Question 4
In order to ensure that the roof consists of right angles, an architect measures the diagonal to create a triangle. If the dimensions of the
triangle are 9.5 feet, 16 feet, and 18.5 feet, is the triangle a right triangle?

Answers

Answer 1

Answer:I have a question

Step-by-step explanation:

About that question is it a right triangle or no

Answer 2

The triangles with side lengths 9.5 feet , 16 feet and 18.5 feet is an acute triangle

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Now , the height of the triangle is AB = 16 feet

The base of the triangle is BC = 9.5 feet

The hypotenuse of the triangle is AC = 18.5 feet

And , for a triangle , if a² + b² > c² , it is an acute triangle

Substituting the values in the equation , we get

( 9.5 )² + ( 16 )² > ( 18.5 )²

90.25 + 256 > 342.25

346.25 > 342.25

Hence , the triangle is an acute triangle

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Related Questions

Sort the numbers from LEAST TO GREATEST . > 6.82 , 6.803 , 6.650 , 6.68

Answers

Answer:

6.650, 6.68, 6.803, 6.82

Step-by-step explanation:

You just treat the decimals as you would whole numbers. Try imagineing them as whole numbers and its a lot easier like this. 6.82 and 6.68 as 682 and 668, you can clearly see 668 is lower than 682 so it comes first. Therefore, 6.68 is lower than 6.82 and comes first.

What is the solution to the system of linear equations represented by the matrix equations below. Please help!!!!!

Answers

Answer: c no solution
Explanation I did the test and got it right

The system of equations has infinite solutions.

Option D is correct.

What is matrix multiplication?

Matrix multiplication is a binary operation whose output is also a matrix when two matrices are multiplied.

To multiply one matrix with another, we need to check first, if the number of columns of the first matrix is equal to the number of rows of the second matrix. Now multiply each element of the column of the first matrix with each element of rows of the second matrix and add them all.

Given

Matrix equations

[tex]\left[\begin{array}{ccc}2&4\\1&2\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}6\\3\end{array}\right][/tex]

L.H.S:

Using Matrix multiplication

[tex]\left[\begin{array}{ccc}2&4\\1&2\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}2x+4y\\x+2y\end{array}\right][/tex]

R.H.S:

[tex]\left[\begin{array}{ccc}6\\3\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}2x+4y\\x+2y\end{array}\right]=\left[\begin{array}{ccc}6\\3\end{array}\right][/tex]

Writing equation from above matrix

2x + 4y = 6

x + 2y = 3

or

2x + 4y = 6

2x + 4y = 6

Because there are two unknown number, but the two equations are consistent.

So, the system of equations has infinite solutions.

Option D is correct.

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Question 10 (1 point)
True or False:
V2
21/2 =
and
2-1
1
2
True
False

Answers

Answer:

false fs

Step-by-step explanation:

Glenn has a garden that is shaped like a rectangle.

The perimeter of his garden is 7012 feet.
The length of the garden is 2434 feet.

What is the width of the garden?


21 ft o 11ft o 10 ½ ft o 45 ¾ ft

Answers

Answer:

Solution given:

The length of the garden[l] = 2434 feet.

breadth or width [b]=b

perimeter of his garden = 7012 feet.

2[l+b]=7012ft

2434+b=7012/2

b=3506-2434

b=1072

So the width of the garden is 1072ft.

Can someone please help me on this?

Answers

Answer:

The surface area of the green prism is 2.5 times greater than the surface area of the blue prism

Consider the sequence 4, 1, -2, -5. What is the 65th term of this sequence?
-188
-204
-55
-110

Answers

Answer: -188

Step-by-step explanation: i had to subtract 3 63 times and i got -188

What is the value of v if 11 +v= 44 ?

Answers

Answer:

Hi! answer: v = 33

Step-by-step explanation:

44 - 11 = 33 11 + 33 = 44 so v = 33

Question 1 (1 point)
Find the total amount due on a loan of $600 at 1696 interest at the end of 15 months using the simple interest formula.

