All categories

3 years ago

What is the value of y? A. 83 B. 89 C. 96 D. 97

Mathematics

1 answer:

Readme [11.4K]3 years ago

7 0

Answer:

A. 83 is the correct option.

Step-by-step explanation:

all angles of a triangle are always equal to 180.

46 + 51 + y = 180

97 + y = 180

180 - 97 = 83

Have a nice day! :-)

You might be interested in

What is 10x10x1908 i need this as soon as possibly

zheka24 [161]

Answer: 190800

Step-by-step explanation:

10 • 10 = 100

Than when you multiply anything 100 you just add two 0s to the end.

100 • 1908 = 190800

6 0

3 years ago

Please help me with this please

Jlenok [28]

Answer:

Step-by-step explanation

3 Units x 7 Units = 21 Square Units

7 0

3 years ago

Jackie's mail route has 350 mailboxes. She can deliver mail to 50 mailboxes per hour. If she has delivered mail to 150 mailboxes

Lyrx [107]

Okay, Jackie starts with 350 mailboxes, but has delivered to 150, so she only has to deliver to 200 more. She can deliver to 50 mailboxes per hour. So 200/50 = 4. The answer is 4 hours.

6 0

3 years ago

Can you guys whats 1/4 out of 0.044 thx

Tju [1.3M]

Answer:

0.176 is your answer

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

a. Calculate the volume of the solid of revolution created by rotating the curve y = 3 + 3 exp(-5 x) about the x-axis, for x bet

miskamm [114]

Answer:

A) The volume of solid is 18π cubic unit.

B) The volume of sphere is $\dfrac{4}{3}\pi r^3$

a = -r , b = r , $f(x)=\sqrt{r^2-x^2}$ and $V=\dfrac{4}{3}\pi r^3$

Solution A)

The given curve, $y=3+3e^{-5x}$ rotate about x-axis between 2 to 4.

Please find attachment for solid figure or rotation.

Using disk method to find the volume rotation about x-axis

$V=\int_a^b\pi R^2dx$

where, a = 2, b= 4 , $R=y=3+3e^{-5x}$ and dx is thickness of disk.

$V=\int_2^4\pi (3+3e^{-5x})^2dx$

$V=9\pi\int_2^4(1+e^{-10x}+2e^{-5x})dx$

$V=9\pi(x-\dfrac{1}{10}e^{-10x}-\dfrac{2}{5}e^{-5x})|_2^4)$

$V=9\pi(4-\dfrac{1}{10}e^{-40}-\dfrac{2}{5}e^{-20}-2+\dfrac{1}{10}e^{-20}-\dfrac{2}{5}e^{-10}))$

$V=9\pi (2-0)$

$V=18\pi$

Hence, the volume of solid is 18π cubic unit

Solution B)

The equation of circle of radius r and centered at origin (0,0).

$x^2+y^2=r^2$

$y=\sqrt{r^2-x^2}$

The solid form is sphere of radius r.

Using disk method, to find volume of solid

$V=\int_a^b\pi R^2dx$

where, a = -r, b = r , $R=y=\sqrt{r^2-x^2}$ and dx is thickness of disk.

$V=\int_{-r}^r\pi (r^2-x^2)dx$

$V=\pi(r^2x-\dfrac{x^3}{3})|_{-r}^r$

$V=\pi(2r^3-\dfrac{2r^3}{3})$

$V=\dfrac{4}{3}\pi r^3$

Hence, the volume of sphere is $\dfrac{4}{3}\pi r^3$

4 0

4 years ago