30 points! solve for the unknown length of each right triangle

30 Points! Solve For The Unknown Length Of Each Right Triangle

Answers

Answer 1

Answer: a=5

Step-by-step explanation: Use the pythagorean theorem and get

(a)^2+(12)^2=(13)^2

This would then be (a)^2+144=169

subtract 144 from both sides and get

(a)^2=25

Take the square root of both sides and you get a=5

Answer 2

Answer:

a=5

Step-by-step explanation:

Pythagorean theorem

[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

substitute your values

[tex]a^{2}[/tex] + [tex]12^{2}[/tex] = [tex]13^{2}[/tex]

    - 12    - 12

[tex]a^{2}[/tex] = [tex]13^{2}[/tex] - [tex]12^{2}[/tex]

a = 169-144

a= 25

now find the square root of 25, which is 5


Related Questions

How many 1/2 go in 3/4
How many 1/2 go in to 1/4

Answers

Answer:

1, 0 or 1, 1/2

Step-by-step explanation:

[tex]\frac{1}{2} = \frac{2}{4}[/tex]

2 goes into 3 once

and doesn't fit into 1

So, [tex]\frac{2}{4}[/tex] goes into [tex]\frac{3}{4}[/tex] once

and it doesn't go into [tex]\frac{1}{4}[/tex]

It could also be 1, 1/2

because half of two can fit into 1

so half of [tex]\frac{2}{4}[/tex] can go into [tex]\frac{1}{4}[/tex]

I don't know which one you're looking for...

Sorry

find the factors of each number. Write the common factor ( CF ) and then state the greatest common factor ( GCF) .

Answers

Given:

Two numbers are 12 and 21

To find:

The factors of 12 and 21, then find the common factor and the greatest common factor.

Solution:

Two numbers are 12 and 21. The prime factors of these two numbers are

[tex]12=2\times 2\times 3[/tex]

[tex]21=3\times 7[/tex]

From the above factorization, it is clear that the factor 3 is common in both. So,

Common factor (CF) = 3

Only 3 is common in factorization of both. So,

Greatest common factor (GCF) = 3

Therefore, the common factor is 3 and the greatest common factor is also 3.

Jose has a target of at least $150 in pledges for a walkathon. He currently has $65 in pledges. Write the inequality for the amount (x) Jose has left to raise

Answers

Answer:

65+x=150

he has 65 so if he keeps adding to it which is x and then he will get 150.

a smart phone prices at 235 was on sale for 195. what was the percent discount.
will mark brainliest!! pls help if you can!!

Answers

Answer:

The answer should be 120.512821\%

Step-by-step explanation:

1 To convert the fraction to a decimal, divide the numerator by the denominator.

235÷195

2 Use long division.

1.205128

3 To convert to a percent, multiply the decimal by 100.

1.205128×100=120.512821

4 Add the percent sign.

120.512821%

15. Write an equation of a line in standard form that: 2x + 5 passes through the point (1, 5) and is parallel to y=2x+5​

Answers

Answer:

[tex]y = 2x +3[/tex]

Step-by-step explanation:

Given

Parallel: [tex]y = 2x + 5[/tex]

Passes through (1,5)

Required

Determine the equation

Because it is a parallel to [tex]y = 2x + 5[/tex] then they have the slope.

The slope of [tex]y = 2x + 5[/tex] is 2 i.e. from [tex]y = mx + b[/tex]

So:

[tex]m = 2[/tex]

The line equation is then calculated using:

[tex]y = m(x - x_1) + y_1[/tex]

[tex]y = 2(x - 1) + 5[/tex]

[tex]y = 2x - 2 + 5[/tex]

[tex]y = 2x +3[/tex]

Is a decimeter, centimeter, and millimeter smaller then a meter?

Answers

Answer:

Yes the decimeter centimeter and millimeters is smaller than a meter

Step-by-step explanation:

yes

remember it like this

king hal died mother didn't cry much

(k). (h). (d). (m.). (d). (c). (m)

k-kilometer

h hectameter

d decameter

m metre

d decimetre

c centimeters

m millimetres

that is why

SOMEONE PLEASE HELP IM FAILING THIS CLASS
Given the similar triangles, find the value of x.
AABC~AAGF

Answers

Answer:

x = 4

Step-by-step explanation:

Given that ∆ABC ~ ∆AGF, it follows that their lengths would be proportional to each other. This implies that:

AB/AG = AC/A F

Substitute

55/22 = 30/(4x - 4)

5/2 = 30/(4x - 4)

Cross multiply

5(4x - 4) = 30(2)

20x - 20 = 60

20x - 20 + 20 = 60 + 20

20x = 80

Divide both sides by 20

20x/20 = 80/20

x = 4

Pls answer correctly I’ll give you brainliest

Answers

Answer:

5/-1

Step-by-step explanation:

The two points are (-1, -2) and (-2, 3).

