The measures of the sides of a triangle are 48, 55, and 72. Use the Pythagorean Theorem to classify
the triangle as acute, obtuse, or right. *
Acute
Obtuse
Right
None of the above

Answer: 4, 800

Step-by-step explanation:

Answer:

Cost of one bundle of shingles is $20 and cost of one roll of roofing paper is $110.

Step-by-step explanation:

Let the cost of each bundle of shingles = x

And cost of the roofing paper = y

Contractor buys 30 bundles of shingles and 4 rolls of roofing paper for $1040.

30x + 4y = 1040

15x + 2y = 520 -----(1)

In a second purchase contractor buys 12 bundles of shingles and 16 rolls of roofing paper for $2000

12x + 16y = 2000

3x + 4y = 500 --- (2)

Equation (1) multiplied by 2 then subtracted from equation (2)

(3x + 4y) - 2(15x + 2y) = 500 - 1040

(3x - 30x) + (4y - 4y) = -540

-27x = -540

x = 20

From equation (1)

15(20) + 2y = 520

300 + 2y = 520

2y = 220

y = 110

Therefore, cost of one bundle of shingles is $20 and cost of one roll of roofing paper is $110.

Answer:

2/1 of a family

Step-by-step explanation:

Answer:

0.8664 = 86.64% probability that the goal will be met.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Assume that the goal at Motorola is for the average defect rate to vary no more than 1.5 standard deviations above or below the mean of 3. How like is it that the goal will be met?

It should be within 1.5 standard deviations of the mean, which means that the probability is the pvalue of Z = 1.5 subtracted by the pvalue of Z = -1.5.

Z = 1.5 has a pvalue of 0.9332

Z = -1.5 has a pvalue of 0.0668

0.9332 - 0.0668 = 0.8664

0.8664 = 86.64% probability that the goal will be met.

? + 31° + 94° = 180°

? + 125° = 180°

? = 180° - 125°

? = 55°

Answer: 52°

Step-by-step explanation:

Angles in a triangle always add up to 180°.

So to work out what the missing angle is, you would have to add 34 and 94 together.

34+94=128

Then you would have to take 128 away from 180.

180-128=52°

Hope this helps :)

Answer:

Explanation:

f  (  − 3 )  basically means substitute  − 3  for  x  in the function  − 5 x

f

(

−

3

)

=

−

5

(

−

3

)

−

7

f

(

−

3

)

=

15

−

7

f

(

−

3

)

=8

Step-by-step explanation:

Answer:

1797631.4

Step-by-step explanation:

yeh

Answer:60 percent

Step-by-step explanation: You have fraction the two numbers which will be 12/20 them you times it by 100 which equals 60 oranges.

Answer:

x = 14

y = 18

Step-by-step explanation:

By the property of similar triangles,

If two triangles are similar their corresponding sides will be proportional.

[tex]\frac{AB}{EF}= \frac{AC}{GE}[/tex]

[tex]\frac{5}{10}=\frac{7}{x}[/tex]

x = [tex]\frac{70}{5}[/tex]

x = 14

Similarly, [tex]\frac{AB}{EF}= \frac{CB}{GF}[/tex]

[tex]\frac{5}{10}=\frac{9}{y}[/tex]

y = [tex]\frac{90}{5}[/tex]

y = 18

Answer:

90

Step-by-step explanation:

The average of a set of numbers is the sum of the numbers, divided by the count of the numbers.

Thus, the average of 85, 88 and 97 is

85 + 88 + 97

------------------- = 270/3, or 90

         3

Answer:

90

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

Answer:

the answer is the slope is -1/2

Answer:

Step-by-step explanation:

The triangles are similar.

x/(x+4) = 7.2/12

x/(x+4) = 0.6

x = 0.6(x+4)

0.4x + 2.4

x = 6

Answer:

if you pit the shape in a straight line it would be 180 degrees now take 180 take 130 and 100 and subtract those add that to the other 30 then take 180 divided by 60

Answer:

x = 50°

Step-by-step explanation:

sum of exterior angles is always equal to 360°

so, we can add all the given numbers and set them equal to 360° to find x:

130° + 30° + 100° + x° + x° = 360°

260° + 2x = 360°

2x = 100°

x = 50°

Answer:

7 is the answer

Step-by-step explanation:

Answer:

This equals 7

Step-by-step explanation:

I used a calculator

Can I have brainliest pls

Answer:

the answer is

x=22..........

