In triangle DEF, find the missing side as an exact value:

In Triangle DEF, Find The Missing Side As An Exact Value:

Answers

Answer 1

Answer:

8.60

Step-by-step explanation:

the diagram is optically misleading.

how can the 5 side be longer than the 7 side ?

but ignore that.

the important thing is that this is a triangle with a 90 degree angle.

so, we use Pythagoras' formula : a^2 + b^2 = c^2

we know a and b as 7 and 5.

so, the equation is 7^2 + 5^2 = c^2

=> 49 + 25 = c^2

=> 74 = c^2

=> the missing side length c is

[tex] \sqrt{74} = 8.60[/tex]


Related Questions

solve the following :
7+2x/3= 5
and
3x+4/2= 9.5

Answers

Answer:

x= 4

x= 5

Step-by-step explanation:

7 + 2(4)/ 3 = 5

7 + 2(4)/3 = 5

7+8/3 = 5

15/3 = 5

3(5) +4/ 2 = 9.5

15+4/2 = 9.5

19/2 = 9.5

The person from above me is correct. Thanks for the points btw. Ask me if u need any help

if m1=35° and m2=75°, what is m3?​

Answers

Answer:

m3 should be 70°

all internal angles of a triangle add up to 180

180-35-75 = 70

Answer:

All angles of a triangle add up to 180°.

there m1+m2+m3=180°

35+75+m3=180

110°+m3=180°

m3=180°-110°

m3=70°

Answer is A.

How does the number 32.4 change when you multiply it by 10 of the power of 2

Answers

The answer is 104,976

does anyone know this?

Answers

Answer:

Hello! answer: a = 24

Step-by-step explanation:

30 × 30 = 900 18 × 18 = 324 900 - 324 = 576 24 × 24 = 576 therefore a = 24 Hope that helps!

What is the surface area of a cereal box with a height of 10 inches, a width of 4 ½ inches, and a length of 7 inches?

Answers

Answer:

Surface area of a box = 293 inches ²

Step-by-step explanation:

Surface area of a box = 2(lw + lh + hw)

Where,

l = length = 7 inches

w =width = 4 1/2 inches

h = height = 10 inches

Surface area of a box = 2(lw + lh + hw)

= 2(7*4.5 + 7*10 + 10*4.5)

= 2(31.5 + 70 + 45)

= 2(146.5)

= 293 inches ²

Surface area of a box = 293 inches ²

Nathan buys a blender with a listed price of $65. Nathan uses a coupon that provides 20% off. What is the total final price Nathan pays?

Answers

Answer:

$52

Step-by-step explanation:

Given data

Price of blender= $65

Coupon = 20%

Let us find the amount of the coupon

=20/100*65

=0.2*65

=$13

Hence the amount of the coupon is $13

The total price Nathan pays is

=65-13

=$52

Luther bought a juice box shaped like a rectangular prism. The juice box is 4 inches tall, 3 inches wide, and 1.5 inches deep. Each cubic inch of the juice box holds 0.55 fluid ounces of strawberry-kiwi punch.
How many fluid ounces of punch does the juice box hold?

Answers

L*W*H gets you 18 cubic inches and is each holds 0.55 fluid ounces then that gets you a total of 9.9 fluid ounces

If u=0, make t the subject of the following equation: s=ut+1/2at^2 Please look at image.

Answers

Answer:

[tex]t=\sqrt{\dfrac{2s}{a}}[/tex]

Step-by-step explanation:

The given equation is :

[tex]s=ut+\dfrac{1}{2}at^2[/tex]

Where

s is displacement

u is the initial velocity

a is acceleration

t is time

If u = 0, the above equation become,

[tex]s=\dfrac{1}{2}at^2\\\\t^2=\dfrac{2s}{a}\\\\t=\sqrt{\dfrac{2s}{a}}[/tex]

Hence, the value of t is equal to [tex]\sqrt{\dfrac{2s}{a}}[/tex].

the question is in the snapshot below!

Answers

Answer:

B

Step-by-step explanation:

opposite of ten is -10 and at least is grater that or equal to

Answer:

B is the correct answer

Step-by-step explanation:

please check screenshot

Answers

Answer:

Domain: {-2, -1, 0, 1, 2, 3}

Range: {-5, -3, -1, 1, 3, 5}

Step-by-step explanation:

The domain is the set containing all the x-coordinates, and the range is the set containing all the y-coordinates.

