What is the length of the hypotenuse of the triangle?


Triangle A B C. Side A C is 7 feet and side C B is 4 feet. Hypotenuse A B is unknown.
StartRoot 22 EndRoot ft
StartRoot 33 EndRoot ft
StartRoot 57 EndRoot ft
StartRoot 65 EndRoot ft

What Is The Length Of The Hypotenuse Of The Triangle?Triangle A B C. Side A C Is 7 Feet And Side C B

Answers

Answer 1

Answer:

The last answer [tex]\sqrt{65}[/tex]

Step-by-step explanation:

[tex]7^2+4^2 = 65[/tex]

The formula to find it is [tex]a^2+b^2=c^2[/tex]

so [tex]\sqrt{65}[/tex] is correct

Answer 2

Answer:

√65 ft (Option D)

Step-by-step explanation:

This is Right Angled Triangle.

We'll solve this using the Pythagorean Theorem.

AC = 7ft which is the Base.

BC = 4 ft which is the Perpendicular.

AB is the Hypotenuse.

We know that,

[tex]{ \longrightarrow \pmb{\qquad \: (AB) {}^{2} = (AC) {}^{2} + ( BC) {}^{2}}}[/tex]

[tex]{ \longrightarrow \sf{\qquad \: (AB) {}^{2} = (7) {}^{2} + ( 4) {}^{2}}}[/tex]

[tex]{ \longrightarrow \sf{\qquad \: (AB) {}^{2} = 49 + 16}}[/tex]

[tex]{ \longrightarrow \sf{\qquad \: (AB) {}^{2} = 65}}[/tex]

[tex]{ \longrightarrow \sf {\pmb {\qquad \: AB}}} = \pmb{ \frak{\sqrt{65}}}[/tex]

Therefore,

The length of the Hypotenuse (AB) is √65 ft

Related Questions

Jestions: 5
5. Which of the following fractions makes this statement true?
4
12
er
3
7
dio
2
7
4.
5
panol
7
12

Answers

Answer:

I believe 2/7

Step-by-step explanation:

When you make them the same denominator they look like 48/84 > 24/84 and that's how you get the answer

Use the diagram below for Questions 1 and 2. It would be helpful to draw and label the diagram in your journal. Labeling the angle and arc measures will make the problems easier.

A local TV news station has their cameras positioned at Points A, X, and B for their newscasts.

Answers

Answer: 110 degrees

Step-by-step explanation:

A local TV news station has its cameras positioned at Points A, X, and B for their newscasts.

So the m<1 = 110°

Is the measure of arc and angle the same?

An arc of a circle is a section of the circumference of the circle between two radii. A central angle of a circle is an angle between two radii with the vertex at the center. The central angle of an arc is the central angle subtended by the arc. The measure of an arc is the measure of its central angle.

Please check the attached file for an explanation.

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#SPJ2

write the equation of the blue line using slope intercept form (y=mx+b)

Answers

Answer:

Step-by-step explanation:

X1=-4

Y1=7

X2=-3

Y2=6

(-2,0 ) X INTERCEPT

(0,-7)Y INTERCEPT OR B

M=6-7/-3+4

M=_1

Y=-1X+-7

HELP PLEASE! A survey asked 200 campers to choose their favorite activity. The results are displayed in this circle graph.

How many campers chose basketball as their favorite activity?



26 campers


36 campers


44 campers


58 campers

Answers

Answer:

44 campers chose basketball

Which equation describes how the parent function, y = x cubed, is vertically stretched by a factor of 4? y = x cubed 4 y = (x 4) cubed y = 4 x cubed y = x superscript 4

Answers

The required function when the parent function is stretched comes to be [tex]f(x)=x^{3} +4[/tex].

The parent function is:

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

How vertical translation of the graph of a function takes place?

If a function f(x) is vertically translated by k units f(x) becomes f(x)+k where k is positive.

Given function [tex]f(x)=x^3[/tex] is vertically shifted by 4 units

So, f(x) will become f(x)+4

[tex]f(x)+4 = x^{3} +4[/tex]

So, the required function is [tex]f(x)=x^{3} +4[/tex]

Therefore, the required function when the parent function is stretched comes to be [tex]f(x)=x^{3} +4[/tex].

To get more about graphs visit:

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Answer:

A

Step-by-step explanation:

edge, 2022

This one is hard! try your best please.
A box contains 9 identical glass spheres that are used to make snow globes. The spheres are tightly packed, as shown below.

Answers

Answer:

1. 301.6 [tex]in^{3}[/tex]

2. 576 [tex]in^{3}[/tex]

3. 274.41 [tex]in^{3}[/tex]

Step-by-step explanation:

We know that the diameter of one of the spheres must be 4 in, because the length of the box is 12 in and there are 3 spheres along each side, and [tex]\frac{12}{3} =4[/tex]. That means that the radius of a sphere is 2 in. Put 2 into the formula for the volume of a sphere, and then multiply your solution by 9, to get the total volume.

Then, you can find the volume of the box, because you know its dimentions are 12x12x4.

Subtract your answer for part 1 from your answer for part 2, and you have the solution to part 3. Hope this helps!! :-)

What is the length of the line segment whose endpoints are A(-1,9) and B(7,4) in the simplest radical form?