Answers

Answer:4T

Step-by-step explanation:

T

Which of the scatter plots below shows the most accurate line of best fit?


W.
X.

Y.
Z.
A.
X
B.
Y
C.
Z
D.
W

Answers

The answer should be the first image.

Identify who is correct
Describe the mistake that was made

Answers

Jack is wrong because he used the distributive property wrong. On the top equation, you see 2(4k - 3). The 2 multiplies into the (), so basically you have

2 x 4k - 2 x 3

which gives you

8k - 6

Answer:

Taniyah

Step-by-step explanation:

Taniyah is correct because you need to:

diistribute : 8k - 6 - 6k = 14

combine like terms : 2k - 6 = 14

add 6 to both sides : 2k - 6 + 6 = 14 + 6

simplify : 2k = 20

divide both sides by the same factor : 2k/2 = 20/2

simplify : k = 10

what is the value of A

Answers

I think the answer is a = 4.5

81 ÷ 6 ÷ 3 = 4.5

I hope this helps, have a wonderful day!

i guess it might be right or wrong.the answer will be x value is 20.


Justyna invested $1500 in an account at a 2.5% interest rate compounded annually. She made no deposits or withdrawals on the
account for 7 years. Determine, to the nearest dollar the balance in the account after the 7 years.
4.200

Answers

Answer:

$1783.03

Step-by-step explanation:

Annually compounding interest formula:

PV(1+i)ⁿ

1500(1+.025)⁷

1500(1.025)⁷

1783.028631

which rounds to

1783.03

Answer:

$1783.03

Step-by-step explanation:

You use the formula for finding the interest rate.

So 1500(1+.025)^7

Which you put that in a calculator and it comes to out to 1783.0286. Then just round up.

Hope this helps

Brainliest would be appreciated

HELP ASAPPPP, FIRST PERSON TO HAVE THE CORRECT ANSWER WILL HAVE BRAINLIEST

What is the distance between points (8,3) and (3, 1) on the coordinate plane?


OA. 3 units
OB. 21 units
OC.29 units
OD. 7 units

Answers

Answer:

√29

Step-by-step explanation:

You would use the distance formula in this case to solve the problem:

(8-3)^2+(1-3)^2=29

Now square root 29, leaving you with √29.

Answer:

5.39

Step-by-step explanation:

√(x2 - x1)² + (y2 - y1)²

√(3 - 8)² + (1 - 3)²

√(-5)² + (-2)²

√25 + 4

√29

= 5.39

pls help solve this with a number line and the anwser to y

Answers

Answer:

use gauthmath

Step-by-step explanation:

Answer:

Step-by-step explanation:

Jacob rode his bicycle at an average rate of 15 kilometers per hour.
Which statement about Jacob's bike race could be true?

Answers

Answer:b

Step-by-step explanation:

Increase 18 by a half

Answers

Answer:

36

Step-by-step explanation:

if we were decreasing it would be 9 but if we are increasing it, it would be 36

just multiply by 2 or divide by 2

Answer:

27

Step-by-step explanation:

increasing by 1 half is like dividing. 4 increased by one half would be 6, because half of four is 2, and you add that on to four. increasing 18 by half, divide 18 by 2, that = 9 then add 9 onto 18. the answer is 27

What is the missing length?
8
Х
17
ОА. 15
ОВ. 30
o o o
С. 8
0 D. 7

Answers

Answer:

[tex]A)15[/tex]

Step-by-step explanation:

[tex](17)^{2} =8^{2}+x[/tex]

[tex]x^2=17^2-8[/tex]

[tex]x^2=225[/tex]

[tex]x=15[/tex]

-----------------------

hope it helps...

have a great day!!

Oscar rides his skateboard 58

5

8

mile in 14

1

4

hour. How fast, in miles per hour, does he ride his skateboard?

