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prohojiy [21]
3 years ago
6

The complement of an angle is 59°. What is the measure of the angle?

Mathematics
1 answer:
GrogVix [38]3 years ago
8 0
Complementary angles add up to 90 degrees. The complement of 59 degrees would be 31 degrees, since 31 + 59 = 90.
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Ethan rode 25.65 kilometers on Saturday and 14.23 kilometers on Sunday. About how far did Ethan ride during the two days?
vazorg [7]
So for this problem we are looking for a sum (total). So first we are going to round 25.65 to 25.7 and round 14.23 to 14.2

Now we are going to add 25.7 and 14.2 to get a total of 39.9

Ethan rode 39.9 kilometers.
3 0
3 years ago
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Suppose that the perimeter a rectangle is 54 feet, and the length is 13 feet more than the width. Find the width ractangle, in f
Vesnalui [34]

Answer:7feet

Step-by-step explanation:

perimeter(p)=54ft

Width(w) +13=Length(L)

Perimeter=2xLength+2xwidth

P=2xL+2xw

L=w+13

54=2(w+13)+2w

54=2w+26+2w

Collect like terms

54-26=2w+2w

28=4w

Divide both sides by 4

28/4=4w/4

7=w

Width =7feet

8 0
4 years ago
13
zepelin [54]

Answer:

The required equation is: \mathbf{f(x)=\frac{3}{4}x-\frac{29}{4}}

Step-by-step explanation:

We need to find equation from the table given

x     f(x)

3     -5

7     -2

11     1

15    4

We can write equation in the form of y=mx+b

where m is slope and b is y-intercept.

Finding Slope

We can used the slope formula to find slope: Slope=\frac{y_2-y_1}{x_2-x_1}

From the table we have: x_1=3, y_1=-5, x_2=7, y_2=-2

Putting values and finding slope

Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-2-(-5)}{7-3} \\Slope=\frac{-2+5}{7-3}\\Slope=\frac{3}{4}

So, we get slope m=\frac{3}{4}

Now, finding y-intercept

Using the slope m=\frac{3}{4} and point (3,-5) we can find y-intercept

y=mx+b\\-5=\frac{3}{4}(3)+b\\-5=\frac{9}{4}+b\\b=-5-\frac{9}{4}\\b=\frac{-5*4-9}{4}\\b=\frac{-20-9}{4}\\b=\frac{-29}{4}

The y-intercept is b=\frac{-29}{4}

So, the equation having slope m=\frac{3}{4} and y-intercept b=\frac{-29}{4} will be:

y=mx+b\\y=\frac{3}{4}x-\frac{29}{4}

The required equation is: \mathbf{f(x)=\frac{3}{4}x-\frac{29}{4}}

6 0
3 years ago
Find the sum of the first 47 terms of the following series, to the nearest integer.<br> 9,18,27,...
luda_lava [24]
18 is the answer hood this will help you
9 0
3 years ago
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A high school baseball player has a 0.215 batting average. In one game, he gets 7 at bats. What is the probability he will get a
masya89 [10]

Answer:

0.651%

Step-by-step explanation:

using Binomial expansion: nCr*p^n*(1-p)^(n-r)

probability he will get at least 5 hits in the game = probability he will get  5 hits in the game + probability he will get 6 hits in the game + probability he will get  7 hits in the game = 7C5*0.215^5*(1-0.215)^2 + 7C6*0.215^6*(1-0.215)^1 +7C7*0.215^7*(1-0.215)^0 = 21* 0.0004594*0.616225  +  7*0.00009877*0.785  +  1*0.000021235  = 0.00651 = 0.651%

7 0
3 years ago
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