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3 years ago

WILL GIVE BRAINLIEST What is the area of this figure? Enter your answer in the box.

Mathematics

2 answers:

frozen [14]3 years ago

7 0

The answer is 400 in^2.

The area of the parallelogram is base*height = 20*16=320.
Add that to the area of the triangle which is base*height*1/2 = 8*20*1/2 = 80

320 + 80 = 400

Note = We know the base of the triangle is 20 because it is a side of a parallelogram, so its measure is the same as the one of its opposite side = 20.

ValentinkaMS [17]3 years ago

7 0

Hello! The answer would be 400 in^2.

The area of the parallelogram is base*height = 20*16=320.
Add that to the area of the triangle which is base*height*1/2 = 8*20*1/2 = 80

320 + 80 = 400

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Find the volume of the rectangular prism , in cubic centimeters please answer

12345 [234]

Answer:

the volume of the rectangular prism = 166.336 cubic cm

Hence, option C is correct.

Step-by-step explanation:

We can determine the volume of the rectangular prism using the formula given below.

The volume of the rectangular prism = Base area x Height

Determining the Base area:

Given

Length l = 3.2 cm

Width w = 4.6 cm

Area of the Base area = l × w

= 3.2 × 4.6

= 14.72 cm²

Thus, the area of the Base area = 14.72 cm²

As the height h = 11.3 cm

Thus,

The volume of the rectangular prism = Base area x Height

= 14.72 x 11.3

= 166.336 cubic cm

Therefore, the volume of the rectangular prism = 166.336 cubic cm

Hence, option C is correct.

8 0

2 years ago

PLEASE HELP!!!! Which of these pair of functions are inverse functions?

Mamont248 [21]

Answer:

Option B and C are correct.

Step-by-step explanation:

Inverse function: If both the domain and the range are R for a function f(x), and if f(x) has an inverse g(x) then:

$f(g(x)) = g(f(x)) = x$ for every x∈R.

Let $f(x) = \frac{1}{2}(\ln(\frac{x}{2}) -1)$ and $g(x) = 2e^{2x+1}$

Use logarithmic rules:

$ln e^a = a$

$e^{lnx} = x$

$\ln a^b = b\ln a$

then, by definition;

$f(g(x)) = f(2e^{2x+1}) =\frac{1}{2}(\ln(\frac{2e^{2x+1}}{2})-1)$ = $\frac{1}{2}(\ln(e^{2x+1}}){-1) = \frac{1}{2} (2x+1-1) =\frac{1}{2}(2x) = x$

$g(f(x)) = g(\frac{1}{2}(\ln(\frac{x}{2}) -1)) = 2e^{2({\frac{1}{2}(\ln(\frac{x}{2}) -1})+1$ $2e^{(\ln(\frac{x}{2}) -1+1}=2e^{\ln(\frac{x}{2})} =2\cdot \frac{x}{2} = x$

Similarly;

for $f(x) = \frac{4 \ln(x^2)}{e^2}$ and $g(x) = e^{\frac{e^2 \cdot x}{8} }$

then, by definition;

$f(g(x)) = f(e^{\frac{e^2 \cdot x}{8}}) =\frac{4 \ln {(\frac{e^2 \cdot x}{8})^2}}{e^2}$ = $\frac{8 \ln {(\frac{e^2 \cdot x}{8})}}{e^2} =\frac{8\frac{e^2\cdot x}{8} }{e^2}=\frac{8e^2 \cdot x}{8e^2}=x$

Similarly,

g(f(x)) = x

Therefore, the only option B and C are correct. As the pairs of functions are inverse function.

3 0

3 years ago

Lois and Joe start saving pennies on new years day. Lois has 5 pennies and saves 2 pennies every day. Joe starts with 4 pennies

Mazyrski [523]

Well Your answer is 32 beacuse if lois has 5 pennies and saves 2 and joe start with 4 pennies and saves 6. well what i do first is 2 over 5 and then i do 4 over 6 and then i multiply 5 and 6 and then it 30 and that goes on the bottom and then i multiply 2×6 =12 and then i multiply 4×5=20 so i add both answer and it get me 30 that your answer

4 0

2 years ago

Please help me answer #2 and #3 with the process Thank you it’s very much appreciated ! :)

makkiz [27]

Answer:

2). The oak tree is 33ft tall.

Step-by-step explanation:

Same process as I explained before

Answer:

3). The building is 30ft tall.

Step-by-step explanation:

Same process as I explained before

6 0

2 years ago

V=1/3(pi)(r^2)(h) solve for h

Sladkaya [172]

Answer:

h = 3V/(πr²)

Step-by-step explanation:

given the volume of a cone

V = (1/3)πr²h

πr²h = 3V

h = 3V/(πr²)

7 0

3 years ago

Read 2 more answers