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Dafna1 [17]
2 years ago
8

One of the legs of a right triangle measures 10 cm and the other leg measures 7 cm.

Mathematics
1 answer:
Phoenix [80]2 years ago
6 0

Answer:

12.2 cm

Step-by-step explanation:

we are going to use the formula (below).

Our a and b are going to be our two legs: 10cm and 7cm

C^{2} =10^{2} +7^{2} \\C^{2}=100+49\\C^{2}=149\\C=\sqrt{149} \\C=12.2cm

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Slope of (1,3) and (4,9)
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Answer:

slope = 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (1, 3) and (x₂, y₂ ) = (4, 9)

m = \frac{9-3}{4-1} = \frac{6}{3} = 2

5 0
3 years ago
At a restaurant, you order a meal that costs $8. you leave a 15% tip. the sales tax is 6%. what is the total cost of the meal?
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Easy! multiply the 6% by $8 then add it to the $8, now, multiply the 15% by the total of the cost with tax. then you all that to the total. ($9.75)
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3 years ago
Jem boy wants to make his 8-meter square pool into a rectangular one by increasing its length by 2m and decreasing its width by
butalik [34]
Side = 8m
He increases length by 2m and reduces width by 2m
(a.) New dimensions will be -
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 here we will use the special product (x+y) (x-y)
length = (x+y) and width = (x-y)
area = (8+2) x (8-2)
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3 0
3 years ago
3. For the following geometric sequence, determine a1 and r and find an explicit formula for the sequence: 2, -6, 18, -54…
Vilka [71]

Step-by-step explanation:

a1 is the first term.  In this case, 2.

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an = 2 (-3)ⁿ⁻¹

4 0
3 years ago
Whats the Diameter? I really need help understanding this
Arada [10]

Answer:

1.8 in.

Step-by-step explanation:

Hi there!

<u>1) Determine the radius of the base</u>

V=\frac{1}{3} \pi r^2h where r is the radius of the base and h is the height of the cone

Plug in the known values (h=4.2, V=3.6)

3.6=\frac{1}{3} \pi r^2(4.2)

Isolate r; divide both sides by 4.2

\frac{3.6}{4.2} =\frac{1}{3} \pi r^2\\\frac{6}{7} =\frac{1}{3} \pi r^2

Multiply both sides by 3

\frac{6}{7}*3 =\pi r^2\\\frac{18}{7}=\pi r^2

Divide both sides by π

\frac{18}{7\pi }=r^2

Take the square root of both sides

\sqrt{\frac{18}{7\pi }} =r

<u>2) Determine the diameter</u>

Now that we have the radius, to find the diameter, multiply r by 2:

d=\sqrt{\frac{18}{7\pi }}*2\\d=1.8

Therefore, the diameter is 1.8 in. when rounded to the nearest tenth.

I hope this helps!

3 0
3 years ago
Read 2 more answers
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