A rectangular pyramid with a base of 9 units by 4 units and a height of 7 units.
Which is the correct calculation for the volume of the pyramid?
One-third(36)(7)= 84 units3
One-half(36)(7) = 126 units3
36(7) = 252 units3
36(7)(3) = 756 units3

Answer:

x is 13°.take the triangle to find the measure of x.180° -(85°+82°)=x

180°-167°=13°

For the given triangle the measure of the angle x is = 3 degrees.

Labeling the given figure,

since angle C and angle B are alternate angles

Therefore,

For the triangle ABE

The interior angle for A = x

The interior angle for B = 180 -98

                                       = 92 degree

Since we know that,

The sum of the two interior angles of a triangle is equal to the exterior angle of the opposite side.

Therefore,

⇒ x  + 92 = 180 - 85

⇒ x  = 3 degrees.

Hence,

The measure of the angle x is = 3 degrees.

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9514 1404 393

Answer:

Step-by-step explanation:

The angle shown is 75°. It is less than 90°, so is an acute angle. (The diagram is misleading in that respect.)

__

The two marked angles are vertical angles, so have the same measure.

  3x° = 75°

  x = 25 . . . . . . . . divide both sides by 3°

9514 1404 393

Answer:

  60 gallons

Step-by-step explanation:

The area of the trapezoid-shaped wall is given by ...

  A = 1/2(b1 +b2)h

where b1 and b2 are the lengths of the parallel sides, and h is the perpendicular distance between them.

The area of the wall is ...

  A = (1/2)(5 ft + 15 ft)(6 ft) = 60 ft²

If it takes 1 gallon to cover 1 square foot, then it will take 60 gallons to cover 60 square feet.

Isha needs 60 gallons of paint.

Answer:

Isha needs 60 gallons of paints to the wall.

Step-by-step explanation:

The area of trapezoid shaped like wall is given by :-

Area of trapezoid = 1/2 × ( Base ¹ + Base ² ) × H

Where,

B ¹ and B ² are the length of bases and H is the perpendicular distance between them.

Area of wall = 1/2 × ( Base¹ + Base²) × Height

Where, according to question we have

substitute the values

Area = 1/2 × ( 5 ft + 15 ft ) × 6 ft

add the values of Base¹ and Base ²

Area = 1/2 × 20 ft × 6 ft

multiply

Area = 1 / 2 × 120 ft ²

divide

Area = 120 ft ² / 2 = 60 ft ²

It takes 1 gallon to cover 1 ft ². ... ( given)

So, For covering 60 ft ² it takes 60 gallons .

check

( 1 × 60 ) gallon = 60 ft ²

60 gallon = 60 ft²

Answer:

0.2514 = 25.14% of women have HDL below 45 mg/dl or less.

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.

Mean HDL cholesterol levels of 55mg/dl with a standard deviation of 15 mg/dl.

This means that [tex]\mu = 55, \sigma = 15[/tex]

What proportion of women have HDL below 45 mg/dl or less?

This is the p-value of Z when X = 45. So

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

[tex]Z = \frac{45 - 55}{15}[/tex]

[tex]Z = -0.67[/tex]

[tex]Z = -0.67[/tex] has a p-value of 0.2514

0.2514 = 25.14% of women have HDL below 45 mg/dl or less.

Answer:

a. Photographer A by $10

b. Photographer B by $25

Answer:

C

Step-by-step explanation:

I've completed the test before. :)

Answer:

The center (-3, 0)

9514 1404 393

Answer:

Step-by-step explanation:

The desired parameters can be found by putting the equation into the standard form for the equation of a circle:

  (x -h)^2 +(y -k)^2 = r^2 . . . . . circle centered at (h, k) with radius r

The values of h and k will be half the coefficients of the linear x- and y-terms, respectively.

  x^2 +6x +9 +y^2 -7 = 9 . . . . . add 9 to complete the square

  (x +3)^2 +y^2 = 16 . . . . . . . . . add 7 to get the desired form

This equation shows us (h, k) = (-3, 0) and r = 4.

The center is (-3, 0), and the radius is 4.

Answer:

d. static

Step-by-step explanation:

This is a question about Java programming.

A class contains information about it's members(objects). Private, public or inline variables must be related to an object, that is, an object has to be created before the variable is acessed.

