The measures of the exterior angles of a pentagon are c, 2x, 4x, 5x, and 8x, solve for x

PLEASE NO LINKS I LOST SO MANY POINTS

Ann [662]

Answer:

We will split the trapezoid into right angle triangle and rectangle

Traingle with base 3cm and height 10 - 6 = 4cm

Area of traingle

= $\frac{1}{2}*base *height = \frac{1}{2} * 3 * 4 = 6cm^{2}$

Area of rectangle with sides 6cm and 3cm

= $6 * 3 = 18cm^{2}$

Therefore, area of the trapezoid

= $6+18 = 24cm^{2}$

Area of the semi circle with radius 3/2 = 1.5cm

= $\frac{1}{2}\pi r^{2} = \frac{1*\pi *1.5*1.5}{2} = 1.125\pi cm^{2}$

$Total area = 24 + 1.125\pi =27.53cm^{2}$

8 0

3 years ago

When completing an online shopping transaction, a typical shopper takes 5 seconds to select each product and another 60 seconds

natulia [17]

4 products are being purchased.

Step-by-step explanation:

Given,

Time taken to select each product = 5 seconds

Time taken to complete check out process = 60 seconds

Total time taken for a transaction = 80 seconds

Let,

x be the number of products purchased.

Time taken for each product*Number of product + Time for check out process = total process

$5x+60=80\\5x=80-60\\5x=20$

Dividing both sides by 5

$\frac{5x}{5}=\frac{20}{5}\\x=4$

4 products are being purchased.

Keywords: variable, division

Learn more about division at:

#LearnwithBrainly

8 0

3 years ago

Use a double angle identity to rewrite the formula r(Θ)=<img src="https://tex.z-dn.net/?f=1%2F16v%5E2sin%28theta%29cos%28theta%2

Artist 52 [7]

Answer:

1/32v²sin2θ

Step-by-step explanation:

Given the expression r(theta) = 1/16v²sinθcosθ

According to double angle of trigonometry identity;

Sin2θ = sin(θ+θ)

Sin2θ = sinθcosθ + cosθsinθ

Sin2θ = 2sinθcosθ

sinθcosθ = sin2θ/2 ... **

Substituting equation ** into the question

1/16v²sinθcosθ = 1/16v²(sin2θ/2)

1/16v²sinθcosθ = 1/2×1/16v²(sin2θ)

1/16v²sinθcosθ = 1/32v²sin2θ

Hence using the double angle identity, the equivalent expression is 1/32v²sin2θ

7 0

3 years ago

Mr. Herrera is going to

Mnenie [13.5K]

Answer:

Mr. Herrera will hike 78 miles on 6th day.

Step-by-step explanation:

Given:

Number of miles Mr. Herrera will hike in 9 days = 117 miles

Total Number of days =9 days

Let us first find the number of miles he will hike in 1 day

By Using Unitary method we get,

Number of miles Mr. Herrera will hike in 1 days= $\frac{117} {9}=13\ miles$

We need to find miles hiked in 6th day.

Number of miles Mr. Herrera will hike on 6th day= Number of miles Mr. Herrera will hike in 1 days $\times$ Number of days = $13 \times 6 =78$

7 0

3 years ago

At a production process, the produced items are tested for defects. A defective unit is classified as such with probability 0.9,

Snezhnost [94]

Answer:

We use Baye's theorem: P(A)P(B|A) = P(B)P(A|B)

with (A) being defective and

(B) marked as defective

we have to find P(B) = P(A).P(B|A) + P(¬A)P(B|¬A). .......eq(2)

Since P(A) = 0.1 and P(B|A)=0.9,

P(¬A) = 1 - P(A) = 1 - 0.1 = 0.9

and

P(B|A¬) = 1 - P(¬B|¬A) = 1 - 0.85 = 0.15

put these values in eq(2)

P(B) = (0.1 × 0.9) + (0.9 × 0.15)

= 0.225 put this in eq(1) and solve for P(B)

P(B) = 0.4

6 0

3 years ago