Slope is y change over x change.

So... 3-(-2) over -2-(-1).

That is 5 over -1.

Slope is 5/-1.

Hope this helps :D

elise bought a video game for $85.00. If the store charges 170% of its cost for the game, how much is the store's profit?

Answers

Answer:

$59.5

Step-by-step explanation:

Helpp quick answer!!!!!!!!

Answers

Answer:

110 degrees

Step-by-step explanation:

180 degrees(QT)

both QPS and UPT are 70 degrees

180-70=110 degrees for QPU

:)))

The measure is 110 degrees

3/4-1/2 porfa es para hoy​

Answers

Answer:

1/4

Step-by-step explanation:

... aver si esto ayuda


0.47 is 10 times as much as ? and 1/10 of ?

Answers

i believe 0.47 is 10 times 0.047 and it is 1/10 of 4.7

PLEASE HELP WILL GIVE BRAINLIEST!
y= 3x — 5

y=6x — 8
solve with elimination pls

Answers

Answer:

Point form: (1,-2)

Equation form: x=1 y= -2

Step-by-step explanation:

Hope it helps

It took the paramedics 840 seconds to arrive at the scene. How many minutes did it take for the paramedics to arrive? (Round to the nearest minute, if necessary.)​

Answers

Answer:

14 min

Step-by-step explanation:

Dividing 840 seconds by (60 sec / 1 min) results in 14 minutes.

( (60 sec / 1 min) is a conversion factor, sec to min or min to sec.)

Answer:

14 minutes

Step-by-step explanation:

840/60 = 14

Need help ASAP Plss help

Answers

Linear, the slope stays the same!!
linear because the slope stays the same. if it were to change it would not be linear

the price of the cup of coffee has dropped to 2.50 today. yesterday's price was 2.75. find the decrease percentage and round to the nearest tenth

Answers

2.75/100=0.25/d
d=(100*0.25)/2.75
d=0.9

Please help me with this function on a closed interval!

Answers

Answer:

(E) 13

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

FunctionsFunction Notation

Calculus

Antiderivatives - Integrals

Integration Rule [Fundamental Theorem of Calculus 1]:                                      [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]

Integration Rule [Fundamental Theorem of Calculus 2]:                                     [tex]\displaystyle \frac{d}{dx}[\int\limits^x_a {f(t)} \, dt] = f(x)[/tex]

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \int\limits^4_0 {f'(t)} \, dt = 8[/tex]

[tex]\displaystyle f(4) = \text{unknown}[/tex]

Step 2: Integrate

[Integral] Evaluate [Integration Rule - FTC 1 and 2]:                                     [tex]\displaystyle \int\limits^4_0 {f'(t)} \, dt = f(4) - f(0)[/tex][Integral] Substitute in variables [Given/Table]:                                           [tex]\displaystyle 8 = f(4) - 5[/tex][Addition Property of Equality] Isolate f(4):                                                   [tex]\displaystyle 13 = f(4)[/tex]Rewrite:                                                                                                           [tex]\displaystyle f(4) = 13[/tex]

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Integration

Book: College Calculus 10e

Anyone help please I need this

Answers

Answer:

J = 20.11

Step-by-step explanation:

20.11 i'm pretty sure with top comment

Could the table x,y pairs have been generated by a linear function x 1,2,3,4 y 3,5,7,9

Answers

Thanks for the link tysmmmmmm

A vessel without a lid has the shape of a cylinder. The height of the vessel is 1.5 m, and the diameter of the base represents 40% of the height. Determine if 1 kg of paint is enough to completely paint the vessel inside and out, if it is known that for 1 square meter of surface 150g of paint is consumed.​

Answers

Answer:

Yes, 1 kg of paint is enough to completely paint the inside and outside surfaces of the vessel.

Step-by-step explanation:

For the given vessel without a lid,

diameter = 0.4 x 1.5

               = 0.6 m

radius = [tex]\frac{diameter}{2}[/tex] = [tex]\frac{0.6}{2}[/tex]

           = 0.3 m

Total external surface area of the vessel = 2[tex]\pi[/tex]rh + [tex]\pi[/tex][tex]r^{2}[/tex]

                             = [2 x [tex]\frac{22}{7}[/tex] x 0.3 x 1.5] + [[tex]\frac{22}{7}[/tex] x [tex](0.3)^{2}[/tex]]

                             = 2.8286 + 0.2829

                             = 3.1112

Total external surface area of the vessel is 3.1112 square meter.

