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Juli2301 [7.4K]
3 years ago
10

What is r/32=5/8=30/t

Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
8 0

Step-by-step explanation:

\frac{r}{32}  = \frac{5}{8} =\frac{30}{t}  \\   \\  \therefore \:  \frac{r}{32} = \frac{5}{8} \\  \\  \therefore \:  r =  \frac{32 \times 5}{8} \\  \\\therefore \:  r = 4 \times 5\\  \\ \huge \orange{ \boxed{\therefore \:  r = 20}} \\  \\ \frac{5}{8} =\frac{30}{t}  \\  \\ \therefore \: t =  \frac{8 \times 30}{5} \\  \\ \therefore \: t =  8 \times 6 \\  \\ \huge \purple{ \boxed{ \therefore \: t =  48}}

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Write the next whole number after 6748nine in the base-nine system.
ale4655 [162]

Answer:

Step-by-step explanation:

6748_9 = 6 *(9^3) + 7 * 9^2 + 4 * 9^1 + 8 * 9 ^ 0 = 4994_{10}

Hence, on base 10, the next whole number is 4995 and if we convert back to base 9, we will have

6* 9^3 + 7*9^2 + 5*9*1 = 4374 + 576+45 = 4995_{10}

Therefore, the number on base 9 will be 6750

7 0
3 years ago
Which equation has a slope of –3/2 and a y-intercept of 5?
Natasha_Volkova [10]
I’m not sure what you’re options are but an equation in Y=mx+b form for this would be y= -3/2x + 5

M is always the slope
B is always the y intercept
7 0
3 years ago
A circle has a diameter of 29 feet. What is the area? *
11111nata11111 [884]

Answer:

The answer is

<h2>660.5 square feet</h2>

Step-by-step explanation:

Area of a circle = πr²

where r is the radius

From the question

diameter = 29 feet

To find the radius given the diameter we use the formula

radius =  \frac{diameter}{2}  \\ radius  =  \frac{29}{2}  \\  = 14.5 \:  \: feet

So the area of the circle is

A =  {14.5}^{2} \pi \\  = 210.25\pi \\  = 660.519...

We have the final answer as

<h3>660.5 square feet</h3>

Hope this helps you

7 0
3 years ago
Please answer quick!!​
vesna_86 [32]
Are those X’s or K’s
6 0
2 years ago
Read 2 more answers
#12 with explanation please
4vir4ik [10]

Answer:

  • 30.01 units

Step-by-step explanation:

<u>Given vertices WXYZ:</u>

  • W(-4,5), X(2,4), Y(3, -4), Z(-1, -6)

Perimeter is the sum of the side length.

<u>Use distance formula to find each side:</u>

  • WX = \sqrt{(2+4)^2+(4-5)^2} =\sqrt{37} ≈ 6.08
  • XY = \sqrt{(3-2)^2+(-4-4)^2} =\sqrt{65} ≈ 8.06
  • YZ = \sqrt{(-1-3)^2+(-6+4)^2} =\sqrt{20} ≈ 4.47
  • WZ = \sqrt{(-1+4)^2+(-6-5)^2} =\sqrt{130}\sqrt{(-1+4)^2+(-6-5)^2}=\sqrt{130} ≈ 11.40

<u>Find perimeter:</u>

  • P = 6.08 + 8.06 + 4.47 + 11.40 = 30.01 units
7 0
3 years ago
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