Solve ABC where ∠C = 90°, a = 15 cm, and b = 7 cm.

Answers

Answer 1

Answer:

c ≈ 16.55cm ; ∠A = 65 degrees ; ∠B = 25 degrees

Step-by-step explanation:

Because of the Pythagorean theorem, we can solve for c.

This theorem states: a^2 + b^2 = c^2

Since there can only be 180 degrees in a triangle, angle C must be our largest angle. This means that side c is our hypotenuse (the longest side).

Using all of this information, we can say that 15^2 + 7^2 = c^2.

Simplifying that equation, we get that 274 = c^2.

In order to find c, we must square root both sides, and we find that c is about 16.55 cm long.

Using SOHCAHTOA, we know that the tan(∠B)=[tex]\frac{7}{15}[/tex]. Therefore, the arctan ([tex]\frac{7}{15}[/tex]) = ∠B.

Once you find that ∠B is about 25 degrees, you can add ∠B and ∠C together and subtract that from 180 to find ∠A.

∠A = 65 degrees.


Related Questions

someone help me with this please ​

Answers

13.22, but the whole in decimals is. 13.22875655, hope it helps and im sorry if its incorrect!

Could i get some help here please?

Answers

Answer:

22+4x=90

x=17

Step-by-step explanation:

From the picture, we can see that the two angles form a right angle.

The equation will be 22+4x=90

Then use that equation to solve for x.

4x=68

x=17

Not sure but here’s how i would solve it
4x +22 = 90
So we want the x only so you will subtract 22 on both sides
So you’ll have 4x= 68
Then you will divide the 4 on both sides
So you got 4x/4 = 68/4
So finally the x = 17

The figure below shows three quadrilaterals on a coordinate grid: A coordinate plane is shown with three quadrilaterals. Figure M has four sides that measure 2 units each. Figure N has four sides that measure 2 units each. Figure O has four sides that measure 4 units each. Which of the following statements is true about the three quadrilaterals? (4 points) a M and O are similar and congruent. b O and N are similar and congruent. c M and N are similar but not congruent. d M and O are similar but not congruent.

Answers

Answer:

D. M and O are similar but not congruent

Step-by-step explanation:

As you can see, M and O are similar because they both have four sides and equal length for each of the side meaning that they are both squares.

At the same time, M and O are do not have the same dimensions meaning they are not congruent

Can someone please help me

Answers

Step-by-step explanation:

it is a simple addition and subtraction sequence :

10 + 0 + -21 + 14 = 3

since the result is positive, it is overall a gain.

if the result were negative, it would be an overall loss.

so, he had an overall gain of 3 yards.

Write a polynomial function of least degree with rational coefficients so that P(x) = 0 has the given roots.
11, 11-1
P(x)=x4 - 22x3 + II X2 - 2,662x + 14,762

Answers

4736282746 is the one driving home

HELP PPLEASE I BEG HEY HELPPLEASE :,)

Answers

Answer:

The y-intercept and slope are wrong. In this problem, they are mixed up.

Step-by-step explanation:

In an equation like that, the y-intercept not supposed to be attached to the x. In this problem, the y-intercept point would be 4, not -3. Instead, the -3 represents the slope (rise/run).

Sloan went to the DMV to get a new DC License $40. 0. When she got there, the clerk told her she needed a state inspection. The state inspection requires a $50. 00 fee and does not cover the costs of any mechanical issues that may need to be fixed. Once the inspection was completed, Sloan was told that her car failed to pass inspection due to : Leaking gas caps, Imbalanced air-to-fuel ratio and faulty transmission. The total cost of repairs for the vehicle, was $875. 0. HOW MUCH, IN TOTAL, WOULD SLOAN BE PAYING TO GET HER DC LICENSE? WHAT TYPE OF ENGINEER WOULD BE ABLE TO FIX SLOAN'S CAR?.

Answers

The total amount Sloan need to pay in order to get her DC license to the DMV is $935.

What is the total cost?

Total cost or the final cost is the summation of all the cost spend while buying any good or taking any service.  

Sloan went to the DMV to get a new DC License, $40.0. The state inspection requires a $50.00 fee and does not cover the costs of any mechanical issues that may need to be fixed.

Thus, the total amount Sloan paid in inspection and DC license charge is,

[tex]C=40+50\\C=90[/tex]

Now Sloan's car failed to pass inspection due to : Leaking gas caps, Imbalanced air-to-fuel ratio and faulty transmission. The total cost of repairs for the vehicle, was $875. 0.

Thus, the final cost of Sloan's car after the repairing of the vehicle is,

[tex]C=90+845\\C=935[/tex]

Thus, the total amount Sloan need to pay in order to get her DC license to the DMV is $935.

Mechanical engineer are most capable to deal with fixing a vehicle and issues related to it. Thus, a mechanical engineer required to fix Sloan's car.