Answers

length : [tex]\sf \sqrt{89}[/tex]

Explanation:

use the distance formula : [tex]\sf \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

using the formula:

[tex]\sf \rightarrow \sf \sf \sqrt{(7--1)^2+(4-9)^2}[/tex]

[tex]\sf \rightarrow \sf \sf \sqrt{(8)^2+(-5)^2}[/tex]

[tex]\sf \rightarrow \sf \sf \sqrt{64+25}[/tex]

[tex]\sf \rightarrow \sf \sf \sqrt{89}[/tex]

Answer:

[tex]\sf \sqrt{89}[/tex]

Step-by-step explanation:

Let A = [tex]\sf (x_1,y_1)[/tex] = (-1, 9)

Let B = [tex]\sf (x_2,y_2)[/tex] = (7, 4)

Distance formula:

[tex]\sf d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Input values into the distance formula and solve for d:

[tex]\sf \implies d=\sqrt{(7-(-1))^2+(4-9)^2}[/tex]

[tex]\sf \implies d=\sqrt{8^2+(-5)^2}[/tex]

[tex]\sf \implies d=\sqrt{64+25}[/tex]

[tex]\sf \implies d=\sqrt{89}[/tex]

fasttt please 6,132 ÷ 10³ =

Answers

Answer:

6.132

Step-by-step explanation:

please mark me the brainiest

The answer is 6.312 …..

One winter, a group of students measured snowfall totals at their school. This
chart shows how many inches of snow the students measured each month.
How much total snowfall did they receive at their school that winter?D
MONTH
SNOWFALL
December 3.3
January 10.6
February 2.5
Help pls

Answers

Answer:

The answer is 16.4 inches

Step-by-step explanation:

The result is calculated by adding all the values together. 3.3+10.6+2.5=16.4

The exponential function f is given by f(x) = 3x. by what factor does f increase when the exponent x increases by 2? explain how you know. a 3 b 6 c 9 d 12

Answers

The exponential function f(x) = 3^x, when x has a value of 2 increases by 9.

What is an exponential function?

An exponential function is a function that is in the form: m = ab^x

Where:

a = initial value b = rate of increase x = number of years

F(x) = 3^x

3^2 = 9

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The school band sells carnations on Valentine's Day for $3 each. It buys the carnations from a florist for $0.50 each, plus a $15 delivery charge. When will the cost of the carnations be equal to the revenue from selling them? How many carnations does it need to sell to reach this point?

The cost of the carnations will be equal to the revenue when it has sold
_______ carnations. It will reach this point after it sells ______carnations.

Answers

Answer:

6 carnations

Step-by-step explanation:

0.5x +15 = 3x

x = 6

Please help :)))))))))))

Answers

Answer:

Your answer is C and D

Step-by-step explanation:

Answer:

D. y = -x - 1

Step-by-step explanation:

   We are using slope-intercept form for this problem.

   Since this line is going from upper left to bottom right we know it will have a negative slope.

   The line intersects the y-axis at -1, so the b value is -1.

             The equation for this line is D. y = -x - 1

a triangle has angle measurements of 61°, 84°, and 35°. is this triangle isosceles?

Answers

Answer: No

Step-by-step explanation:

This is not an isosceles triangle because there are different angle measurements. The rule of an isosceles triangle is that it must always have two equal sides and angles.

Lily wants to do fencing around a circular garden that has a radius of 70m. If the cost of fencing is $12 per meter, find the total cost of fencing for the entire garden (use pi=22/7

Answers

Answer:

$5280

Step-by-step explanation:

Since the radius of the circle is 70m, the perimeter or circumference of the circle is 2πr --> 2 * 70 * 22/7 which is 440 meters. Since each meter of fencing costs $12, the total cost of the fencing is $5280

Mai's family is traveling in a car at a constant speed of 65 miles per hour.

a. At that speed, how long will it take them to travel 195 miles?


b. How far do they travel in 30 minutes?

Answers

Answer:

a) 3 hr    b  )  32.5 miles

Step-by-step explanation:

195 m / 65 m/hr = 3 hr

65 m/hr  *  1/2 hr = 32.5 miles

Point K is shown on the number line below .
Which number sentence BEST describes the value represented by point K?

Answers

Answer: B. K < 13. K is 12.5, 12.5 is less than 13

1. Its not D because at the ending points of the number line; 10-20, which is less than 30.

2 It is not C because K is not on 15

3 It is not A because 12.5 is less than 13.

Hope it helps!!

please helpppp pleaseee

Answers

а. 5

b. 180(5-3)=540

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

Ann​'s car can go 288 miles on 8 gallons of gas. During a drive last​ weekend, ann used 5 gallons of gas. How far did she ​drive?

Answers

Answer:

180 miles

Step-by-step explanation:

Ann's car can go 288 miles on 8 gallons

Base rate

= No. of miles / No. of gallons= 288 / 8⇒ 36 miles per gallon [Important to rememeber!]

