Mathematics High School

16
| 27
Find the exact value of z.

16| 27Find The Exact Value Of Z.

Answers

Answer 1

a² + b² = c²

First find out the length of the line in the middle. We know that a² + 16² = 27², which means a = √473

Now write out all the equations for all the right triangles in the diagram.

Let the side of the base of the triangle be x and the remaining sides of z be y.

x² + 27² = (16+ y)²

y² + (√473)² = x²

From here solve and find y. Once you get y, y + 16 is your z, the answer.

Related Questions

I need help quick I’ll give brainliest

Answers

Answer:

Area of circle - Area of square

radius of circle is 8m

side of squre os 12m

Step-by-step explanation:

Area of circle is pie r^2

22/7 × 8 × 8

22/ 7 × 64

= 201.14m^2

Area of square is side ^2

12 ×12

= 144m^2

hence 201.14 - 144

= 57.14m^2 is the area of shaded figure

GOOD LUCK FOR THE FUTURE! :)

Question 20:- Fahein is interested in purchasing an AC too. He will give three times more points to energy efficiency and two points more to noise levels than sevices and installation. Whereas, design features don't matter to him. In this case he devises a way to compare the 5 models. Which one is the correct formula given his preferences?

Answers

Answer:

[tex]Total = 3E + 2N + S[/tex]

Step-by-step explanation:

Given

Represent

Efficiency with E; Noise Level with N

and Service and Installations with S

Required

Determine the correct formula

From the question

3 points goes to E: i.e. 3E

2 points goes to N: i.e. 2N

The above is the number of points more than service and installations.

So 1 point will be given to S i.e. S

The total or formula is:

[tex]Total = 3E + 2N + S[/tex]

a car is going west at 60mi/hr for 5 hours how can you write that the car is travelling west with a number

Answers

Answer:

Step-by-step explanation:

not sure I understand the question but

60mi/h west?

Adam and Katy both receive a bonus.
Adam receives 30% of £80
Katy receives £28
Work out the difference between the bonus Adam gets and the bonus Katy gets.​

Answers

Step-by-step explanation:

Adam's bonus

30/100= 0.3

0.3 *80=24

therefore Adam's bonus is £24

since Katy bonus is £28

The difference between the bonus Adam gets and the bonus Katy gets

£28 -£24 =£4

HELP WHAT IS THE SLOPE!!!!!

Answers

If the lines are parallel, they should have the same slope. So in this case would be -5/3
Hope this helps!

Find the slope of each line.

The slope of your line is __
so the rate is $__ per week.

The slope of your friend's line is __
so the rate is $__ per week.

How much more money does your friend save each week than you?

Your friend saves $__ more.

I'll do 15 points this time.

Answers

Slope of your line is 20, rate of change is 20, slope of friends line is 15, rate of change is 15, she saves 5 more bucks each week,

-24x^3y^2+16xy^3+12y^3

Answers

Answer:

4y^2 x (6x^3 - 4xy - 3y)

Step-by-step explanation:

Factor out -4y^2 from the expression

what is the measure of angle EXF

Answers

Answer: i don't know

Step-by-step explanation:

Answer:

30

Step-by-step explanation: because 3×10 equals 30

Prove that 3 + 2√5 is irrational

Answers

Answer:

A rational number is any integer, fraction, terminating decimal, or repeating decimal. The square root is not rational.

good luck, i hope this helps :)

Jackie runs and rides her bike. She runs 6 miles an hour. She bikes 18 miles an hour. Last week she ran and bikes a total of 216 miles. It took her 16 hours. How many hours did Jackie run and bike last week. Show your work

Answers

Answer: she bikes for 10 hours and runs for 6

Step-by-step explanation: suppose that x equals the amount of hours she runs and y equals the amount of hours she bikes.

6x+ 18y=216

x+y=16

(This is your system of equations)

(Starting with the second equation, x+y=16)

y=-x +16 (move x to the other side by transposition)

Now that you have something that equals Y you plug it in to the other equation:

6x+18(-x+16)=216

(Start solving)

6x-18x+288=216 (used distributive property)

-12x+288=216 (Combine like terms)

-12x=-72 (use transposition again)

x=6 (divide to get x by itself)

Now you plug in the value of x into your equation for the value of “y”, y=-x+16,

Y=-6+16 (plugged in the value of x)

Y=10 (solved the equation -6+16)

Petrov ran 7 laps around a track.Each lap around the track is a distance of 1/4 mile. What is the total distance Petrov ran in feet?

Answers

Answer:

9240 feet

Step-by-step explanation:

Petrov ran 7 laps around a track.Each lap around the track is a distance of 1/4 mile.

Step 1

The total distance Petrov ran in miles is calculated as:

1 lap = 1/4 mile

7 laps = x mile

Cross Multiply

x = 7 × 1/4 mile

x = 1.75 miles

Step 2

What is the total distance Petrov ran in feet?

1 mile = 5280 feet

1.75 miles = x

Cross Multiply

x = 1.75 × 5280 feet

x = 9240 feet

Therefore, the total distance Petrov ran in feet is 9240 feet

Which function is equivalent to g(x) = 9 x2 - 24 x + 16?

