PLEASE I REALLY NEED YOUR HELP ASAP!! WILL MARK BRAINIEST
Find each length
5. the length of the hypotenuse of a 45 degree- 45 degree- 90 degree triangle with a leg of 12
6. the length of the longer leg of a 30 degree- 60 degree- 90 degree triangle with a hypotenuse of 14, where theta = 60 degrees

Answers

Answer 1

Answer:

12√2

7√3

Step-by-step explanation:

PLEASE I REALLY NEED YOUR HELP ASAP!! WILL MARK BRAINIESTFind Each Length5. The Length Of The Hypotenuse
Answer 2

The length of the hypotenuse of a 45°-45°-90° triangle with a leg of 12 is 12√2 and the length of longer leg is 7√3 for 30°-60°-90° triangle.

What is Right Angled Triangle?

Right angled triangle are those triangle for which one of the angle is 90 degrees.

Ratio of the sides of a 45°-45°-90° triangle is 1 : 1 : √2.

That is,

If sides opposite to 45° = x, then the side opposite to 90° = √2 x

That is, length of the hypotenuse = √2 x

Given length of a leg = 12

Length of the hypotenuse = √2 × 12 = 12√2.

Ratio of the length of sides of 30°-60°-90° triangle is 1 : √3 : 2.

That is,

Length of side opposite to 30° = x

Length of side opposite to 60° = √3 x

Length of side opposite to 90° = 2x  (Hypotenuse)

We have to find the longer leg, that is √3 x.

Length of hypotenuse = 14

2x = 14 ⇒ x = 7

Length of longer leg = 7√3

Hence the lengths are 12√2 and 7√3.

To learn more about Right Angled Triangles, click :

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Related Questions

You put $1000 in a savings account. The account earns 5% simple interest per year. How many years will the money need to remain in the savings account in order to earn $200 in interest?

Answers

Answer:

Im not sure but i think it is 30.

Step-by-step explanation:


Answer = 28years


After 28 years you’re principal would be $4,032 and 5% of that would be about 200$

Over the last three evenings, Ivanna received a total of 116 phone calls at the call center. The third evening, she received 4 times as many calls as the first
evening. The second evening, she received 10 fewer calls than the first evening. How many phone calls did she receive each evening?

Answers

Answer:

first evening = 21 phone calls

second evening = 11 phone calls

third evening = 84 phone calls

Step-by-step explanation:

Total phone calls = 116

Let

Number of calls in the first evening = x

The second evening = x - 10

The third evening = 4x

Total phone calls = first evening + second evening + third evening

116 = x + (x - 10) + 4x

116 = x + x - 10 + 4x

116 + 10 = 6x

126 = 6x

x = 126 / 6

x = 21 phone calls

Number of calls in the first evening = x

= 21 phone calls

The second evening = x - 10

= 21 - 10

= 11 phone calls

The third evening = 4x

= 4(21)

= 84 phone calls

a) Work out angle x.
x
55°
b) Write down the value of angle y, giving a reason for your answer.
y =
67°​

Answers

Answer:

math is hard for me but yeah a good place to find answers is here or ggl maybe search on gg and the at the end put answer key i do that a lot hope my

Step-by-step explanation:

explanation helps

Each square is one square unit. Sienna uses the same square units to draw a 6 x 2 rectangle and says that it has the same area as the 3 x 4 rectangle. Is she correct?

Answers

Answer:

Yes, Sienna is correct because 6 times 2 is 12 and 3 times 4 is 12.

What is the slope in th
y=x + 3

Answers

Answer:

1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

The slope is 1 which is times to the variable x. When there is x by itself then remember that there is a 1 times to the x.

Hope this helps, thank you !!

6 over square root 3

Answers

I think its 3.46410161514

Sorry if im wrong :)
3.46410161514 i calculated it and that’s what I got uhhhh

The side of a box has length x feet, and another side has length (x-7) feet. What value of a would produce an area of 18 square feet?

