For the following right triangle find the side length x round your answer to the nearest hundredth

For The Following Right Triangle Find The Side Length X Round Your Answer To The Nearest Hundredth

Answers

Answer 1

Answer:

x ≈ 12.96

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

x² + 11² = 17²

x² + 121 = 289 ( subtract 121 from both sides )

x² = 168 ( take the square root of both sides )

x = [tex]\sqrt{168}[/tex] ≈ 12.96 ( to the nearest hundredth )


Related Questions

In ΔPQR, r = 9 inches, p = 6.6 inches and ∠Q=6°. Find the area of ΔPQR, to the nearest 10th of a square inch

Answers

Answer:

2.8 square inches

Step-by-step explanation:

Area of the triangle PQR = 1/2 rp sin <Q

Given

r = 9in

p = 6.6in

<Q =6°

Substitute into the formula;

Area of the triangle PQR = 1/2 * 9 * 6 sin6°

Area of the triangle PQR = 9 * 3 sin6°

Area of the triangle PQR  = 27 sin6°

Area of the triangle PQR = 27(0.1045)

Area of the triangle PQR = 2.82

Hence the area to the nearest 10th of a square inch is 2.8 square inches

Answer:

3.104 which is equal to 3.1 it your answer.

Step-by-step explanation:

I did it on DeltaMath

What is the ratio of their surface areas

Answers

Answer:

[tex]\text{A. }4:81[/tex]

Step-by-step explanation:

Since surface area consists of the sum of the outer faces of each polygon, the ratio of the two surface areas will be equal to the ratio of the side lengths squared (since we multiply them to get area).

The ratio of the corresponding side lengths of the solids are [tex]2:9[/tex]. Therefore, the ratio of their surface areas must be [tex]2^2:9^2=\boxed{4:81}[/tex]

Answer:

A

Step-by-step explanation:

i hope this helped i tried

Which equation represents the relationship between x and y in the table?

Answers

Answer:

Its a

Step-by-step explanation:

3*3 =9

4*4 =16

5*5 =36

Answer:

A. y=x^2

Step-by-step explanation:

A. y=x^2

when x=0 and y=o

0=0^2

0=0(true)

when x=1 and y=1

1=1^2

1=1 (true)

when x=3 and y=9

9=3^2

9=9 (true)

A teacher records the test scores of several students. 74,82,70,80,72,76,71,75,78,72.
Find the mean

PLS HELP ASAPPPP
THANK YOU SO MUCH!!!!

Answers

Answer:

75

Step-by-step explanation:

Math

Answer:

75

Step-by-step explanation:

add up all the numbers, then divide by how many numbers there are

Someone help me with this

Answers

Answer:

81

Step-by-step explanation:

Any number, wether it is negative or postive, will always be postive when there is a even exponent.

In this case, we have a -9, and a exponent thats 2.

Since 2 is a even number, -9^2 will be a postive value.

Now, what is the actual value of this?

Well, a exponent of 2 basiclly means 2 numbers being multiplied together.

Or in this case, 2 negative 9s being multiplied together.

THis will be:

-9*-9

=

As I said above, a even exponent makes a negative number postive.

You see here that a negative 9 is being multiplied by -9. When two negative numbers multiply together, they make a postive.

THis is why a even exponent makes a postive.

Hope this helps!

identify the quadrilateral that has four congruent angles that has two pairs of parallel sides

Answers

Answer:

Rhombus

Step-by-step explanation:

Rhombus: A quadrilateral with four congruent sides and two pairs of parallel sides.

Hope it is helpful...


s
is inversely proportional to
t
.
When
s
=
0.5
,
t
=
7

Work out
s
when
t
=
0.8

Answers

Answer:

4.375

Step-by-step explanation:

s=1/t

s=k/t

0.5=k/7

k=7x0.5=3.5

s=3.5/0.8

s=4.375

solve for x round to the nearest tenth if necessary

Answers

Answer:

x ≈ 2.8

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan26° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{CD}{DE}[/tex] = [tex]\frac{x}{5.7}[/tex] ( multiply both sides by 5.7 )

5.7 × tan26° = x , then

x ≈ 2.8 ( to the nearest tenth )

Answer:

2.8

Step-by-step explanation:

1. c = a · sin(C) / sin(A)  

This is the equation to find x. Let's see what we have.

c = x

a = 5.7

C = 26

A = ?

Let's find A. We know B is 90 and C is 26.  Triangle Sum Theorem time!

2. 180 = 90 + 26 + A

180 = 116 + A

64 = A

A = 64

We found A. Let's see what we have now!

c = x

a = 5.7

C = 26

A = 64

Let's solve the equation now.

