_________ is the quality a design has if it maintains all characterics when it is rotated about a point lying in its plane.

Need a step by step explanation and an answer.

lyudmila [28]

Answer:

43 is your answer I tried to help let me know if you got it right or wrong.

your answer will be 43

3 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

Select the correct answer from each drop-down menu.

alina1380 [7]

Answer:

Step-by-step explanation:

Y

5 0

3 years ago

Determine the equation of the inverse of y= 2^3x-1

MariettaO [177]

Answer:

f^-1(x)= 1/3+In(x)/3 In(2)

Step-by-step explanation:

6 0

3 years ago

a carnival game consists of 3 dart throws at a target. The probability of scoring a hit on any one throw is 30%. Using the binom

Ghella [55]

Answer: Probability of scoring 2 hits = 0.63.

Step-by-step explanation:

Since we have given that

Number of dart throws at a target = 3

Probability of scoring a hit on any one throw = 30%

We will use "Binomial Distribution" i.e.

$P=^nC_rp^r(1-p)^{n-r}$

where,

n denotes number of dart throws at a target,

r denotes number of required throws

p denotes probability of success

(1-p) denotes probability of failure

So, Probability of success is given by

$\frac{30}{100}=\frac{3}{10}$

Probability of failure is given by

$1-\frac{30}{100}=\frac{70}{100}=\frac{7}{10}$

We will use "Binomial Distribution" i.e.

$P(X=2)=^3C_2(\frac{3}{10})^2\times (\frac{7}{10})\\\\P(X=2)=\frac{9}{100}\times \frac{7}{100}\\\\P(X=2)=\frac{63}{100}\\\\P(X=2)=0.63$

Hence, Probability of scoring 2 hits = 0.63.

3 0

3 years ago