Answers

Answer:

speed = distance ÷ time

58 ÷ 14

speed = 4.142

David is planning to attend a public university after he graduates from high school in 3 years. He is devising a plan to save money each month to help with the expenses of attending the university. The cost of attending the public university for one-year is $53,600. His family has promised to contribute $32,000 each year he is in school. What is the minimum amount of money David must contribute to his savings per month for the next 3 years to have enough money to pay for his first year of tuition?

a
$450
b
$600
c
$575
d
$725

Answers

Answer:

b. 600

Step-by-step explanation:

subtract money from parents from tuition

divide by months

Carlos bought 6.5 pounds of bananas for $5.20.

● What is the price per pound of the bananas that Carlos bought?


What quantity of bananas would one dollar buy?

Answers

Answer:

Each banana cost $0.80.

Step-by-step explanation:

5.20 divided by 6.5 is 0.80

what is a square root?​

Answers

Answer:

A number multiplied by its self for ex 7 x 7 = 49 square root of 49 is 7

Answer:

A square root of a number is a value that, when multiplied by itself, gives the number. 6 · 6 = 36, so a square root of 36 is 6. You are probably curious why I said a square root and not the square root. - 6 · - 6 = 36. - 6 is a square root of 36. The symbol is √ which always means the positive square root.

√1 = 1

√4 = 2

√9 = 3

√16 = 4

√25 = 5

√36 = 6

√49 = 7

√64 = 8

√81 = 9

√100 = 10

Henry is thinking of a number that is less than 17. What numbers make the statement true q<17 true? Solve the problem any way you choose

The # 1, 3, 7, 10, 12

Answers

Answer:

The numbers 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16 would make the statement true.

Step-by-step explanation:

This is because they are all less than 17.

Martin is driving to his uncle’s farm, which is 240 mi. from home. If he drives at a constant rate of 60 mph, how long will it take Martin to get to the farm? A. 2 hr. B. 4 hr. C. 5 hr. D. 6 hr.

Answers

Answer:

4 hours

Step-by-step explanation:

240 divided by 40

Answer:

4 hours

240 divided by 60

Step-by-step explanation:

Hope it helps

Please help me to find area of semicircle

Answers

Answer:

Use a calculator and use the formula 1/2 × pi × (radius squared)

Find the slope of the line through the given points.
(-1,1) and (3, -7)

Answers

Answer:

Slop of the line M = -2

Step-by-step explanation:

Given coordinates;

(-1 , 1) , (3 , -7)

Find:

Slop of the line

Computation:

We know that;

x1 = -1

x2 = 3

y1 = 1

y2 = -7

Slop of the line M = Δy / Δx

Slop of the line M = (y2 - y1) / (x2 - x1)

Slop of the line M = (-7 - 1) / [3 - (-1)]

Slop of the line M = (-8) / [3 + 1]

Slop of the line M = (-8) / (4)

Slop of the line M = -2

NO LINKS the picture below shows six quarters and two pennies. If this was broken
down into two separate groups, what would be the equivalent ratio to six-
seconds?

Answers

Answer:

B i took the quiz

Step-by-step explanation:

Just trust me bro

Please answer this math question for me

Answers

Answer:

Hello! answer: a = 79

Step-by-step explanation:

This is a complimentary angle so it will add up to 180 so 180 - 101 = 79 so 79 is the answer hope that helps!

Angles on a straight line add up to 180 degrees. So 180-101=79 degrees

So the answer is 79 degrees

determine equation (help please )

Answers

Answer: C

Step-by-step explanation:

help please!!!! thank you in advance. asap too​

Answers

You can check the following
C=4
C=5
C=11

Rosa has 7 1/2 yards of material. Her new skirt will take 3 2/3 yards. How much material will she have left after the skirt is made?​

Answers

Answer:

11 1/6

Step-by-step explanation:

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