3. x = 5.7 · sin26 / sin64

Let's use a calcalator to find the answer.

4. 2.78008 =  5.7 · sin26 / sin64

5.7 · sin26 / sin64 =  2.78008

We should round this to the nearest tenth. 7 is in the tenth place. Though 8 is behind 7. 8 is greater than 4 which means 7 must be rounded up.

5. 2.8 is the answer.

One of the solutions to the equation 72 - 57– 24 – is 8. What is the other solution?​

Answers

Answer:

72-57-24=-9

Step-by-step explanation:

simple subtraction

How high is the end of a 70 foot ramp when it is tipped to an angle of 45 degrees?​

Answers

Answer:

35[tex]\sqrt{2}[/tex]

Step-by-step explanation:

This scenario can be represented and solved by drawing a triangle. The hypotenuse of the triangle represents the ramp which has a length of 70 feet. The angle between the hypotenuse and the leg of the triangle that is parallel to the ground is 45 degrees. Since we know that this is a right triangle, we can conclude that this is a 45-45-90 degree right triangle. We can use the ratios of the sides of special right triangles to solve the problem from here. We know that the two sides and the hypotenuse of a 45-45-90 triangle can be represented as x, x, and x[tex]\sqrt{2}[/tex] respectively. This means that the hypotenuse of 70 feet is equal to x

Then we solve the following equation:

x[tex]\sqrt{2}[/tex] = 70        

x = [tex]\frac{70}{\sqrt{2} }[/tex]

x = [tex]\frac{70}{\sqrt{2} } * \frac{\sqrt{2} }{\sqrt{2} }[/tex]    

x = [tex]\frac{70\sqrt{2} }{\sqrt{4} }[/tex]

x = [tex]\frac{70\sqrt{2} }{2}[/tex]

x = [tex]35\sqrt{2}[/tex]

This means that each side of the triangle has a length of [tex]35\sqrt{2}[/tex] so that is also the height of the end of the ramp from the ground.

The Earth has a diameter of about 7,917.5 miles. What is the surface area of our planet? (Show your work, including the formula, along with your answer. Round your answer to the nearest tenth)

Answers

Answer:

196,836,571.6 miles²

Step-by-step explanation:

the earth is shaped like a sphere. the surface area of the earth can be determined by calculating the surface area of a sphere

surface area of a sphere = 4πr²

π= 3.14

r = 7,917.5 / 2 = 3958.75 miles

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

4 x 3.14 x 3958.75² = 196,836,571.6 miles²

IQ scores on the WAIS test approximate a normal curve with a mean of 100 and a standard deviation of 15. What IQ score is identified with the upper 2%

Answers

Answer:

IQ scores of at least 130.81 are identified with the upper 2%.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 100 and a standard deviation of 15.

This means that [tex]\mu = 100, \sigma = 15[/tex]

What IQ score is identified with the upper 2%?

IQ scores of at least the 100 - 2 = 98th percentile, which is X when Z has a p-value of 0.98, so X when Z = 2.054.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]2.054 = \frac{X - 100}{15}[/tex]

[tex]X - 100 = 15*2.054[/tex]

[tex]X = 130.81[/tex]

IQ scores of at least 130.81 are identified with the upper 2%.

what's my correct answer ​

Answers

Answer:

C

Step-by-step explanation:

AE 40+60 = 100

CD 20+60 = 80

Answer:

C..............................

Need help with this question!!!

Answers

The roots of a graph are also known as the x-intercepts. If you use a graphing tool to graph the given equation you will be able to see the x- intercepts. For the answer the question is asking what the x cordinates of the x intercepts are. I think the answer is (0,2,-2) but im not sure so you should check my work.

The Art Club at Reynolds High School (ROCA) is selling paintings and clay coffee mugs to raise money for a trip to all the museums on the west coast. The cost for each painting is $20 and each mug is $15. The Art Club thinks they will sell at most 350 items. In order to meet their goal, they want to raise more than $4500. Write a system of linear inequalities to model the situation and then solve.

Answers

Answer:

See below and attached

Step-by-step explanation:

Let the number of paintings is x and the number of mugs is y.

We have following inequalities:

x + y ≤ 35020x + 15y > 4500

The graphical solution is attached.

The solution is:

225 < x ≤ 350300 < y ≤ 350

Combine like terms: 4x+3y-4+5y+3x-1

Answers

Answer:

7x + 8y - 5

Step-by-step explanation:

Like terms are terms with the same variable as well as the same amount of said variable:

Set the expression:

4x + 3y - 4 + 5y + 3x - 1

4x + 3x + 3y + 5y - 4 - 1

Combine like terms:

(4x + 3x) + (3y + 5y) + (-4 - 1)

(7x) + (8y) + (-5)

7x + 8y - 5 is your answer.

