The angles in a pentagon are in a ratio of 7:6:5:5:4. find the measure of the smallest angle

Cloud [144]

Answer:160 B.

Step-by-step explanation: first you seperate the two rectangles. then find volume of both by multipling lenngh times with times height then add both of your volumes.

8 0

3 years ago

A survey found that women's heights are normally distributed with mean 63.3 in. and standard deviation 2.7 in. The survey also

mylen [45]

Answer:

A) There is a 100% chance of meeting the height requirement for women.

B) There is a 99.89% chance of meeting the height requirement for men.

C) New height requirements are:

71.9 inches for men and 58.9 inches minimum for women.

At least 58.9 inches and at most 71.9 inches.

Step-by-step explanation:

This question involves finding z values which tell us the percentage from 0 to x.

z = (x-μ)/σ

A) In this question, the minimum sample point is 4 ft 9 inches or converting to inches, we have;(4*12) + 9 =57 inches.

The maximum sample point is 6 ft 4 inches which in inches gives; (6*12) + 4 = 76 inches

For the minimum point;

z = (57 - 63.3)/2.7 = -2.33

From the z-distribution table, this equates to 0.0099.

The maximum;

z = (76 - 63.3)/2.7 = 4.70

From the z-table, it gives 0.999.. Basically 100%.

So there is a 100% chance of meeting the height requirement for women.

B) For men;

the minimum z = (57 - 67.3)/2.8 = -3.68 which gives 0.00012 from the z-distribution table.

The maximum;

z = (76 - 67.3)/2.8 = 3.07 which gives 0.9989 from the z-distribution table. Basically, 99.89%.

So there is a 99.89% chance of meeting the height requirement for men.

C) To exclude the tallest 5% of men, we need to find the z-value for 0.95 and then solve for x.

Thus from the z-table, z = 1.65. So;

1.645 = (x - 67.3)/2.8

4.606 = x - 67.3

x = 67.3 + 4.606

x ≈ 71.9 inches for men.

So, Current minimum is okay.

To exclude the shortest 5% of women, we need to find the z for 0.05.

From the z-distribution table, it has a value of -1.645. So;

-1.645 = (x - 63.3)/2.7

-4.4415 = x - 63.3

x = 63.3 - 4.4415

x ≈ 58.9 inches minimum.

So, Current maximum is okay.

5 0

3 years ago

Bakery rolls are being prepared to go to grocery stores. Divide 72 rolls into 2 groups so the ratio is 3 to 5.

kirza4 [7]

45 rolls are in a group and 27 rolls are in the other group

5 0

3 years ago

An architecture firm creates blueprints for office buildings. Last week, they produced four rectangular blueprints for four diff

Readme [11.4K]

Answer:

The order from greatest to least :

Project B > Project A > Project D > Project C

Step-by-step explanation:

Project A : A 20-inch by 15-inch blueprint with a scale of 1 inch to 4 feet and a projected cost of $22,000.

Scale factor = $\frac{1 inch}{4 feet}$

Length of the office building on blueprint = l =20 inch

Width of the office building on blueprint = b =15 inch

Real length of the office building on blueprint = L

= $\frac{1 inch}{4feet}=\frac{20 inch}{L}$

L = 80 feet

Real width of the office building on blueprint = B

$\frac{1 inch}{4feet}=\frac{15 inch}{B}$

B = 60 feet

Area of the building = $L\times B=80 ft\times 60=4800 ft^2$

Cost of project = $22,000

Cost of project per square foot = $\frac{\$22,000}{4800 ft^2}=4.58 \$/ft^2$

Project B : A 10-inch by 8-inch blueprint with a scale of 1 inch to 8 feet and a projected cost of $25,000.

Scale factor = $\frac{1 inch}{8 feet}$

Length of the office building on blueprint = l =10 inch

Width of the office building on blueprint = b =8 inch

Real length of the office building on blueprint = L

= $\frac{1 inch}{8feet}=\frac{10 inch}{L}$

L = 80 feet

Real width of the office building on blueprint = B

$\frac{1 inch}{8feet}=\frac{8 inch}{B}$

B = 64 feet

Area of the building = $L\times B=80 ft\times 64=5120 ft^2$

Cost of project = $25,000

Cost of project per square foot = $\frac{\$25,000}{5120 ft^2}=4.88 \$/ft^2$

Project C : A 15-inch by 12-inch blueprint with a scale of 1 inch to 6 feet and a projected cost of $27,000.

Scale factor = $\frac{1 inch}{6 feet}$

Length of the office building on blueprint = l =15 inch

Width of the office building on blueprint = b =12 inch

Real length of the office building on blueprint = L

= $\frac{1 inch}{6 feet}=\frac{15 inch}{L}$

L = 90 feet

Real width of the office building on blueprint = B

$\frac{1 inch}{6feet}=\frac{12 inch}{B}$

B = 72 feet

Area of the building = $L\times B=90 ft\times 72ft=6480 ft^2$

Cost of project = $27,000

Cost of project per square foot = $\frac{\$27,000}{6480ft^2}=4.17\$/ft^2$

Project D :An 8-inch by 6-inch blueprint with a scale of 1 inch to 12 feet and a projected cost of $30,000

Scale factor = $\frac{1 inch}{12 feet}$

Length of the office building on blueprint = l = 8 inch

Width of the office building on blueprint = b =6 inch

Real length of the office building on blueprint = L

= $\frac{1 inch}{12 feet}=\frac{8 inch}{L}$

L = 96 feet

Real width of the office building on blueprint = B

$\frac{1 inch}{12feet}=\frac{6 inch}{B}$

B = 72 feet

Area of the building = $L\times B=96 ft\times 72ft=6912 ft^2$

Cost of project = $27,000

Cost of project per square foot = $\frac{\$30,000}{6912ft^2}=4.34\$/ft^2$

Project B > Project A > Project D > Project C

4 0

3 years ago

2) Caculate the unit rate. Paying $28 for 8 pounds of pears. What is the cost per pound of pears?

I am Lyosha [343]

Answer:

3.5

Step-by-step explanation:

4 0

3 years ago

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