5 gallons

Distance for 5 gallons = base rate x 5Distance = 36 x 5Distance = 180 miles

Answer:

180

Step-by-step explanation:

288:8=36 means with 1 gallon can drive 36 km

5 gallon used last week so 5*36 =180 km

Which quadratic function in standard form has the values a = –3. 5, b = 2. 7, and c = –8. 2? f(x) = 2. 7x2 – 8. 2x – 3. 5 f(x) = 2. 7x2 – 3. 5x – 8. 2 f(x) = –3. 5x2 – 8. 2x 2. 7 f(x ) = –3. 5x2 2. 7x – 8. 2.

Answers

The answer which would absolutely be pi (I’m incorrect am I.)

What is the area of a square with vertices: G(1, 0), O(5, 2), A(3, 6) and T(-1, 4)? Show your work!

Answers

By finding the side length of the square, we will see that the area is 20 square units.

How to get the area of a square?

For a square of side length S, the area is:

A = S^2

In this case, the side length of the square will be the distance between two consecutive vertices, so we can say that S is the distance between points G and O.

Remember that the distance between two points (x₁, y₁) and (x₂. y₂) is:

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

So the distance between the points G(1, 0) and O(5, 2) is:

[tex]S = \sqrt{(5 - 1)^2 + (2 - 0)^2} = \sqrt{20}[/tex]

Then the area of this square is:

[tex]A = S^2 = (\sqrt{20})^2 = 20[/tex]

The area is 20 square units.

If you want to learn more about squares, you can read:

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Beverly's average mark for nine examination papers was 89.5. How many marks did she score altogether?​

Answers

Answer:

805.5 out of 900

Step-by-step explanation:

A test is out of 100 and because there are 9 tests: 9 x 100 which equals 900.

To get the average we add up each test mark and divide by the number of tests. The same can be applied here but reversed. So because there were 9 tests we can multiply 89.5 by 9 which gives us 805.5. Beverly scored 805.5 marks out of 900 which makes her average 89.5% for 9 tests.

4x^2 - y^2 - 2x- y

Factorise each of the following expressions completely

Answers

Answer:

(2x + y)(2x - y - 1)

Step-by-step explanation:

4x² - y² - 2x - y

4x² - y² is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , then

4x² - y²

= (2x)² - y²

= (2x - y)(2x + y)

expression is now

(2x - y)(2x + y) - (2x + y) ← factor out (2x + y) from each term

= (2x + y)(2x - y - 1)

I need help on this question

Answers

Answer:

0.007 kg

Step-by-step explanation:

[tex]1000\ grams=1\ kg\\ 7\ grams=0.007\ kg\\ Check\ conversion[/tex]

I hope this helps you

:)

Altitude is the height in relation to sea level. Umar walks from a valley to a hilltop. The valley has an altitude of -32 1/2 feet. The hilltop has an altitude of 85 3/4 feet. What is the altitude change from the valley to the hilltop?

Answers

Answer:

118.25

Step-by-step explanation:

Please I need help
Will give brainlest answer !!!!!!

Answers

Answer:

See below ↓

Step-by-step explanation:

We need to check the different time intervals to find the max. height

t = 0 or 1 [both give same result]f(1) = -16(1) + 16(1) + 12 = 12 feet

   2. t = 2

f(2) = -16(2)² + 16(2) + 12 = -20 feet

⇒ Clearly as she is diving, her maximum height will be her initial height which is 12 feet

⇒ To achieve this, it takes her 0 seconds [initial height = no time needed]

Taking f(x) = 0 [surface of water → just touching/hit the water]

0 = -16x² + 16x + 124x² - 4x - 3 = 04x² - 6x + 2x - 3 = 02x(2x - 3) + 1(2x - 3) = 0(2x + 1)(2x - 3) = 0x is positivex = 3/2 = 1.5 seconds

⇒ After 1 second, she is 12 feet above the water

⇒ The diving board is 12 feet above the water

In the parallelogram shown, find the measure of ∠A.

Answers

Answer: 40 degrees

Step-by-step explanation:

At the start of a science experiment, the temperature is 10 degrees Celsius. If the temperature decreases by a constant rate of 3 degrees Celsius each minute, what will be the temperature, in degrees Celsius, after 5 minutes?

Answers

Answer:

-5°C

Step-by-step explanation:

Let T1 be the temperature at the start of the experiment.

We know, T1 = 10°C

Rate of decrease in temperature = 3°C per minute.

Total temperature decreased after 5 minutes (T2) = (3*5)°C

= 15°C

The final temperature (T) = T1 - T2 = 10°C - 15°C = -5°C

Pls help me solve this

Answers

30 red, 45 brown, 51 Orange, 39 yellow.
You need to add together the 4 numbers in the chart 10+15+17+13=55 then you do 10/55=0.1818... then times by 165 and do this for the other numbers as well.

Find the area of this triangle. round to the nearest tenth.

Answers

Answer:

67.5ft²

Step-by-step explanation:

1/2xhxb

1/2x9x15

4.5x15

67.5ft²

Hope this helps!!!!

Find the x-intercept and y-intercept of the line.
=+6x3y−6

Answers

The answer is:


The x and y-intercepts are 3/7 and -3
Respectively.The slope is 7.
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