~

Please help me thank you

Answers

Answer:

0.2

Step-by-step explanation:

Easy divide 1/5 as a decimal and you should get a decimal form number 0.2

1÷5=0.2

Hope this helps

2) 3x - 7.25 = 16
Solve for x

Answers

Answer:

x = 7.75

Step-by-step explanation:

To solve this equation for x, start by consolidating the constant terms on the right side:  Add 7.25 to both sides, obtaining:

3x = 16 + 7.25, or

3x = 23.25

Dividing both sides by 3, we get        x = 7.75

Answer:

x = 7.75

Step-by-step explanation:

3 x - 7.25 = 16

3 x = 16 + 7.25

3 x = 23.25

x = 23.25/3

x = 7.75

can someone tell me what the answer for
2 kos60° + tan 45 ° ​

Answers

Answer:

[tex]{ \tt{2 \cos60 \degree + \tan(45 \degree) }} \\ \\ = 2(0.5) + 1 \\ = 1 + 1 \\ = 2[/tex]

another question about angles

Answers

Answer:

ㄥBEC=70;ㄥABE=160

Step-by-step explanation:

(x-5)+(3x-5)+90=180

x-5+3x-5+90=180

4x+80=180

4x=100

x=25

ㄥBEC=3*25-5=70

ㄥABE=180-(25-5)=160

please help 30 points and if I get correct answer i will brainiest them

Answers

Answer:

9,-4

Step-by-step explanation:

-9×4=-36

Negative × Positive = Negative

4 tan 45°+(2 sin 45°)(6 kos 45°)​

Answers

Answer: The final value is 10

Step-by-step explanation:

We are given:

[tex]4\tan 45^o+(2\sin 45^o)(6\cos 45^o)[/tex]

We know that:

[tex]\tan 45^o=1\\\sin 45^o=\frac{1}{\sqrt{2}}\\\cos 45^o=\frac{1}{\sqrt{2}}[/tex]

Putting values in the given equation, we get:

[tex]\Rightarrow (4\times 1)+(2\times \frac{1}{\sqrt{2}})\times (6\times \frac{1}{\sqrt{2}})\\\\\Rightarrow 4+(\frac{2\times 6}{2})\\\\\Rightarrow (4+6)\\\\\Rightarrow 10[/tex]

Hence, the final value is 10

Find the value of x. Give a reason to justify your solution.

Answers

Answer:

x =52

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles.  (Exterior Angle Property)

x+72 = 90+34

x+72 = 124

x+72-72 = 124 - 72

x =52

https://imgur.com/a/n3PRcMY

Answers

Step-by-step explanation:

hakdogg happyly ever after

Find the radius r of the circle. Round your answer to the nearest tenth.
M.
60°
N
10.2 yd
ס
ra
yd

Answers

First off we need to use the formula S = rΘ

S - is the arc length

Θ - is theta which is the radian measure

r - is the radius

In this problem we need to find r

So, our equation would look like:

S ÷ Θ = r

Before we solve though, we need to convert the degrees to radians:

To convert from degrees to radians, multiply the degrees by π/180° radians:

60 x π/180 = 1.0472

If you input the numbers you get:

10.2 / 1.0472 = 9.740

The radius is 9.7 yards.

El profesor Héctor y sus alumnos organizaron una excursión a
la Ciudad de México. Visitarán el Centro Histórico, el Castillo de
Chapultepec y el Museo de Antropologia. El costo del transporte
por alumno es de $310.75 y no incluye alimentos.
a) Para pagar el transporte, el profesor Héctor tiene que juntar
el dinero de los 37 alumnos que participaran en la excursion
¿Cuánto dinero debe reunir?​

Answers

Answer:

$8.39 por pe rsona

Step-by-step explanation:

Find the balance in an account at the end of 12 years if $4000 is invested at an interest rate of 9% that is compounded continuously

Answers

Answer:

7250.66

Step-by-step explanation:

If ABC ~ DEF and the scale factor from ABC to DEF is 2, what are the lengths of , , and , respectively?

Answers

Answer:

4,8,12 hope that helps heeeeheheʘ‿ʘ

I posted it nobody answer to it so *Help me*

Answers

Answer:

i think its 2

Step-by-step explanation:

I think it maybe 26

Cylinder math, help me

Answers

Answer:

A= 43.393 rounded

Step-by-step explanation:

A=2πrh

A= 2 [tex]\pi[/tex] 1.625 (4.25)

A= 13.8125[tex]\pi[/tex]

or

A= 43.393 rounded

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