Domain: {-2, -1, 0, 1, 2, 3}

Range: {-5, -3, -1, 1, 3, 5}

Which expression represents a rational number?

Answers

Answer:

C

Step-by-step explanation:

2/7+sqrt121 is just 2/7+11.

This is rational.

Answer:

2/7 + sqrt 121

Step-by-step explanation:

the square root of 121 is a whole number - 11, which is rational and makes the equation rational

help What is the area, in square centimeters, of the trapezoid below?

Answers

Answer:

115.15 cm²

Step-by-step explanation:

The area of a trapezoid = 1/2 (b1 + b2)h

Where:

b1 = first base = 8.2 cm

b2 = Second base = 15.3 cm

h = height = 9.8 cm

Hence, Area of the trapezoid =

1/2 (8.2 + 15.3) × 9.8

= 1/2 × (23.5) × 9.8

= 115.15 cm²

Therefore, the area, in square centimeters, of the trapezoid below is 115.15 cm²

I will give brainliest! What is the length of the segment that joins the points (-5, 4) and (6, -3)?

Answers

Answer:

Your answer would be √170, or square root of 170.

2√3+4√18 in simplest radical form

Answers

Answer:

[tex]2\sqrt{3} + 12\sqrt{2}[/tex]

Step-by-step explanation:

Simplify each term.

solve this please i just need the top answer thx lol :)

Answers

Answer:  x+(x+1)+(x+2) = 63

This is because x is the smallest number, so x+1 is the next value up, and x+2 is the value after that. The parenthesis are optional. I used them to separate out the three expressions. We can simplify the left side to 3x+3, which means that equation in bold is the same as 3x+3 = 63. So there are few ways we can form the equation.

You have the correct answers for the other boxes:

20+21+22 = 63

Nice work.

20, 21, 22

Step-by-step explanation:

Let x = the smallest integer of the three consecutive ones

(x + 1) = the next consecutive integer after x

(x + 2) = the next consecutive integer after (x + 1)

The sum of these three should add up to 63 so

x + (x + 1) + (x + 2) = 63

This simplifies to

3x + 3 = 63

Solving for x, we get

x = 20

Therefore, the three consecutive integers whose sum add up to 63 are 20, 21 and 22.

Add my Discord so we can be besties: BeepBoop #0214 12-14 only please!!​

Answers

Answer: okay sir

Step-by-step explanation:

Rona was driving on an asphalt road that had a 35 mile per hour speed limit posted. A lrr r deer jumped out from the side of the road causing Rona to slam on her brakes. Her tires left three skid marks of lengths 70 ft., 72ft., and71ft. The road had a drag factor of .78. Her brakes were operating at 95% efficiency. The police gave Rona a ticket for speeding. Rona insisted that she was driving under the speed limit. Who was correct (the police or Rona)

Answers

Answer:

The answer is "The cops were correct because the average speed would have been about 39.73 miles per hour as per the calculations."

Step-by-step explanation:

Finding the average skid distance:

[tex]Average=\frac{70+71+72}{3}=\frac{213}{3}=71[/tex]

Calculating the skid:  

[tex]S=\sqrt{30 \times D \times f\times n}\\\\[/tex]  

   [tex]=\sqrt{30 \times 71 \times 0.78\times 0.95}\\\\=\sqrt{1,578.33}\\\\=39.73[/tex]

A class has 12 boys and 16 girls. The teacher needs to pick two volunteers. What is the probability that she chooses a girl given that she chose a boy first? All answers should be given as a fraction in simplest form!
Any help is appreciated!

Answers

Answer:

16/27

Step-by-step explanation:

12 boys and 16 girls

She already chose a boy so now there are (11+16) = 27 possible outcomes

There are 16 favorable outcomes(girl)

so the fraction is 16/27

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

plz help its timed!! will give brainliest

Answers

Answer:

x = 7

Hope this helps!-Finny

WILL GIVE BRAINLIEST!!

A bookstore costs $90 a day to keep open, and it spends $12 for each book that it sells. If each book sells for $18, what is the break-even point for this bookstore?
A. n = 12
B. n = 18
C. n = 15
D. n = 16

Answers

Answer:

Total Cost in a day is . Profit function is . And the revenue function is . In a day, bookstore must sell at least 15 books, because of 6n-90=0, in order to make profit.

