 (only > as the denominator cannot be zero)

2x > -1

x > -1/2

The intersection of these solutions is given by the following interval:

(-1/2, 1/5].

Case 2

-5x + 1 ≤ 0

-5x ≤ -1

5x ≥ 1

x ≥ 1/5

2x + 1 < 0

2x < -1

x < -1/2.

The intersection of these two cases is empty, hence the solution to the inequality is given by the following interval:

(-1/2, 1/5].

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Suppose y varies directly with x.When x is 7,y is 21 Write the equation that relates x and y

Answers

Answer:

[tex]y=3x[/tex]

Explanation:

Given that y varies directly with x, we have:

[tex]\begin{gathered} y\propto x \\ \Rightarrow y=kx \end{gathered}[/tex]

Where k is constant.

When x = 7, y = 21. From here, we can obtain the value of k

21 = 7k

k = 21/7 = 3

Since k = 3, the equation that relates x and y is:

[tex]y=3x[/tex]

determine the maximum or minimum of the quadratic function. express your answer in the form (x,y) and using decimals rounded to the hundredths.f(x)=2x^2+7-10

Answers

We are given the following quadratic equation

[tex]f(x)=2x^2+7x-10[/tex]

The vertex is the maximum/minimum point of the quadratic equation.

The x-coordinate of the vertex is given by

[tex]h=-\frac{b}{2a}[/tex]

Comparing the given equation with the general form of the quadratic equation, the coefficients are

a = 2

b = 7

c = -10

[tex]h=-\frac{b}{2a}=-\frac{7}{2(2)}=-\frac{7}{4}=-1.75[/tex]

The y-coordinate of the vertex is given by

[tex]\begin{gathered} f(x)=2x^2+7x-10 \\ f(-1.75)=2(-1.75)^2+7(-1.75)-10 \\ f(-1.75)=2(3.0625)^{}-12.25-10 \\ f(-1.75)=6.125^{}-12.25-10 \\ f\mleft(-1.75\mright)=-16.13 \end{gathered}[/tex]

This means that we have a minimum point.

Therefore, the minimum point of the given quadratic equation is

[tex](-1.75,-16.13)[/tex]

Answer:

Exact Form:x=±√6/2

Decimal Form:x=1.22474487,−1.22474487

Step-by-step explanation:

f(x)=ln(2x+1) inverse

Answers

Answer:

f−1(x)=ex+11−2ex

Step-by-step explanation:

Let y=f(x)=ln(x−1)−ln(2x+1). ⇒y=ln(x−12x+1). ⇒x−12x+1=ey. ⇒2xey+ey=x−1. ⇒x(1−2ey)=ey+1.

Hello! I need some help with this homework question, please? The question is posted in the image below. Q3

Answers

As given by the question

There are given that the function:

[tex]f(x)=x^2+3[/tex]

Now,

From the given formula:

[tex]\frac{f(x+h)-f(x)}{h}[/tex]

Then,

First find the equation for f(x + h)

So,

[tex]\begin{gathered} f(x)=x^2+3 \\ f(x+h)=(x+h^{})^2+3 \\ f(x+h)=x^2+h^2+2xh+3 \end{gathered}[/tex]

Then,

Put both values into the given formula:

So,

[tex]\frac{f(x+h)-f(x)}{h}=\frac{x^2+h^2+2xh+3-x^2-3}{h}[/tex]

Then,

[tex]\begin{gathered} \frac{f(x+h)-f(x)}{h}=\frac{h^2+2xh}{h} \\ =\frac{h(h^{}+2x)}{h} \\ =h+2x \\ =2x+h \end{gathered}[/tex]

Hence, the difference quotient is 2x + h.

Marian purchased a home valued at $465,000. She purchased homeowner insurance for 75% of the value of the home. If the annual premium on the policy was $0.74 perhundred-dollar unit, how much did she pay to the nearest whole cent)?$2,875.50$2,695.00$2,580.75$3,050.74None of these choices are correct.

Answers

The value of the police if fot the 75% of the total value of the home value. The 75% of $465000 is:

[tex]465000\cdot0.75=348750[/tex]

The value of the insurance is then for $348750. The annual premium of the policy is $0.74 per hunder-dollar unit. Then, we need to estimate the hundred-dollar units in $348750. To estimate them, we need to divide the value by 100:

[tex]\frac{348750}{100}=3487.5[/tex]

The value of the policy is then by 3487.5 hundreds of dollars. Now, we can estimate the amount to be paid yearly:

[tex]0.74\cdot3487.5=2580.75[/tex]

Then, the amount to pay, according to the given conditions is $2580.75. Correct answer is the third option.

why do trees have wood (fre3 po1nts

Answers

Answer: The tree takes the Carbon dioxide from the air and converts it to wood.

If Z is a standard normal variable, find P(-1.2 < Z < 0.4). Round your answer to 3 decimal places.

Answers

If Z is a standard normal variable, The value of P(-1.2 < Z < 0.4) is

0.5403

This is further explained below.

What is a standard normal variable?

Generally, A random variable with a normal distribution and mean equal to zero and standard deviation equal to one is referred to as a standard normal random variable. The letter Z will never be used to represent it in any context.

Given that, we have to find, P(-1.2<z<0.4)

P(-1.2<z<0.4) =P(z<0.4)-P(z<-1.2)

Using, the z-distribution table determine the values

=0.6554-0.1151

=0.5403

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What is the solution of the following system? {6x+2y=−10 5x−5y=5

Answers

Answer below:

Step-by-step explanation:

6x+2y=-10

(-5/3,0) x-int

(0,5) y-int

slope= -3

5x-5y=5

slope= 1

(1,0) x-int

(0,-1) y-int

adult female Labrador Retrievers weigh an average of 65 lbs with a standard deviation of 4 lb adult female German Shepherds weigh an average of 62 pounds with a standard deviation of 3 lbs one sets teacher owns and underweight lab in an underweight German Shepherd the lab weighs 58 pounds and the German Shepherd weighs 59 pounds what is the Z score for the lab.

