One of the legs of a right triangle measures 6 cm and its hypotenuse measures 10 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.

Answers

Answer 1

Answer:

let base = 6cm

perpendicular =x cm

hypotenuse =10cm

by using Pythagoras law

hypotenuse ²=perpendicular ²+base²

10²=x²+6²

100-36=x²

x=√64=8cm

the measure of the other leg is 8cm

Answer 2

The measure of the other leg of the right triangle is equal to 8 cm.

Let the other leg of the right triangle be the opposite side.

Given the following data:

Adjacent = 6 cmHypotenuse = 10 cm

To find the measure of the other leg, we would apply Pythagorean's theorem:

Mathematically, Pythagorean's theorem is given by the formula;

[tex]Hypotenuse^2 = opposite^2 + adjacent^2[/tex]

Substituting the given parameters into the formula, we have;

[tex]10^2 = opposite^2+6^2\\\\100= opposite^2+36\\\\Opposite^2=100-36\\\\Opposite^2=64\\\\Opposite=\sqrt{64}[/tex]

Opposite = 8 cm

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Henry deposits $7500 in an account earning 2.75% interest compounded monthly. What is the balance in his account after 4 years?

A.$27,579.67
B.$20,160
C.$10,420.49
D.$8371.03

Answers

Answer:

Answer is D

Step-by-step explanation:

What is the 5th term in the sequence 64, 16, 4 ?

Answers

Answer: 1

Step-by-step explanation:

Answer:

1/4 because

1st term 64 : 64/4 = 16

2nd term 16 : 16/4 = 4

3rd term 4 : 4/4 = 1

4th term 1 : 1/4 = 1/4

5th term 1/4

Write the following in slope intercept form. 3x+5=2y

Answers

Step-by-step explanation:

Given

3x + 5 = 2y

Writing in slope intercept form

y = (3x + 5) / 2

y = 3/2 x + 5/2

Hope it will help :)

3x+5=2y

here's some answer's

if it is from exact  then it is : y= 15/2

if it is from decimal then it is : y= 7.5

if it is from mixed number then it is : y 7 1/7

Divide £60 in a ratio of 2:1

Answers

£40 and £20

Step-by-step explanation:

let the parts be 2x and x (2:1)

2x+x=£60

or, 3x= £60

or, x= £20

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Fathers age is twice his daughter age but 16 years ago fathers age was 4 times his daughters age . Calculate their ages

Answers

Answer:

Father's age = 48

Daughter's age = 24

Step-by-step explanation:

Let x be father's age and y be daughter's age.

1st equation:

x = 2y

2nd equation:

(x - 16) = 4(y - 16)

Replacing value of x from 1st equation,

(2y - 16) = 4(y - 16)

2y - 16 = 4y - 64

4y - 2y = 64 - 16

2y = 48

y = 48/2

y = 24

And,

x = 2y

x = 2 x 24

x = 48

8x - x = 64 - 16

7x = 48

I WILL GIVE BRAINLIEST!!

Answers

Answer:

[tex]\text{D. The terms may be combined.}[/tex]

Step-by-step explanation:

Recall that [tex]\sqrt{a\cdot b}=\sqrt{a}\cdot\sqrt{b}[/tex]. Using this, we can simplify and combine the two terms:

[tex]6\sqrt{32}-12\sqrt{72},\\=6\cdot \sqrt{4}\cdot \sqrt{8}-12\cdot \sqrt{9}\cdot \sqrt{8},\\=6\cdot 2\cdot \sqrt{8}-12\cdot 3\cdot \sqrt{8},\\=12\sqrt{8}-36\sqrt{8},\\=-24\sqrt{8}=-24\cdot\sqrt{4}\cdot\sqrt{2}=\boxed{-48\sqrt{2}}[/tex]. Therefore, the terms may be combined.

Find the minimum or maximum value of the function g(x)=−4x^2+16x−15

Answers

i got (2,1)

but the maximum/minimum will always be the y

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What is the exact circumference of the circle?

A 10π ft

B 20π ft

C 40π ft

D 60π ft

Answers

The exact circumstance of the circle is 20pi ft which means the answer is B

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

Given,

Diameter (d) = 20 ft

Radius (r) = ?

[tex]r = \frac{d}{2} \\ r = \frac{20}{2} \\ r = 10 \: \: ft[/tex]

____________________

Now, we've to find the exact circumference (c) ..