Static variables, otherwise, may pertain to the class, and not to the object, that is, and thus, the correct answer is given by option d.

Answer:   876

Step-by-step explanation:so all you need to do is go into  

Answer:

only 3) is true. EC is equidistant (the same distance) to BD

Step-by-step explanation:

since we have no coordinates or other specific distance information for the various points and lines, we can only confirm statements that must be true for any placement of the lines inside a circle with the described attributes.

the distance EC could be the same as CB, but if we move ED further up or down in the circle (still parallel to CB), we can easily see, that this is not a general case.

the same for CB and BD.

since CB and BD are airways parallel to each other, the symmetry principle of a circle requires that the distance of EC is airways equal to the distance of BD for all such possible pairs of parallel lines inside the circle.

the graph itself gives an example that the distance CB and the distance ED do not have to be the same. they can be for certain pairs of parallel lines in the circle, but not for all of them.

9514 1404 393

Answer:

  9 +7i

Step-by-step explanation:

i^2 = -1, so i^8 = (-1)^4 = 1, and i^5 = (-1)^2×i = i

Then ...

  7i^5 +9i^8 = 7i +9 = 9 +7i

Answer:

0.44117647058824

15/34 as a decimal is 0.44117647058824.

Answer:

0,4411764706

Step-by-step explanation:

15/34=0,4411764706

Answer:

A is the closest

9514 1404 393

Answer:

  (9/34)√34 ≈ 1.543

Step-by-step explanation:

The second equation can be rewritten as ...

  6x -10y -12 = 0

  3x -5y -6 = 0

  3x -5y = 6

__

The formula for the distance from point (x, y) to line ax+by+c=0 is ...

  d = |ax+by+c|/√(a²+b²)

Then the distance from a point to the first line is ...

  d = |3x -5y +3|/√(3² +(-5)²)

We know from the rearrangement of the second equation that points on its line satisfy (3x-5y) = 6. Substituting this value for (3x -5y) in the distance formula gives ...

  d = |6 +3|/√34

Simplifying and rationalizing the denominator gives a distance of ...

  d = (9/34)√34 ≈ 1.543

Answer:

y = 48

Step-by-step explanation:

Start with the given 3y = 150.

Solve this for y by dividing both sides by 3:  y = 50

Then y - 2 = 50 - 2, or

        y    =    48

The value of y-2 is 48,

Two expressions connected by an equal sign makes an equation.

Given is an equation, 3y = 150

Solving for y,

3y = 150

y = 150 / 3

y = 50

therefore, y-2 = 50-2

= 48

Hence, the value of y-2 is 48,

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Answer:

35%

Step-by-step explanation:

What was the numerical difference?

88722 - 65720 = 23002

Which number is the denominator for the % increase?

It must be 65720.

23002/ 65720  * 100 = 35%

So if we take 35% of 65720 and add it on  to 65720 what do we get.

35/100 * 65720 + 65720 = 88722 just as we should.

Answer:

the answer to this is 10 i think sorry if it is wrong

Step-by-step explanation:

The triangles are similar and the measure of BC = 60/7 units

If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.

Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides

Given data ,

Let the first triangle be ΔABC

Let the second triangle be ΔADE

Now , ΔABC and ΔADE are similar triangles

where corresponding sides of similar triangles are in the same ratio

So , AD / AB = DE / BC

On simplifying , we get

7 / 10 = 6 / BC

Multiply by BC on both sides , we get

BC ( 7/10 ) = 6

Multiply by 10 on both sides , we get

7BC = 60

Divide by 7 on both sides , we get

BC = 60/7

Hence , the measure of BC = 60/7 units

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Answer:

-1  1/4 yards

Step-by-step explanation:

7 carries

-8.75 yards  total yardage

    -.8.75 / 7  =  -1.25 yards average per carry

In mixed number ?    -1  1/4 yards          

Answer:

See below.

Step-by-step explanation:

Alternate Interior Angles - 1

Alternate Exterior Angles - 2

Corresponding Angles - 4

Same-side Exterior Angles - 5

Same-side Interior Angles - 3

Answer:38292

A

Step-by-step explanation:w

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Answer:

did, the jackles howled loudly in the forest ?

