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coldgirl [10]
3 years ago
5

A parallelogram has sides of length 7.7 millimeters and 17.2 millimeters. What is the perimeter?

Mathematics
2 answers:
Kruka [31]3 years ago
7 0
P=2b+2c
P=2(7.7)+2(17.2)
P=15.2+34.4
P=49.6 millimeters
Arlecino [84]3 years ago
6 0
Solutions 

We know that a rectangle has four sides and the perimeter of a rectangle is the distance around the outside of the rectangle.The opposite sides of a rectangle are congruent To find the perimeter you have to use the formula 2 × <span>(Side A + Side B). 
</span>
We have the side lengths 7.7 mm and 17.2 mm. 

Solve 

2 × <span>(Side A + Side B) 
2 </span>× <span>( Side A (7.7) + Side B (17.2) )  
</span>= (7.7 x 2) + (17.2 x 2) 
= 49.6

<span>The perimeter is 49.6 mm².  </span>
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Ella has 0.5 lb of sugar. how much water should she add to make the following concentrations? Tell Ella how much syrup she will
makkiz [27]

Answer:

For 50% syrup, add 0.5 lb of water for 1 lb of syrup; for 5% syrup, add 9.5 lb of water for 10 lb of syrup; for 75% syrup, add 0.17 lb of water for 0.67 lb of syrup; for 1.5% syrup, add 32.8 lb of water for 33.3 lb of syrup.

Step-by-step explanation:

Let x represent the amount of water added.  This means the total mass of the syrup is represented by 0.5+x.

To find percentages, we divide the part by the whole.  For a 50% syrup, we need the part (sugar) compared to the whole (sugar + water) to equal 50%, or 0.50:

Multiply both sides by 0.5+x:

Using the distributive property, we have

0.5 = 0.5(0.5)+0.5(x)

0.5 = 0.25+0.5x

Subtract 0.25 from each side:

0.5-0.25 = 0.25+0.5x-0.25

0.25 = 0.5x

Divide both sides by 0.5:

0.25/0.5 = 0.5x/0.5

x = 0.5

For 50% syrup, add 0.5 lb of water.  This makes the total mass 0.5+0.5 = 1 lb.

For 5% syrup, we change the equation to equal 0.05 (5% = 5/100 = 0.05) and leave everything else the same:

Multiply both sides by 0.5+x:

Using the distributive property,

0.5 = 0.05(0.5)+0.05(x)

0.5 = 0.025 + 0.05x

Subtract 0.025 from both sides:

0.5-0.025 = 0.025+0.05x-0.025

0.475 = 0.05x

Divide both sides by 0.05:

0.475/0.05 = 0.05x/0.05

x = 9.5

For 5% syrup, add 9.5 lb of water; the total mass will be 9.5+0.5 = 10 lb.

For 75% syrup, set the equation equal to 0.75:

Using the distributive property,

0.5 = 0.75(0.5)+0.75(x)

0.5 = 0.375 + 0.75x

Subtract 0.375 from each side:

0.5 - 0.375 = 0.375 + 0.75x - 0.375

0.125 = 0.75x

Divide both sides by 0.75:

0.125/0.75 = 0.75x/0.75

0.17 = x

For 75% syrup, add 0.17 lb of water; the total mass is 0.17+0.5 = 0.67 lb.

For 1.5% syrup, set the equation equal to 0.015:

Using the distributive property,

0.5 = 0.015(0.5) + 0.015(x)

0.5 = 0.0075 + 0.015x

Subtract 0.0075 from each side:

0.5-0.0075 = 0.0075 + 0.015x - 0.0075

0.4925 = 0.015x

Divide both sides by 0.015:

0.4925/0.015 = 0.015x/0.015

32.8 = x

For 1.5% syrup, use 32.8 lb of water; the total mass is 32.8+0.5 = 33.3 lb.

I hope this is right and have a good day

3 0
3 years ago
Read 2 more answers
Help...please it’s due in 35 minutes
loris [4]

Answer:

a) 3/2 b) 5/1 c) Nathan

Step-by-step explanation:

it is Nathan because he runs 5 meters every second and Jay only runs 1.5 meters every second. hope this helps.

6 0
3 years ago
ABCD is a square, what is the measure angle of BAC
Furkat [3]
45 degrees, you are cutting the right angle in half
8 0
3 years ago
Read 2 more answers
7900 dollars is placed in an account with an annual interest rate of 5.5%. How much will be in the account after 11 years?
My name is Ann [436]

Answer:

\$12,679.50

Step-by-step explanation:

we know that

The simple interest formula is equal to

A=P(1+rt)

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

t=11\ years\\ P=\$7,900\\ A=?\\r=5.5\%=5.5/100=0.055

substitute in the formula above

A=7,900(1+0.055*11)

A=7,900(1.605)

A=\$12,679.50

6 0
3 years ago
I NEED HELP MAN PLEASE!!!! nobody is helping rn ):
igor_vitrenko [27]
B is the first term
c is the common ratio

if the first term is x and the 2nd is y then x times c=y

so
-5 times what=10?
what=-2
c=-2
the first term is -5

-5(-2)^(n-1)

b=-5
c=-2
8 0
3 years ago
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