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Snezhnost [94]
2 years ago
8

Find the number that makes the ratio equivalent to 9:4. 72:

Mathematics
1 answer:
77julia77 [94]2 years ago
6 0
The answer would be 72:32
Because 9 x 8= 72 and 4 x 8 is 32
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447,077 is what more than 347,077
Natalka [10]
I believe that the answer is 100,000
7 0
3 years ago
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A pole, 4m high, stands, vertically, on
Lostsunrise [7]

Answer:

Length of the shadow of the pole is 6.93 metres

Step-by-step explanation:

Given:

Height of the pole = 4 m

The angle sun makes with the horizontal = 30 degrees

To Find:

Length of the shadow of the pole = ?

Solution:

The tangent ratio is the value received when the length of the side opposite of angle theta is divided by the length of the side adjacent to angle theta

Let x be the length of the shadow

According to the tangent ratio

tan {\theta} = \frac{opposite}{adjacent}

On substituting the values,

ta( {30^{o}) = \frac{4}{x}

x  = \frac{4}{tan ({30^{o})}}

x =\frac{4}{0.57735027}

x  = 6.93 m

6 0
3 years ago
Y−3=2(x+1) solve this
Elena-2011 [213]

Answer:

Y-3 = 2(x+1)

open the brackets

Y-3 = 2x+2

Y = 2x+5..... this is the answer when solving for Y

if were solving for x:

Y-3 = 2x+5

Y-8 = 2x

\frac{y}{2} -4 = x

8 0
3 years ago
Use the confidence level and sample data to find a confidence interval for estimating the population μ. Round your answer to the
Levart [38]

Answer: Choice A.)   88.2 < μ < 93.0

=============================================================

Explanation:

We have this given info:

  • n = 92 = sample size
  • xbar = 90.6 = sample mean
  • sigma = 8.9 = population standard deviation
  • C = 99% = confidence level

Because n > 30 and because we know sigma, this allows us to use the Z distribution (aka standard normal distribution).

At 99% confidence, the z critical value is roughly z = 2.576; use a reference sheet, table, or calculator to determine this.

The lower bound of the confidence interval (L) is roughly

L = xbar - z*sigma/sqrt(n)

L = 90.6 - 2.576*8.9/sqrt(92)

L = 88.209757568781

L = 88.2

The upper bound (U) of this confidence interval is roughly

U = xbar + z*sigma/sqrt(n)

U = 90.6 + 2.576*8.9/sqrt(92)

U = 92.990242431219

U = 93.0

Therefore, the confidence interval in the format (L, U) is approximately (88.2, 93.0)

When converted to L < μ < U format, then we get approximately 88.2 < μ < 93.0 which shows that the final answer is choice A.

We're 99% confident that the population mean mu is somewhere between 88.2 and 93.0

7 0
3 years ago
A swimming pool is 22 feet long and 18 feet wide. How many feet of fencing are needed to enclose the pool
alexira [117]

Answer:

80 feet

Step-by-step explanation:

length of pool = 22    ,  width of pool = 18

feet required for fencing the pool = 2 (l +b)

= 2 ( 22+18)

=2*40

=80feet

8 0
3 years ago
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