Total internal and external surface area = 2 x 3.1112

                                                              = 6.2224 [tex]m^{2}[/tex]

But for 1 square meter, 150 g of paint is consumed. Thus;

for 6.2224 [tex]m^{2}[/tex] = 6.2224 x 150 g

                       = 933.36 g

Thus, 6.2224 [tex]m^{2}[/tex] of area would require 933.36 g of paint.

So that,

[tex]\frac{933.36}{1000}[/tex] = 0.93336 kg

Therefore, 1 kg of paint is enough to completely paint the inside and outside surfaces of the vessel.

***PLEASE HELP***
The U.S. Mint has as specification that pennies have a mean weight of 2.5 g. A sample of 37 new pennies have a mean weight of 2.49910 g and a standard deviation of 0.01648 g. Use a 0.05 significance level to test the claim that this sample is from a population with a mean weight equal to 2.5 g. Use Table A-3 to find the range of values for the P-value.

0.10 < P-value < 0.20

P-value > 0.20

0.05 < P-value < 0.10

P-value > 0.10

Answers

Answer:

ITS THE 3RD CHOICE

Step-by-step explanation:

JUST DID THIS IN FLVS :3

Answer:

Step-by-step explanation:

Its the second choice "P-value > 0.20", the other guy just sold me....


Please help! A botanist plants an avocado seed and a peach seed and observes the heights over time. The graph shows, in inches, of the avocado tree. The picture has the option to choose from. Should be more than one answer.

Answers

Answer:

the avocado seed was planted deeper below the ground.

the peach tree had a greater average rate of change between the 6th and 10th weeks after being planted.

Step-by-step explanation:

you’re welcome

What is the area of this composite figure? A figure is comprised of 2 rectangles. The first rectangle has a length of 10.5 centimeters and width of 15.5 centimeters. The second rectangle has a length of 18 centimeters and width of 11.5 centimeters. 135 centimeters squared 207 centimeters squared 249 centimeters squared 279 centimeters squared

Answers

A is the correct answer i didnt the test

The area of the composite figure is A = 369.75 cm²

What is the Area of a Rectangle?

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the area of the rectangle be A

where A = A₁ + A₂

Now , area of first rectangle A₁ = 10.5 x 15.5

A₁ = 162.75 cm²

And , area of second rectangle A₂ = 18 x 11.5

A₂ = 207 cm²

So , A = 162.75 cm² + 207 cm²

A = 369.75 cm²

Hence , the area of figure is A = 369.75 cm²

To learn more about area of rectangle click :

https://brainly.com/question/15225905

#SPJ3

please help, whoever gets it right I will mark brainliest.

Answers

Answer:

One and Four

Step-by-step explanation:

Answer:

choices 1, 3, & 4 are true, 2 is not

Step-by-step explanation:

Help pls ty!!!!!!
;)) as

Answers

Answer:

Graph 3 is B

Graph 4 is D

Graph 5 is C

Graph 6 is B

Step-by-step explanation:

ANSWER ASAPPPP SAVE MEEEEEE

Answers

Answer:

this is all on you i cant do thatXD

Step-by-step explanation:

what is the value of x and m?

Answers

Answer:

x = 15

m = 15

Step-by-step explanation:

mark brainliest

Find the vertex of the graph! Help please...thank youuuu!!!! <3

Answers

Answer:

S(-2,12)

y= -2(x+2)²+12

Location of coordinate axes:

y=0 → x= -2±√6 (-2-√6,0) (-2+√6,0)

x=0 → y=4 (0,4)

Which fraction is equal to 9%?

A. 1/9
B. 9/10
C. 9/100
D: 90/100
E. 9/1000

Answers

Step-by-step explanation:

1/9 is the correct answer

12 + x/4 > 20
Thank you if you answer!! please just put the answer

Answers

Answer:

The answer is x > 32.

Step-by-step explanation:

1) Subtract 12 from both sides.

[tex] \frac{x}{4} > 20 - 12[/tex]

2) Simplify 20 - 12 to 8.

[tex] \frac{x}{4} > 8[/tex]

3) Multiply both sides by 4.

[tex]x > 8 \times 4[/tex]

4) Simplify 8 × 4 to 32.

[tex]x > 32[/tex]

Therefor, the answer is x > 32.

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