Answers

Answer:

x=9

Step-by-step explanation:

(9-7) = 2

9 times 2 = 18 square feet

Value of x is 9 , -2

Given that;

Length of box = x feet

Width of box = (x - 7) feet

Area of box = 18 square feet

Find:

Value of x

Computation:

Area of rectangle = Length × Width

Area of rectangular box = x × (x - 7)

x² - 7x = 18

x² - 7x - 18 = 0

Using factorisation;

x² - 7x - 18 = 0

x² - (9 - 2)x - 18 = 0

x² - 9x + 2x - 18 = 0

x(x - 9) + 2(x - 9) = 0

(x - 9)(x + 2) = 0

So,

x = 9,  x = -2

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The solution to a system of linear equations is (0,4) one of linear equations in the system is y=8x+4

Answers

Answer:

(-1/2, 4)

Step-by-step explanation:

Get the x intercept. The x intercept occurs at when y = 0

0 = 8x + 4

-8x = 4

x = 4/-8

x = -1/2

Get the y intercept

y intercept occurs at x = 0

y = 8(0) + 4

y = 0+4

y = 4

Hence the required solution is (-1/2, 4)

!!!Please Help!!! Urgent!!! -Geometry 1

FIND THE QUADRANTS OF POINT P of triangle PST, a 45°-45°-90° triangle with vertices S(3, −5) and T(−4, 2) and mangleS = 90°. P is in Quadrant I.

Answer in simplest radical form.

Please help it would be very much appreciated (:

Answers

Answer:

Coordinates of P:  (10,2)

Step-by-step explanation:

Slope of ST = (2-(-5))/(-4-3) = -1

angle S = 90° so Slope of SP = 1

P(10,2)

Ella takes hours to complete a painting. Holly takes of the time that Ella takes. How long will Holly take to complete 5 paintings

Answers

Answer:

6 hours

Step-by-step explanation:

Ella takes 1 3/5 hours to complete a painting. Holly takes 3/4 of the time that Ella takes. How long will Holly take to complete 5 paintings?

Ella =1 3/5 hours = 8/5 hours

Holly = 3/4 of 8/5 hours

= 3/4 × 8/5

= (3*8)/(4*5)

= 24/20

= 6/5 hours

Number of hours : number of painting = 6/5 hours : 1 painting

How long will Holly take to complete 5 paintings

Let x = number of hours

Number of hours : number of painting = x hours : 5 painting

6/5 hours : 1 painting = x hours : 5 painting

6/5 ÷ 1 = x ÷ 5

6/5 × 1/1 = x / 5

6/5 = x / 5

Cross product

6 * 5 = 5 * x

30 = 5x

x = 30/5

x = 6 hours

It will take Holly 6 hours to complete 5 paintings

Find the missing sides of the triangle. Leave your answers in simplest radical form. Please help!

Answers

Hello I think X is 9 and Y is 8

PLEASE HELP :)))
triangle similarity theorem

Answers

Answer:

x= 24 if this right there

michelle says that 4,902 x 0.001 is the same as 4,902 ÷ 10³

Answers

Answer:

Michelle is correct.

Step-by-step explanation:

The statement Michelle said is valid and correct since 10 to the power of 3 in the denominator is equivalent to 0.001 in the numerator.

Dividing by 1,000 is the same as multiplying by 0.001.

how do I explain this?​

Answers

Answer:

Step-by-step explanation:

To do this, we have to prove that ∠1=∠5. We can do this using the corresponding angles theorem, which states that these two angles are congruent. Since ∠G=∠1, we can say ∠G=∠1=∠5, and as this, ∠G=∠5

What is the length of segment AB?

Answers

Answer:

Option 1

Step-by-step explanation:

Use Pythagorean theorem,

AB² = base² + altitude²

      = 7² + 6²

     = 49 + 36

     = 85

AB =√85

Answer:

option a.

6²+7²=ab²(by Pythagoras theorem)

36+49=ab²

85=ab²

square root 85=ab

The temperature at 6 AM what is -12°F the temperature increased by 1/2°F each hour for six hours what is the temperature in degrees Fahrenheit at noon

Answers

1/2 degree x 6 hours = 3 degree increase.

-12 + 3 = -9

The temperature at noon was -9 degrees.

Thomas decides on a destination for his vacation. If he takes the train there, it will take 5 1/8 hours to get there. If he takes the plane, it will take him 2 2/3 hours

Answers

Answer: 2 11/24

Step-by-step explanation:

How many hours does the plane save?