Step-by-step explanation:

-90

The break-even point for this bookstore is 15, i.e. correct answer is,

C. n = 15.

Here, we have,

given that,

A bookstore costs $90 a day to keep open,

and it spends $12 for each book that it sells.

If each book sells for $18,

now, we know that,

Breakeven quantity = fixed cost / price – variable cost per unit

now, we have,

$90 / (18 - 12)

=$90 / $6

= 15

so, n = 15

Hence, The break-even point for this bookstore is 15, i.e. correct answer is, C. n = 15.

To learn more about break even, please check: brainly.com/question/17960037

#SPJ7

Simplify the product using the distributive property.
(4h + 6)(4h − 7)


16h2 − 52h + 42


16h2 + 4h − 42


16h2 + 52h + 42


16h2 − 4h − 42

Answers

Answer:

16h^2-4h-42

Step-by-step explanation:

4h times 4h is 16h^2

4h times -7 is -28h

4h times 6 is 24h

6 times -7 is -42

Combine like terms to get 16h^2-4h-42

The football team has a total of 50 jerseys. There are 20 medium-sized jerseys. What percent of the jerseys are​ medium-sized jerseys?

Answers

Answer:40%

Step-by-step explanation:20 divided by 50 is 0.4 then multiply that by 100 and get 40

Answer:

Well the equation for this would 50*.20 = ...

The first half of the answer would be 10.

BUT!

You need to subtract 10 from 50.

50-10 = 40!

There you go.

Step-by-step explanation:

Find each missing measure.

Answers

Answers:

Angle E = 37 degreesAngle G = 37 degrees

============================================================

Explanation:

Angles E and G are congruent base angles of the isosceles triangle. The base angles are opposite the congruent sides EF = FG

Let x be the measure of angle E and angle G.

Adding all three angles of any triangle always gets us 180 degrees.

E+F+G = 180

x+106+x = 180

2x+106 = 180

2x = 180-106

2x = 74

x = 74/2

x = 37

Angles E and G are 37 degrees each

Answer:

37 degrees for both angles

Step-by-step explanation:

Any triangle is equal to 180 degrees

therefore, 180 - 106 = 74

74 / 2 = 37

I divided by 2 because you need an amount of 2 angles.

Thus, angles m<E and m<G are both equal to 37 degree

To check:

106 + 37 + 37 = 180

Hope this helped! Have a great day or night wherever you are and stay safe!

Find the missing length

Answers

Answer:

Last one

Step-by-step explanation:

Plz solve this question

Answers

Answer:

first one

Step-by-step explanation:

and is this a test?

*quickest correct answer gets brainlyest*
Write in standard form (the number) 6.16 x 10^4
61600
6160
6160.000
6160000

Answers

Answer:

[tex]61600[/tex]

Step-by-step explanation:

[tex]10^4\\\\10*10*10*10\\\\100*100\\\\10000\\\\\\10000*6.16\\\\61600[/tex]

Solve the equation for x.​

Answers

Answer:

-110

Step-by-step explanation:

[tex]-\frac{x}{10} =11[/tex]

-x=11×10=110

x=-110

Which function shown below has the greater rate of change? Explain. (Be sure to include the
rate of change for each in your explanation).

Answers

Answer:

Function 1 has a greater rate of change.

Step-by-step explanation:

Function 1 has a rate of change of 3 because 3x is the slope of the line.

Function 2 has a rate of change of 1.5, because when you use rise/run, you get a slope of 3/2.

Function 3 has a rate of change of 2.  You use the formula (y2 - y1) / (x2 - x1) to find the slope. I used (0,0) and (1,2). When you plug in 2 for y2, 1 for x2, and 0 for y1 and 0 for x1, you get (2-0) / (1-0) which is 2/1. That equals a slope of 2.

I need the answer pls

Answers

Answer:

s

Step-by-step explanation:

sdd

Which equation represents the word sentence shown below?

The quotient of a number band 0.3 equals negative 10.

Answers

Answer:

where are the equations?

Step-by-step explanation:

tell me and I will edit my answer to answer ur question

Answer:

Step-by-step explanation:

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