A parallelogram has a height of 3.5 feet and a base measurement of 12 feet. What is the area of a triangle that has the same height and base measurement?
42 ft2
28 ft?
O2112
15.5 ft2

Answer:

313,920 boxes

Step-by-step explanation:

that good

The number of boxes Graphic Design Works is able to store is 314182 boxes.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Given that, Graphic Design Works ships the T-shirts it makes in boxes that measure 22 in × 20 in × 20 in.

Here, the volume of box = 22×20×20

= 8800 cubic inches

The company rents a storage space that measures 200 ft × 200 ft × 40 ft

Here, 200 ft = 2400 inches, 40 ft = 480 inches

Volume of a storage space

= 2400×2400×480

= 2764800000 cubic inches

Here, the number boxes = 2764800000/8800

= 314181.8

≈ 314182

Therefore, the number of boxes Graphic Design Works is able to store is 314182 boxes.

To learn more about the volume visit:

https://brainly.com/question/13338592.

#SPJ7

Answer:

D. 64º and 90º

Step-by-step explanation:

All triangles' angles add up to 180º.

A right triangle must have an angle that is 90º and it gives you that one is 26º so all you have to do is add those together and subtract that from 180º to find the last angle.

180 - (90 + 26) = 64º

So the two other angles of the triangle would be 90º and 64º.

Answer:

0.1662 = 16.62% probability that exactly 2 will stay with the same company for more than five years

Step-by-step explanation:

For each graduate, there are only two possible outcomes. Either they stay for the same company for more than five years, or they do not. Graduates are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Eight percent of all college graduates hired by companies stay with the same company for more than five years.

This means that [tex]p = 0.08[/tex]

Sample of 11 college graduates:

This means that [tex]n = 11[/tex]

The probability, rounded to four decimal places, that in a random sample of 11 such college graduates hired recently by companies, exactly 2 will stay with the same company for more than five years is: the absolute tolerance is +-0.0001

The tolerance means that the answer is rounded to four decimal places.

The probability is P(X = 2). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{11,2}.(0.08)^{2}.(0.92)^{11} = 0.1662[/tex]

0.1662 = 16.62% probability that exactly 2 will stay with the same company for more than five years

Answer: 47/363

(Decimal: 0.129477)

Answer:

m = 1

Step-by-step explanation:

(2,1) and (8,7)

m = (y2-y1)/(x2-x1)

m=(7-1)/(8-2)

m=6/6

m = 1

1064 x

19

________

20216 legos

Sharon has 20216 legos

Answer:

130

Step-by-step explanation:

2(4x - 3) + 6(3y - 5)

2(4 × 5 - 3) + 6(3 × 7 - 5)

2(20 - 3) + 6(21 - 5)

2(17) + 6(16)

34 + 96

130

Answer:

The answer would be 130

Step-by-step explanation:

First, substitute the variable values into the equation.

2(4(5)-3) + 6(3(7)-5)

Next, solve for the inside parentheses.

2(20-3) + 6(21-5)

Now solve the parentheses again.

2(17) + 6(16)

Then multiply the numbers.

34 + 96

Finally add the last two numbers together to get your answer of 130.

Hope this helped!

Answer:

756 cm

i hope this helps

Answer:

yes

Step-by-step explanation:

Sugar and water amounts used change proportionately.

Answer:

[0, -7, 1]

[0, 3, 4]

Answer:

x/300=24/100

Step-by-step explanation:

24/100 is the same as 24% and by cross multiplying you can find 24% of 300

Answer:

24 percent just means "24 for every hundred"  300 is literally three hundreds, so 24 percent of it three 24s, or 72.

Answer:

-32

Step-by-step explanation:

-1/4a-5=5-2

add 5 to both sides to cancel the negative five on the left side.

-1/4a-5+5=5-2+5

-1/4a=8

multiply the equation by -4 to get the a just by itself

-4(-1/4)a=8(-4)

a=-32

Hope that helps :)

Answer:

14) ∠CBE = 118°  supplementary to 62°

15) ∠ABF = 28°  complementary to 62°

16 ∠CBA = 152° because it is vertical to ∠DBF

Step-by-step explanation:

14) ∠CBE = 180° - 62° = 118°

15) ∠ABF = 90° - 62° = 28°

16) ∠DBF = 90°+ 62° = 152°

    ∠CBA = ∠DBF

Answer:

Five hundred six million, three hundred forty-one thousand, two hundred nine and fifty four hundredths.

Step-by-step explanation:

506, => Five hundred six million,

341, => three hundred forty-one thousand,

209 => two hundred nine

.54 => and fifty four hundredths.

This is how you would write it.

Hope it helps!

Answer: D. Zero

Step-by-step explanation:

It’s a flat line. Flat horizontal lines are ALWAYS zero

Answer:

7

Step-by-step explanation:

You have to multiply all of them with 8

Answer:

2km

Step-by-step explanation:

400*5=2000m

2000/1000=2km

Answer:(-3,-8),(-6,4),(1,-1)

Step-by-step explanation:

Given

Vertices of the triangle are

[tex]P(-3,8), Q(-6,-4),R(1,1)[/tex]

Coordinates (a,b) when reflected about x-axis is given as (a,-b) i.e. Y coordinate changes its sign

[tex]\therefore P\rightarrow P'(-3,-8)\\\Rightarrow Q\rightarrow Q'(-6,4)\\\Rightarrow R\rightarrow R'(1,-1)[/tex]

Answer:

linear

Step-by-step explanation:

Answer:

Step-by-step explanation:

44+9x+18+5x+20=180

14x+82=180

14x=180-82=98

x=98/14=7

other angles are

9x+18=9×7+18=81°

and 5x+20=5×7+20=55°

so angles are 44°,55°,81°

so smallest angle=44°

Answer:

cross ❌ multiply

6x-1=2

6x=2+1

6x=3

divide both sides by 6

x=1/2

Answer:

the slope of the line is: 0

Step-by-step explanation:

4-4=0

-2-5= 3

Answer:

y = 5      

Step-by-step explanation:

Any line with a slope of 0 is horizontal, represented by the equation y = a number. That number is the y-value of all the points the line intersects.

We know that that the line intersects (9,5). So, take the y-value of that point and write it into the equation of y = a number. Thus, the answer is y =5.

Answer:

85.625 is the answer

Step-by-step explanation:

or, 85 whole 5/675

Given:

Width of the rectangular yard = x feet

Length of the rectangular yard = x+4 feet

Perimeter of the rectangular yard is:

[tex]P=4x+8[/tex]

Perimeter of the yard = 84 feet

To find:

The length of the rectangular yard.

Solution:

Perimeter of the yard is 84 feet.

[tex]4x+8=84[/tex]

[tex]4x=84-8[/tex]

[tex]4x=76[/tex]

Divide both sides by 4.

[tex]x=\dfrac{76}{4}[/tex]

[tex]x=19[/tex]

So, the width of the rectangular yard is 19 feet.

Length = [tex]19+4[/tex]

Length = [tex]23[/tex]

The length of the rectangular field is 23 feet.

Therefore, the correct option is B.