Learn more about the total cost here;

https://brainly.com/question/25109150

………….. need help filling out

Answers

Answer:

dilation is size

Step-by-step explanation:

Which values from set 1,2,3,4,5 make the inequality true n + 2 < 6

Answers

Answer:

1, 2, and 3

Step-by-step explanation:

You can simplify n+2<6 by subtracting 2 from both sides to get n<4. Now you just select all options less than 4 which include 1, 2, and 3. The reason 4 is not a solution is because it is equal to, but not less than, 4. Sense 5 is greater than 4 it is not a correct answer either.

Evaluate the following expression

53 =

Answers

Hey there!


Assuming you meant:

5^3


IF SO, LETS SOLVE FOR IT!


5^3

= 5 * 5 * 5

= 25 * 5

= 25 + 25 + 25 + 25 + 25

= 50 + 50 + 25

= 100 + 25

= 125


Therefore, your answer is mostly likely:

125


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Which description below the equation
X/4=55

Answers

x/4 = 55

=> x = 55 × 4

=> x = 220

Answer:

x = 220

Step-by-step explanation:

220 divided by 4 = 55

or

55 x 4 = 220

...

Pamela drove her car 999999 kilometers and used 999 liters of fuel. She wants to know how many kilometers (k)(k)left parenthesis, k, right parenthesis she can drive with 121212 liters of fuel. She assumes the relationship between kilometers and fuel is proportional.
How many kilometers can Pamela drive with 121212 liters of fuel?

Answers

Answer: you made this up there is no answer

Step-by-step explanation:

Answer:

k 90

Step-by-step explanation:

you just get the two factorial numbers

4-62. Find the area and perimeter of the
below shape.
7.6 ft
3 ft
7 ft
7 ft

Answers

Answer:

area= 59.5    perimeter=31.6

Step-by-step explanation:

the area of the square is 49 because 7x7=49 and the area of the triangle is 3x7/2 because it is half of a rectangle so it is 10.5 + 49 = 59.5 and perimeter you add all the sides so 3+7.6+7+7+7= 31.6

Find Theta in degrees. WILL MARK BRAINLIEST I PROMISE<3333

Answers

Answer:

[tex]sin \alpha = \frac{opposite}{hypotenuse} \\ sin \alpha = \frac{8}{17} \\ sin \alpha = 0.470588235294117 \\ \alpha = {sin}^{ - 1} (0.470588235294117) \\ \alpha = 28.07 \: degrees[/tex]

Help guysss does anyone know the answer to this ?

Answers

I only got the answer for 2. My apologies, the simplified version of this equation is 2+9+5

Answer:

Step-by-step explanation:

1) Amir’s mistakes:

On the second layer, he hadn’t substrated k from 3k => 3+5+9p is wrong;

On the last layer, he added 8 with 9p which is incorrect,he can’t get 17p by adding them.


2)3k+5-k+9p

3k-k+5+9p

2k+5+9p

what is the 43rd term for 260,255,250

Answers

Answer:

43rd term = 50

Step-by-step explanation:

[tex]43rd \: term = 50[/tex]

The required 43rd term will be 50 in the given arithmetic sequence.

What is an arithmetic sequence?

An arithmetic sequence is defined as an arrangement of numbers that is in a particular order.

The arithmetic sequence is given in the question as:

260, 255, 250...

This above sequence has:

The first number a₁ = 260

Common difference d = 255 - 260 = -5

The formula to find the general term of an arithmetic sequence is,

Tₙ = a₁ + (n-1)d ...(i)

Substitute the value of d = -5 and a₁ = 260 in the above formula

43rd term = 260 + (43-1)(-5)

43rd term = 260 - 42(5)

43rd term = 260 - 210

43rd term = 50

Therefore, the required 43rd term will be 50.

Learn more about arithmetic sequence here:

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#SPJ2

Create an equation using the table of values below.

Answers

Answer:

1.  y = 2x - 1

Step-by-step explanation:

See attached image.

Ricky is taking out a personal loan for $12,000 to remodel his kitchen. He would like the lowest monthly payment possible, even if it means a bigger finance charge in the end. His bank has offered him a loan at 13% interest for 36 months or 12% interest for 60 months, both of which are compounded monthly. Which of the following statements most accurately describes what Ricky should be thinking?
a.
More payments with the 60 month loan will give him the lowest monthly payment.
b.
Fewer payments with the 36 month loan will give him the lowest monthly payment.
c.
The 60 month loan comes with a bigger finance charge and, thus, a bigger monthly payment.
d.
The 36 month loan comes with a bigger finance charge and, thus, a bigger monthly payment.



Please select the best answer from the choices provided


A
B
C
D

Answers

Answer:

the correct answer is: a. More payments with the 60 month loan will give him the lowest monthly payment.

Step-by-step explanation:

Hope this help :) LMK

Fewer payments with the 36 monthly loan will give him the lowest monthly payment.

Option B is the correct answer.

What is compound interest?

It is the interest we earned on the interest.

The formula for the amount earned with compound interest after n years is given as:

A = P (1 + r/n)^{nt}

P = principal

R = rate

t = time in years

n = number of times compounded in a year.

We have,

Ricky should choose the 36-month loan at 13% interest, which has a higher interest rate but a shorter repayment period.

This means that he will have fewer payments to make, which will result in a lower monthly payment.

The 60-month loan may have a lower interest rate, but the longer repayment period will result in a larger finance charge and a higher monthly payment.

Thus,

Fewer payments with the 36 monthly loan will give him the lowest monthly payment.

Learn more about compound interest here:

https://brainly.com/question/13155407

#SPJ5

Complete the table to determine the cost assigned to ending inventory and cost of goods sold using specific identification

Answers

The ending inventory that van be gotten from the table will be $9905 and the cost of goods sold is $5083.

What is ending inventory?

It should be noted that the ending inventory simply means the goods that are still available for sale at the end of an accounting period.

From the complete question, the ending inventory will be:

= $3190 + $2295 + $4420

= $9905

Also, the cost of goods sold will be:

= $2465 + $473 + $2145

= $5083

Learn more about inventory on:

https://brainly.com/question/24868116

How many zeros are in the product of 5 x 10³?

Answers

Answer:

3

......,..............

Answer:

There are 3 zeros.

Step-by-step explanation:

5 x 10³ = 5000

Help me please!!!!!!!

Answers

Answer:

its blurry give another picture

Step-by-step explanation:

I am learning ratio and proportion

Answers

The answer to your question is (B) hope that helps :)

Answer:

Unit Quantity is the answer

Given Rectangle MNOP

Answers

Answer:

Step-by-step explanation:

The price of an item has risen to $301 today. Yesterday it was $140 Find the percentage increase.

Answers

Answer: 115%

Step-by-step explanation: ur welcome

Answer:

53.2%

Step-by-step explanation:

301x53.2%= 160.132 = 160.13

301-160.13=140.87

About 53.2%

A charity organization had a fundraiser where they sold each ticket for a fixed price. After selling 200 tickets they had a net profit of 12,000. They had to sell a few tickets just to cover necessary production costs of 1,200.
Let y represent the net profit (in dollars) when they have sold x tickets.
Complete the equation for the relationship between the net profit and number of tickets sold.

Answers

Answer: 120000

Step-by-step explanation:

A basketball team wants to paint half of a free-throw circle grey. If the circumference of the free-throw circle is 30. 77 feet, what is the area that will be painted grey? Use 3. 14 for π, and round to the nearest square foot. Enter your answer in the box.

Answers

Answer:

37.69    (≈ 38 ft²)

Step-by-step explanation:

2πr = 30.77

r = 30.77 / (2 * 3.14) = 4.9

half of free-throw circle area: πr² / 2 = (3.14 * 4.9²) / 2 = 37.69    (≈ 38 ft²)

A metal statue weighs 9.25 pounds 90% of the statue is made of silver how many pounds of silver are in the statue

Answers

Answer:

8.325 pounds

Step-by-step explanation:

Step 1: Multiply 90 by 0.0925.

[tex]90*0.0925[/tex] [tex]8.325[/tex] 8.325 lb

Therefore, 8.325 pounds of silver are in the statue.

Match the terms to their definition.

1. a mathematical expression containing one or more variables
substitution
2. to find the numerical value of
evaluate
3. replacing its quantity with its equal
algebraic expression
4. a letter or symbol used to represent an unknown
variable

Answers

3. constant - D. a numerical value

2. coefficient - A. the constant preceding the variables in a product

4. expression -E. a mathematical phrase....

5. variable - B. a letter... representing an unkown

1. algebraic expression - C. a mathematical expression...

please help 15 points easy HHHEELLPP

Answers

Hope this helps you!
HOPE THIS HELPS!! ( showed in fraction from!!)

Reason why addition and subtraction should be taught first

Answers

Answer:

Addition and subtraction are easier than other operations like multiplication, division, square roots and to the power of.

Multiplication builds on the idea of addition, and to the power of builds on multiplication.

For example: 2+2+2=6. This is very simple, if you have 2 apples, and you get 2 more apples, and then you get 2 more apples, you add them together and you get 6 apples. Multiplication is a faster way to do this but it is more complicated. If you have 3 groups of apples, and each group has 2 apples in it, you multiply them together to get 6 apples. The reason this is faster is that instead of individually adding all the numbers together, you count the number of groups there are and multiply because you know that each group has 2 apples in it. Addition is a simple concept to understand, if you have two apples, than you add two apples more, you get 4 apples. very simple. the idea of subtraction works on a similar idea, if you have 4 apples, and you eat two, then you have 2 apples left.

If you are adding

3+3+3+3+3+3+3+3+3+3+3+3+3+3

then its very simple, right? You take 3 apples, you add 3 more apples, and you add 3 more apples...

Its very simple, but the problem is it would take forever, so you multiply instead.

How many groups do you have?

We count them all and find there are 14 groups.

14x?

What are we multiplying?

3

so 14x3=42

but we couldn't do this without simple addition because we had to add the number of groups there are.

I hope this helps!

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