Answers

Answer:

Step-by-step explanation:

discriminant = (-24)²  - 4(9)(16) = 0, so there are two identical roots.

That eliminates choices 2 and 4.

Quadratic formula

x = [24 ± √(24² – 4·9·16)] / [2·9]

 = 24 / 18

 = 4/3

9x² - 24x + 16 = 9(x-4/3)² = (3x-4)²

Cuanto es (10²-80) ayudaaa!! ​

Answers

Answer:

20

Step-by-step explanation:

7t-3t+4t-5t show working​

Answers

Answer:

3t

Step-by-step explanation:

7t-3t+4t-5t

Combine like terms

7t -3t = 4t and substitute back into the expression

4t +4t -5t

4t+4t = 8t and substitute back into the expression

8t - 5t

3t

What’s the answer for a and b pls

Answers

Answer:

a.  blue

b.    3/8

Step-by-step explanation:

a. blue
b. 4/8 or 1/2

10 of 10
This recipe makes 4 portions of potato soup.
Richard follows the recipe but wants to make 16 portions.

Complete the amounts of each ingredient that he needs.
Recipe: Serves 4
40 mL oil
50 g onions
300 g potatoes
550 mL milk

Answers

Answer:

Multiply 4 portion by 4 to make 16 portions

Step-by-step explanation:

Recipe for 4 portions of potato soup:

40 mL oil

50 g onions

300 g potatoes

550 mL milk

Richard follows the recipe but wants to make 16 portions.

Multiply each ingredients by 4 to make 16 portions of potato soup

Recipe for 16 portions of potato soup:

160 mL oil

200 g onions =

1200 g potatoes =

2200 mL milk

y=5x+1 graph the equation

Answers

This is how you would graph y=5x+1

Just choose values for x like (-2,-1,0,1,2) then replace it in the equation. Ex. For -2 it would be y=5(-2)+1
Y=-9
So the point would be x=-2 and y=-9

Simplify the expression below.

15+x-10

Answers

Answer:

x+5

Step-by-step explanation:

15+x-10=x+5

CAN SOMEONE PLEASE HELP ME WITH THIS LIKE I NEED THIS FOR A GRADE PLEASE ANYONE!!

Answers

Answer:

C

Step-by-step explanation:

Answer:

its b cause its asking you to 3 3 3 its 9 theres 2 ms and 5 cs bassicly out in a si.pkw form

what is an equation for (-4,7)

Answers

Answer:

28

Step-by-step explanation:

-4x7=28

y=-4x+7

Follow y=mx+b slope formula!!

please help me ASAP this is very important explain for brainlist.

Answers

Answer:

68%

Step-by-step explanation:

17 divided by 25 = .68

Si un automóvil tiene 1.500 kg de masa y una velocidad de 5 m/s, ¿cuál es la energía cinética de un automóvil?

Answers

Answer:

E = 18750 J

Step-by-step explanation:

The question is "If a car has a mass of 1,500 kg and a speed of 5 m / s, what is the kinetic energy of a car?"

Mass, m = 1500 kg

Speed, v = 5 m/s

We need to find the kinetic energy of the car. The formula for kinetic energy is given by :

[tex]K=\dfrac{1}{2}mv^2\\\\K=\dfrac{1}{2}\times 1500\times (5)^2\\\\K=18750\ J[/tex]

So, 18750 J is the kinetic energy of the car.

8
Express sin A, cos A, and tan A as ratios.
12
613

Answers

Answer:

see explanation

Step-by-step explanation:

sinA = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{6\sqrt{3} }{12}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex]

cosA = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{6}{12}[/tex] = [tex]\frac{1}{2}[/tex]

tanA = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{6\sqrt{3} }{6}[/tex] = [tex]\sqrt{3}[/tex]

Question 2
Acookbook originally cost $12.00. Yesterday, Marta bought it at 1/3 off. How much was deducted from the original price?

Answers

Answer:

4$ was deducted

Step-by-step explanation:

-15x+24+16x=3x-24-3x-24-3x how to make one solution by adding A 3x to both sides of the equation and simplify B. by adding 24 to both sides C by subtracting 3x from both sides or D.by subtracting 24 from both sides

Answers

Answer:

B

Step-by-step explanation:

Answer:

Answer is B

Step-by-step explanation:

The mean of five numbers is 12.
Four of the numbers are 7, 2, 15 and 4.
Work out the fifth number

pls help i'm on a timer

Answers

Answer:

the answer is 32

Step-by-step explanation:

the sum of 4 numbers is 28 you need an number that if you divide by 5 is 12 so its 32 because 60÷5=12

Answer:

32

Step-by-step explanation:

12*5=60

60-(7+2+15+4)=32

whoever answers right gets brainliest

Answers

Answer:

2

Step-by-step explanation:

I dont know for sure though...

a factor of 15 and a factor for 24​

Answers

Answer:

3

Step-by-step explanation:

Factors for 15 : 1, 3, 5, and 15
Factors for 24: 1, 2, 3, 4, 6, 8, 12, and 24

What is the measure of the missing angle?

25°

60°

85°

35°

Answers

Answer:

60

Step-by-step explanation:

hat is the 4th equivalent fraction to 1/11​

Answers

Answer:

4/44 i think

Step-by-step explanation:

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