[tex]c = 2\pi \: r \\ c = 2\pi \times 10 \\ c = 20\pi ft[/tex]

The answer is [tex]\large\bold{20π \ ft (option \ C)}[/tex]

____________________

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

I need answers to the problem.​

Answers

Step-by-step explanation:

x equals 40

.... good luck!

find the value of x ​

Answers

Answer:

Let the length of missing side x.

x^2 = 16^2 + 30^2

x^2 = 1156

x = √1156

x = 36

Step-by-step explanation:

Hope it is helpful....

Answer:

Step-by-step explanation:

x ² = 16² +30²

x ² = 1156

x = √1156

x =34

How do I solve this using f.o.i.l
(Factoring trinomials)

Answers

it’s not factorable, that’s it’s final form

−7/8≤m−13/8
plz help i will give brain list if right
stay safe

Answers

Answer:

6/8≤m

HOPE THIS HELPS

-Todo <3

Step-by-step explanation:

-7/8≤m-13/8

+13/8    +13/8

6/8≤m

Answer:

answer m≥3/4 it is simplified form of 6/8

Step-by-step explanation:

thank i hope that help

What is a No solution? What is a infinite solution?

Answers

No is a solid answer and infinite solution well that just means anything

Answer:

No solution would mean that there is no answer to the equation. ... Infinite solutions would mean that any value for the variable would make the equation true?

Erik used the Factor Theorem to find the remainder of 2x3-4x2-28x+6 divided by x+3. If he calculated the remainder to be 0, what does that tell him?

Answers

Step-by-step explanation:

x + 3 = 0

x = - 3

f(x) = 2x³ - 4x² - 28x + 6

f(- 3) = 2(- 3)³ - 4(- 3)² - 28 x (- 3) + 6

= 2 x (- 27) - (4 x 9) + 84 + 6

= - 54 - 36 + 90

= - 90 + 90

= 0

Therefore,

x + 3 is factor of 2x³ - 4x² - 28x + 6

Nancy lives in a state where sales tax is 9%. This means you can find the total cost of an item, including tax, by using the expression c + 0.09c, where c is the pre-tax price of the item.

Use the expression to find the total cost of an item that has a pre-tax price of $84.00.

Answers

9514 1404 393

Answer:

  $91.56

Step-by-step explanation:

We can simplify Nancy's cost expression to ...

  c +0.09c = c(1 +0.09) = 1.09c

The the total cost of the item of interest is ...

  (1.09)($84) = $91.56

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Answers

-2≠0 Inconstant and dependent

Substitute y for -5x-2
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0-2 = -2
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Answers

Answer:

29.3

Step-by-step explanation:

to find average you find the sum of all the minutes she practiced and divide it by the total amount of day she practiced.

first we have to find the sum of the minutes she practiced:

20+30+40+38+25+22+39+22+26+31

this equation is equal to 293 minutes she practiced in total. Now we have to divide this by the total amount of days she practiced whice according to the data is 10! So:

293/10 =29.3

PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP
Translate the sentence into an inequality.

Twice the difference of a number and 5 is at most 23.

Use the variable x for the unknown number.

Answers

Answer:

[tex] 2(x - 5)\leqslant \\23[/tex]

Step-by-step explanation:

or

[tex]2x - 10 \leqslant 23[/tex]

The overnight low temperature in Cassidy City was -27 Fahrenheit. The overnight low temperature in Shakerville was -6 Fahrenheit. How much warmer was shakerville than Cassidy City?

Answers

Answer:

Shakerville 21° warmer

Step-by-step explanation:

-27 + -6 = 21

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Answers

Answer:

Step-by-step explanation:

Explicit formula of a G.P. is given by,

[tex]a_n=a(r)^{n-1}[/tex]

Here, [tex]a_n[/tex] = nth term

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Answers

9514 1404 393

Answer:

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Step-by-step explanation:

You seem to have several problems of this type, so we'll derive a formula for the area of an n-gon of radius r.

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  A = (1/2)r²sin(α)

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__

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5x + 13 + (2y-7)i = -2 + i please please help

Answers

hope this helps !!!!

Jeffrey buys a microscope priced at $333.74. Shipping and handing are an additional 10 of the price. How much shipping and handling will Jeffrey pay?​

Answers

Answer would be 42.28

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Answers

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Answer:

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Step-by-step explanation:

Answer:

huh

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

sin40° = opposite / hypotenuse

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How many solutions does the equation 2 + 6(2 – 4) =
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Answers

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Answers

Anything to the 0 power equals 1....

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Answers

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Answers

Answer:

The slope intercept form is y= 7x -4

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