Answer:

x = 9

y = 9

Step-by-step explanation:

Given :

Let :

Kenyan French roast coffee = x

Cost per x = $8

Sumatran Coffee = y

Cost per y = $10

x + y = 18 - - - - (1)

8x + 10y = 9 * 18 ;

8x + 10y = 162 - - - - (2)

From (1):

x = 18 - y

Put x = 18 - y in (2)

8(18 - y) + 10y = 162

144 - 8y + 10y = 162

2y = 162 - 144

2y = 18

y = 9

x = 18 - y

x = 18 - 9

x = 9

Given:

The y-intercept of a line = 6

The slope of the line = [tex]-\dfrac{3}{2}[/tex]

To find:

The graph of the given line.

Solution:

The slope intercept form of a line is:

[tex]y=mx+b[/tex]

Where, m is the slope and b is the y-intercept.

Putting [tex]m=-\dfrac{3}{2}[/tex] and [tex]b=6[/tex] in the above equation, we get

[tex]y=-\dfrac{3}{2}x+6[/tex]

At [tex]x=0[/tex],

[tex]y=-\dfrac{3}{2}(0)+6[/tex]

[tex]y=0+6[/tex]

[tex]y=6[/tex]

At [tex]x=2[/tex],

[tex]y=-\dfrac{3}{2}(2)+6[/tex]

[tex]y=-3+6[/tex]

[tex]y=3[/tex]

Plot these two points (0,6) and (2,3) on a coordinate plane and connect them by a straight line to get the graph of the required line.

The required graph is shown below.

Answer:

tn = 8n -7

Step-by-step explanation:

given : t2=9, t4=25

the formula is:

tn = t1 + (n-1) d

gonna find d first:

d = (25-9) /(4-2) = 16/2 = 8

and find tn1:

t1 = 9-8 = 1

so, tn = 1 + (n-1) (8) = 1 +8n -8

tn = 8n -7

Answer:

Solution given

n th term[tn]=?

1st term =a

difference =d

we have

t2=9

a+(n-1)d=9

a+(2-1)d=9

a+d=9

a=9-d..................[1]

again

t4=25

a+(n-1)d=25

a+(4-1)d=25

now

substituting value of a

9-d+3d=25

2d=25-9

d=16/2

d=8

substituting value of d in equation 1.

,a=9-8

a=1

we have

tn term =a+(n-1)d=1+(n-1)8=1+8n-8=8n-7

n th term =8n-7

Answer:

The answer is 220 cubic inches.

Step-by-step explanation:

To find the volume of the rectangular prism, use the formula for a rectangular prism, which is V= LWH. Next, plug in the information given from the question, and the formula will look like V= (10in) ([tex]5\frac{1}{2}[/tex] in) (4in).

Then, solve the equation for the answer, and the answer for the volume of the rectangular prism is 220 cubic inches.

Answer:

The correlation coefficient of the data is -0.13, which means as the weekly mileage increases, it has no effect on the average mile time.Step-by-step explanation:

The correlation coefficient of a data set describes how closely related two variables are. Correlation coefficients close to positive 1 show a strong positive correlation, while correlation coefficients close to negative 1 show a strong negative correlation. When a correlation coefficient is close to 0, it shows no correlation between the data.

For the given data set, calculate the correlation coefficient using technology.

This r-value is closer to 0 then it is to -1. Thus, the correlation coefficient of the data is -0.13, which means as the weekly mileage increases, it has no effect on the average mile time.

Answer:

The correlation coefficient of the data is -0.13, which means as the weekly mileage increases, it has no effect on the average mile time.Step-by-step explanation:

The correlation coefficient of a data set describes how closely related two variables are. Correlation coefficients close to positive 1 show a strong positive correlation, while correlation coefficients close to negative 1 show a strong negative correlation. When a correlation coefficient is close to 0, it shows no correlation between the data.

For the given data set, calculate the correlation coefficient using technology.

This r-value is closer to 0 then it is to -1. Thus, the correlation coefficient of the data is -0.13, which means as the weekly mileage increases, it has no effect on the average mile time.

Answer:

Step-by-step explanation:

The angles opposite each other when two lines cross. They are always equal.

here,vertically opposite angles are

angle RQW and angle TQU

angle RQV ang angle SQU

angle SQR and angle UQV

angle WQV and angle SQT

Answer:

I JUST DID IT ITS 5.

Answer:

5

Step-by-step explanation: