answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
jasenka [17]
2 years ago
5

Find the area of the following shape. You must show all work to receive credit. Please help!

Mathematics
1 answer:
lisabon 2012 [21]2 years ago
7 0
This is a compound figure
First, section off a triangle at bcd. The base is 8 units with a height of 2 units so the area is 8 square units.
Form a trapezoid between the areas where x is -3 to 1. Use the formula to find the area (28 square units).
There are two triangles left. Find the area of both of them (4 units and 2 units)
Add all of these values together to get a total of 42 square units

You might be interested in
1. tentukan hasil dari 243⅔?
Vesnalui [34]

Penjelasan langkah demi langkah:

1)

= 243^{\frac{2}{3} }\\= (\sqrt[3]{243})^2\\= 7^2\\= 49

2) √32 +3√18-2√50

= √16*2 +3√9*2-2√25*2

= 4√2 + 3(3√2)-2(5√2)

= 4√2 + 9√2-10√2

= 13√2-10√2

= 3√2

3) 1000 ⅔×64⅙

 = (\sqrt[3]{1000}) ^2 \times (2^6)^{1/6}  \\= 10^2 \times 2\\= 100 \times 2\\= 200

4) 3/4+√2

3/4+\sqrt{2} \\= \frac{3+4\sqrt{2} }{4 }

5) 2√3×√18

= 2√3×√9*2

= 2√3×3√2

= (2*3)(√3*√2)

= 6√6

6) 12/3+√3

= 4+√3

7) √1000—2√40

= 10 -2 (√4*10)

= 10-2(2√10)

= 10 - 4√10

8) 2- ¹+3-¹

= \frac{1}{2} + \frac{1}{3}\\ = \frac{3+2}{6}\\ = \frac{5}{6}

9)

\frac{5}{\sqrt{5} }\\ merasionalisasikan\\= \frac{5}{\sqrt{5} }\times \frac{\sqrt{5} }{\sqrt{5} }\\= \frac{5\sqrt{5} }{\sqrt{25} }\\= \frac{5\sqrt{5} }{5}\\ = \frac{\sqrt{5} }{1}

Jika pernyataannya opsional, penyebutnya adalah 1

10) 2√3×√18

= 2√3×√9*2

= 2√3×3√2

= (2*3)(√3*√2)

= 6√6

7 0
2 years ago
According to Euclid’s second postulate, how far can the line segment shown be extended in either direction?
Vilka [71]

Answer:

b. not at all

Step-by-step explanation:

• a line goes on forevee in every direction

• a ray continues forever in one direction only

• a segment has a set length and will not extend

8 0
2 years ago
Read 2 more answers
Graph on a coordinate plane each set of (x, y) values. Which set of values describes two quantities that are in a proportional r
Ray Of Light [21]

Answer:

(3, 5.1)(0, 0)(5, 8.5)

Step-by-step explanation:

A proportional relationship occurs only with a linear relationship that goes through the origin.

8 0
2 years ago
Workers at a particular mining site receive an average of 35 days paid vacation, which is lower than the national average. The m
SVETLANKA909090 [29]

Answer:

B

Step-by-step explanation:

The average of paid time off is the sum of the paid time off (T) of each employee divided by the number of employees(n):

av = (∑T)/n

Thus, av is directly proportional to the sum of T and indirectly proportional to n. It means that if T raises, the average raises too. So, the manager must fire the employees who have the least number of days off, so T will increase.

4 0
1 year ago
Events M and N are independent events. In this scenario, if P(M) = 0.46 and P(M and N) = 0.138, then P(N) = .
Oksi-84 [34.3K]

Answer:

P(N)=0.3

Step-by-step explanation:

Given: P(M)= 0.46, P(M and N)=0.138

Using P(M) ×P(N)= P(M and N)

⇒0.46×P(N)= 0.138

⇒P(N)= \frac{0.138}{0.46}

⇒P(N)=0.3

7 0
2 years ago
Read 2 more answers
Other questions:
  • stilt scored 5 points less than twice the number scored by dunk. together they scored 43 points. how many points were scored by
    10·1 answer
  • Type the correct answer in each box. Round your answers to the nearest integer.
    14·2 answers
  • Sally will measure the length of a wall in both centimeters and meters. Will there be fewer centimeters or fewer meters? Explain
    12·2 answers
  • A number in which each digit except 0 appears exactly 3 times is divisible by 3. for​ example, 777,555,222 and​ 414,143,313 are
    6·1 answer
  • A movie theater manager wants to determine whether popcorn sales have increased since the theater switched from using "butter-fl
    10·1 answer
  • Jackson bought 555 ounces of raisins for \$4$4dollar sign, 4.
    15·2 answers
  • What is the solution to this system of equations? x + 2 y = 4. 2 x minus 2 y = 5.
    12·2 answers
  • What is the value of 3 minus (negative 2)? A number line going from negative 5 to positive 5. –5 –1 1 5What is the product? (6)
    13·1 answer
  • The classroom has 12 9/10 meters of tape in one area of the building, and 8 3/5 meters of tape in another part. How much tape do
    10·2 answers
  • A bird was sitting 16 feet from the base of an oak tree and flew 20 feet to reach the top of the tree. How tall is the tree?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!