What is the measure angle of 3 ?
The measure angle of 4?
What is the measure angle of 3 ? The measure - 1

Answers

Answer 1
Answer: Answer:
Angle 4=83
Angle 3=46

Explanation:
For angle 4- Angles in a triangle add to 180 degrees
46+51=97 180-97=83
For angle 3- angles on a straight line add to 180 degrees
51+83=134 180-134=46

I hope this helped :)

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Oliva picked 256 strawberries from the orchard fields. She divided strawberries evenly to 6 baskets. How many strawberries are in each basket? How many are leftover?

A cylindrical can without a top is made to contain 25 3 cm of liquid. What are the dimensions of the can that will minimize the cost to make the can if the metal for the sides will cost $1.25 per 2 cm and the metal for the bottom will cost $2.00 per 2 cm ?

Answers

Answer:

Therefore the radius of the can is 1.71 cm and height of the can is 2.72 cm.

Step-by-step explanation:

Given that, the volume of cylindrical can with out top is 25 cm³.

Consider the height of the can be h and radius be r.

The volume of the can is V= \pi r^2h

According to the problem,

\pi r^2 h=25

\Rightarrow h=(25)/(\pi r^2)

The surface area of the base of the can is = \pi r^2

The metal for the bottom will cost $2.00 per cm²

The metal cost for the base is =$(2.00× \pi r^2)

The lateral surface area of the can is = 2\pi rh

The metal for the side will cost $1.25 per cm²

The metal cost for the base is =$(1.25× 2\pi rh)

                                                 =\$2.5 \pi r h

Total cost of metal is C= 2.00 \pi r^2+2.5 \pi r h

Putting h=(25)/(\pi r^2)

\therefore C=2\pi r^2+2.5 \pi r * (25)/(\pi r^2)

\Rightarrow C=2\pi r^2+ (62.5)/( r)

Differentiating with respect to r

C'=4\pi r- (62.5)/( r^2)

Again differentiating with respect to r

C''=4\pi + (125)/( r^3)

To find the minimize cost, we set C'=0

4\pi r- (62.5)/( r^2)=0

\Rightarrow 4\pi r=(62.5)/( r^2)

\Rightarrow  r^3=(62.5)/( 4\pi)

⇒r=1.71

Now,

\left C''\right|_(x=1.71)=4\pi +(125)/(1.71^3)>0

When r=1.71 cm, the metal cost will be minimum.

Therefore,

h=(25)/(\pi* 1.71^2)

⇒h=2.72 cm

Therefore the radius of the can is 1.71 cm and height of the can is 2.72 cm.

When you convert 3,500,000,000,000 to scientific notation, the exponent

Answers

Answer:

The exponent is positive, and the exponent is 12

Step-by-step explanation:

Suppose you invest $50 a month in an annuity that earns 48% APR compounded monthly. How much money will you have in this account after 2 years?A: 2001.29
B: 751.29
C: 1954.13
D: 1536.19
Solution:
use formula P[((1+(r/n)^(nt))-1)/(r/n)]
Solution 50[((1+(0.48/12)^(2 x 12))-1)/(0.48/12)]
= C $1954.13

Answers

It is given that you have invested $50 a month in an annuity that earns 48% APR compounded monthly. We can conclude that after 2 years you will have $1954.13 in your account.

How to solve future value?

To solve this we are going to use the formula for the future value of an ordinary annuity:

P[(((1+(r/n)^(nt)-1))/((r/n))]

where

FV is the future value

P is the periodic payment

r is the interest rate in decimal form

n is the number of times the interest is compounded per year

t is the number of years

It is given that you have invested $50 a month in an annuity that earns 48% APR compounded monthly. we need to find how much money you have in this account after 2 years.

Since the interest is compounded monthly, it is compounded 12 times per year; therefore,

r = 48% = 0.48

n = 12

Let's put the values in our formula:

P[(((1+(r/n)^(nt)-1))/((r/n))]\n\n50[(((1+(0.48/12)^(12* 3)-1))/((0.48/3))]\n\n$1954.13

Thus, We can conclude that after 2 years you will have $1954.13 in your account.

Learn more about interest here;

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C is the right answer

Twice the area of a square is 72 square miles. What is the length of each side of the square?

Answers

Answer:

6 miles

Step-by-step explanation:

Let's say the length of the sides of the square is x.

The area of a square is denoted by: A = x².

Here, we're given that twice the area of the square is 72, so we can write this is 2 times the area, which is 2 * x². Set this equal to 72 and solve:

2x² = 72

x² = 36

x = 6

Thus the answer is 6 miles.

Answer:

6 miles

Step-by-step explanation:

2A = 72

A = 72/2

A = 36

Area = s²

36 = s²

s = 6 miles

Which is better 32 miles or 12.7 kilometers and why

Answers

Answer:

32 miles

Step-by-step explanation:

32 miles is equal to 51.499008 Kilometers

12.7 kilometers is equal to 7.891414 miles

Help me factorise 25tx squared + 20t - 24 please?

Answers

I tried to figure it out but Math Way says it cant be factorized? Sorry i hope you figure it out! Math way might be your best bet though