Answer:

1,250 feet.

Step-by-step explanation:

1500-250=1250

Answer:

111

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

w = [tex]l + \frac{25 - l^{2}}{l - 5}[/tex]

(Anyone can correct me if I'm wrong)

Step-by-step explanation:

Before we start the solving, we can make the following statements:

Area = l x w

Area = 5x + 25

therefore,

l x w = 5x + 25

Since the question states that the length is x more than the width, so we can make the following statement:

w = l + x

With this, we can substitute it to the first statement we made, l x w = 5x + 25,

l x (l + x) = 5x + 25

[tex]l^{2}[/tex] + lx = 5x + 25

lx - 5x = 25 - [tex]l^{2}[/tex]

x(l - 5) = 25 - [tex]l^{2}[/tex]

x = [tex]\frac{25 - l^{2}}{l - 5}[/tex]

From this, we can find w by substituting it in the statement we made earlier, w = l + x,

w = [tex]l + \frac{25 - l^{2}}{l - 5}[/tex]

Answer:

5.42

Step-by-step explanation:

hope this helped!! :)

Answer:

m(JCA)

Step-by-step explanation:

C is the central angle here (the one in between)

so it will be m(JCA) or m(ACJ)

Answer:

you can use :

cos(X) = ( 5^2 + 6.9^2-5^2) / (2*5*6.9)

use caculator shift cos of this

Answer: x=25/5

Step-by-step explanation:

Answer:

x<5

Step-by-step explanation:

add 3 to both sides to get 5x alone

so 5x<25, divide by 5 to get x alone

Answer:

2.0986814e+29

Step-by-step explanation:

Answer:

what

Step-by-step explanation:

punch your calculator to find out

even the calculator might not give u the exact value

Answer:

(g o f)(5) = 47

Step-by-step explanation:

We are given a composite function:

g(x) = 4x + 3

f(x) = 3x - 4

We are supposed to find (g o f)(5), which really means g( f(x) ). So, we put the function of f(x) for every x in g(x), like this:

g(x) = 4x + 3

g( f(x) ) = 4(3x - 4) + 3

g( f(x) ) = 12x - 16 + 3

g( f(x) ) = 12x - 13

Now, we also need to evaluate for x = 5, like this:

g( f(5) ) = 12(5) - 13

g( f(5) ) = 47

Answer:

Step-by-step explanation:

19). Angles measuring 90° and (21x + 6)° are Alternate exterior angles.

     Therefore, 21x + 6 = 90

     2x = 90 - 6

     2x = 84

      x = 42

21). Angles measuring 60° and (8x - 4)° are Alternate interior angles,

      8x - 4 = 60

      8x = 60 + 4

      x = [tex]\frac{64}{8}[/tex]

      x = 8

23). Since, angles measuring (-1 + 14x)° and (12x + 17)° are Alternate exterior angles

    Therefore, (-1 + 14x) = (12x + 17)

     14x - 12x = 17 + 1

     2x = 18

      x = 9

25). Both the angles (x + 96)° and (x + 96)° are consecutive interior angles.

      Therefore, (x + 96)° + (x + 96)° = 180° [Property of consecutive interior angles]

      2x + 192 = 180

      2x = 180 - 192

      2x = -12

       x = -6

       Now measure of (x + 96)° = -6 + 96

                                                = 90°

26). Both the angles (20x + 5)° and (24x - 1)° are consecutive interior angles.

      Therefore, (20x + 5)° + (24x - 1)° = 180°

       44x + 4 = 180

       44x = 176

        x = 4

Answer:

63

Step-by-step explanation:

To find the area of a trapezoid you have to use the formula

a+b/2 h

So we would substitute them

3 + 15 / 2 x 7

Which would equal

63

Hope this helps :)