Time taken for the train = 5 1/8

Time taken for the plane = 2 2/3

The number of hours saved will then be:

= 5 1/8 - 2 2/3

Let the lowest common multiple be 24

= 5 3/24 - 2 16/24

= 2 11/24

The number of hours saved by the plane will be 2 11/24

Solve the equation for y. Type out your steps to solve this problem as you are showing your work:

4y – 4 = 2y + 8

Answers

y = 6

4y - 4 = 2y + 8
subtract 2y from both sides
2y - 4 = 8
add 4 to both sides
2y = 12
divide both sides by 2
y = 6

A shirt increased by 1/4 after the increase it was priced at £65 what was the original price of the T-shirt

Answers

Answer:

Step-by-step explanation:

A shirt increased by 1/4 after the increase it was priced at £65 what was the original price of the T-shirt

Find the slope of (0,4), (-5,2)

Answers

Answer:

-4/5

Step-by-step explanation:

A person earns ​$17,300 one year and gets a​ 5% raise in salary. Calculate the new yearly salary using a percent greater than 100.

Answers

Answer: $18,375

Step-by-step explanation:

The person was earning $17,300 and got a 5% raise.

The $17,300 represents 100% of itself. If it were to increase by 5% therefore, the new salary would be: 100 + 5 = 105%

The new salary would be 105% of $17,300.

= 17,300 * 105%

= 17,500 * 105/100

= $18,375

Consider the equation showing the distributive property.

84 +93 = 3 (28+ D)

Enter the unknown value that would make the equation true.

t

X

1

2

3

4

5

7

8

9

0

Answers

Answer:

D = 31

Step-by-step explanation:

Consider the equation showing the distributive property.

84 +93 = 3 (28+ D)

The unknown value we are asked to find is D

Hence:

84 + 93 = 84 + 3D

Collect like terms

84 - 84 + 93 = 3D

93 = 3D

D = 93/3

D = 31

Therefore, the unknown value that would make the equation true is 31

you and your want to go rock climbing. How far is the top?

Answers

Answer:

the top is far up

Step-by-step explanation: if u  fall u will die

PLEASE HURRY PLEASE HURRY ILL MARK BRANLIEST

Answers

Answer:

Option 2 and option 4

Step-by-step explanation:

Andrew owns a lawn-mowing business which contracts with 43 customers each week. Last week the business earned $870.75. How many weeks will it take to earn $6095.25?

Answers

Answer:

2

Step-by-step explanation:

6095.25/870.75 = 6.999 so 7 weeks

What is the value of the expression 44?
Please help I only have an hour! I will give brainliest!

Answers

Answer:

256

Step-by-step explanation:

The value is 256 because 4^4 is 4*4*4*4 which equals 256 :))

Hope this helps:)) Plz mark Brainliest :))

Choose the correct algebraic equation to represent: the amount decreased by $9 is $42.
Giving brainlist please help!


9 - m

9 – m = 42

m - 9

m – 9 = 42

Answers

m - 9 = 42

42 is our final answer so that should be by itself.

If something is being decreased by 9, that means that we are taking away 9 from something so it should be m - 9.

Answer:

m-9=42

Step-by-step explanation:

I'm pretty sure that m-9=42 is the correct answer because m or the amount is being decreased by 9 as 9 is being subtracted from it.

please help me i need help

Answers

Answer:

21/8 cups of vegetables per cup of cheese

round 0.0564 correct to the 1 significant figure​

Answers

Answer:

0.06

Step-by-step explanation:

What is the distance between (-6,4) and (-8,6)? Choose 1 answer:

A. 2
B.3
C
[tex] \sqrt{4} [/tex]
D
[tex] \sqrt{8} [/tex]

Answers

Answer:

D

Step-by-step explanation:

We want to find the distance between (-6, 4) and (-8, 6).

We can use the distance formula given by:

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

Let (-6, 4) be (x₁, y₁) and let (-8, 6) be (x₂, y₂).

Substitute:

[tex]d=\sqrt{(-8-(-6))^2+(6-4)^2[/tex]

Evaluate:

[tex]d=\sqrt{(-2)^2+(2)^2[/tex]

Evaluate:

[tex]d=\sqrt{4+4}=\sqrt{8}[/tex]

Hence, our answer is D.

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