Answers

Labrador Retrievers weigh an average of 65 lbs with a standard deviation of 4 lb

German Shepherds weigh an average of 62 pounds with a standard deviation of 3 lbs

I only need the answer
THANK YOU!!

Answers

After simplifying the expression to a singles complex number, it becomes 1+√3i.

A complex number is a unique kind of number in the number system, it has two parts. One it called the real part which is a real number and an imaginary part which is also a real part but accompanied by the specific notation called iota.

Here a complex number Z is provided to us,

Z = [2+√(-12)]/2

As we can see,

Here we have √-12

We can write it as,

√(-2×2×3)

= 2√(-3)

Here, √-1 is given that special notation "IOTA (i)" which we mentioned earlier.

=2√3i

So, Z becomes,

Z = (2+2√3i)/2

Z= 1+√3i

So, the simpler form of Z = [2+√(-12)]/2 is Z= 1+√3i.

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You order seventeen burritos to go from a Mexican restaurant, eight with hot peppers and nine without. However, the restaurant forgot to label them. If you pick three burritos at random, find the probability of the given event.

Answers

The probability of at most two hot peppers = 0.918

Total number of burritos ordered = 17

Number of burritos with hot peppers = 8

Number of burritos without hot pepper = 9

Number of burritos picked = 3

We need to find the probability of the event that at most two have hot peppers.

At most two have hot peppers means either there is one with hot pepper or there are two with hot pepper. So there should not be 3 burritos all with hot peppers.

Thus we can rewrite the probability that at most 2 out of 3 burritos are with hot peppers as, Total probability - the probability that all 3 burritos are with hot peppers.

So the probability that all three burritos are with hot peppers = P(3 with hot peppers)  = (8C3x9C0)/17C3

                       = 56 x 1/680

                       = 0.082

Then the probability that at most two burritos out of three are with hot peppers = 1 - P(3 with hot peppers)

              = 1 - 0.082

              = 0.918

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What property is used to solve 9x + 5 = 21 and 9x + 5 -5 = 21 - 5

Answers

Problem

What property is used to solve 9x + 5 = 21 and 9x + 5 -5 = 21 - 5

Solution

9x +5 =21

If we subtract 5 in both sides we got:

9x +5-5 =21-5

Subtraction property of equality

During a sale, a store offered a 15% discount on a stereo system that originally sold for $400. After the sale the discount price of the stereo system was marked up by 15%. To the nearest whole number, what percent of the original price was the price after mark up

Answers

Problem Statement

We are told a store offers 15% discount on the sale of a stereo originally costing $400. After the sale, the new price is marked up by 15%.

We are asked to find what percentage of the original price is the new marked up price.

Method

T

If a 45-gal hot water tank holds 375 lb of water, what weight of water will a 55-gal tank hold? (Round to the nearest pound.)

Answers

Given:

A 45-gal hot water tank holds 375 lb of water.

[tex]\begin{gathered} 45\text{ gal }\rightarrow375\text{ lb} \\ 55\text{ gal}\rightarrow x?\text{ lb} \end{gathered}[/tex]

To find the values of x,

[tex]\begin{gathered} \frac{45}{375}=\frac{55}{x} \\ 45x=55\cdot375 \\ 45x=20625 \\ x=458.33\text{ lb} \end{gathered}[/tex]

Answer: The weight of water which will hold 55 gal tank is 458 lb.

EFG and GFH are a linear pair, mEFG = 2n +17, and mGFH = 4n +31. What are mEFG and mGFH?​

Answers

mEFG and mGFH is 61 and 119 respectively.

What is linear pair of angle?

Linear pair of angle are formed when two lines intersect each other at a single point and sum of angles of linear pair is always 180.

given, mEFG = 2n+17 and mGFH = 4n+31 and they both are linear.

Hence,

mEFG+mGFH = 180

2n+17+4n+31 = 180

6n+48=180

6n = 132

n = 22

hence, mEFG = 2(22)+17= 61 and mGFH = 4(22)+31 = 119

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f(x) = 2^3x-1 - 2find the inverse function of f(x)

Answers

Given the function

[tex]f(x)=2^{3-x}-2[/tex]

Substitute y = f(x) into the function above

[tex]y=2^{3-x}-2[/tex]

Make 'x' the subject of the formula

[tex]y+2=2^{3-x}[/tex]

Take the log₂ of both sides

[tex]\begin{gathered} \log _2(y+2)=\log _22^{(3-x)} \\ \log _2(y+2)=3-x\log _22 \\ \end{gathered}[/tex]

Note:

[tex]\log _22=1[/tex]

Therefore,

[tex]\begin{gathered} \log _2(y+2)=(3-x)\times1 \\ \log _2(y+2)=3-x \end{gathered}[/tex]

Isolating 'x'

[tex]x=3-\log _2(y+2)[/tex]

Replace 'x' with 'y'

[tex]y=3-\log _2(x+2)[/tex]

Hence,

[tex]f^{-1}(x)=3-\log _2(x+2)[/tex]

The correct option is Option 2.

a group of six people has 10 pizzas to share if they divide the pizzas evenly how much does each person get

Answers

We will have that if they divide them evenly they will end up with:

[tex]\frac{10}{6}=\frac{5}{3}[/tex]

So, each one will end up with option D.

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