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Julli [10]
3 years ago
8

The perimeter of a rectangular painting is 310 centimeters. If the width of the painting is 56 centim

Mathematics
2 answers:
gtnhenbr [62]3 years ago
7 0

Answer:

The length is 99 cm

Step-by-step explanation:

The perimeter of a rectangle is

P = 2 (l+w)

310 = 2( l+56)

Divide each side by 2

310/2 = 2/2( l+56)

155 = l+56

Subtract 56

155-56 = l+56-56

99 = l

stiv31 [10]3 years ago
5 0

Answer:

99 centimeters

Step-by-step explanation:

Use formula for perimeter of a rectangle.

P = 2l + 2w

310 = 2l + 2(56)

Solve for l.

310 - 2(56) = 2l

310 - 112 = 2l

198 = 2l

99 = l

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What’s the answer to the question mark
melamori03 [73]

The missing number is 20

<h3>How to determine the number</h3>

We can see that the values at the top must be made equal to that at the bottom

For the top, we have

30 + 11 = 41

For the bottom, we should have:

21 + x = 41

Now, let's solve for 'x' to determine the missing figure;

21 + x = 41

collect like terms

x = 41 - 21

x = 20

Thus, the missing number is 20

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6 0
2 years ago
Find the 5th (not fourth) of given geometric sequence. 2000, 1000, 500,...
Greeley [361]

Answer:

125

Step-by-step explanation:

To find the common ratio, take the second term and divide by the first term

1000/2000 = 1/2

We multiply each term by 1/2

2000, 1000, 500

To find the next term 500*1/2 = 500/2 = 250

To find the 5th term

250*1/2 = 125

8 0
3 years ago
Find an equation of the line satisfying the given conditions Through (6,4); perpendicular to 3X + 5Y =38
Katyanochek1 [597]
To answer this, we will need to know:

• The slope of the equation we are trying to get
• The point it passes through using the 

First, we will need to find the slope of this equation. To find this, we must simplify the equation 3x+5y=38 into y=mx+b form. Lets do it!

3x+5y=38
= 5y = -3x+38 (Subtract 3x from both sides)
= y= -\frac{3}{5}x+ \frac{38}{5} (Divide both sides by 5) 

The slope of a line perpendicular would have to multiply with the equation we just changed to equal -1. In other words, it would have to equal the negative reciprocal.

The negative reciprocal of the line given is \frac{5}{3}. 

Now that we know the slope, we have to find out the rest of the equation using the slope formula, which is:

\frac{y-y _{1} }{x- x_{1} }=m

Substituting values, we find that:

\frac{y-4}{x-6}= \frac{5}{3}

By simplifying this equation to slope-intercept form (By cross-multiplying then simplifying), we then get that: 

y= \frac{5}{3}x-6 , which is our final answer.

Thank you, and I wish you luck.
8 0
3 years ago
Read 2 more answers
Suppose you obtained a Spearman rs of 0.53 from a sample of 13 pairs of scores. For a two-tailed test, such a correlation coeffi
Anastasy [175]

Answer:

C: p < 0.01

Step-by-step explanation:

We are given;

Spearman rank Correlation Coefficient: rs = 0.53

sample size: n = 13 pairs

Now, from the table attached, tracing n = 13 and locating a corresponding value of rs = 0.53 which falls in between 0.484 and 0.56. Thus, we can see that p is greater than the nominal significance value of 0.05 but less than 0.01.

Thus, correct answer is p < 0.01

3 0
3 years ago
Jacob is going on a vacation to Australia. His flight leaves at 1:15 P.M. It takes 1 hour to get to the airport, and Jacob wants
____ [38]

Answer:

The latest time is 12:00

Step-by-step explanation:

take an hour away for 1:15 which is gonna be 12:15 then take the 15 minutes away and you get 12:00

8 0
3 years ago
Read 2 more answers
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