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horsena [70]
3 years ago
7

Find three consecutive integers whose sum is 96.​

Mathematics
1 answer:
levacccp [35]3 years ago
7 0

Answer:

31,32,33

Step-by-step explanation:

31+32+33 = 96

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The figures are similar. Give the ratio of the perimeters and the ratio of the areas of the first figure to the second.
pickupchik [31]

Answer: first option.

Step-by-step explanation:

The ratio of the area of the triangles can be calculated as following:

ratio_{(area)}=(\frac{l_1}{l_2})^2

Where l_1 is the lenght of the given side of the smaller triangle and l_2 is the lenght of the given side of the larger triangle.

Therefore:

ratio_{(area)}=(\frac{28}{32})^2=\frac{49}{64}

It can be written as following:

ratio_{(area)}=49:64

The ratio of the perimeter is:

ratio_{(perimeter)}=\frac{l_1}{l_2}

Where l_1 is the lenght of the given side of the smaller triangle and l_2 is the lenght of the given side of the larger triangle.

Therefore:

ratio_{(perimeter)}=\frac{28}{32}=\frac{7}{8}

It can be written as following:

ratio_{(perimeter)}=7:8

5 0
3 years ago
Meg lives in Indianapolis and wants to visit her mom in Lima. She has been meaning to go to a chiropractor in Dayton, so she is
ella [17]

Answer: 44 miles

WORKINGS

Given,
The distance between Indianapolis and Lima, IL = 173 miles
The distance between Indianapolis and Dayton, ID = 165 miles
The distance between Dayton and Lima, DL is unknown

Since there are straight roads connecting the three cities, the connection between them form a right angles triangle.

The right angle is at Dayton
The hypotenuse is the distance between Indianapolis and Lima, IL

Therefore IL^2 = ID^2 + DL^2
173^2 = 165^2 + DL^2
DL^2 = 173^2 – 165^2
DL^2 = 29929 – 27225
DL^2 = 2704
DL = 52 miles

Therefore, The distance between Dayton and Lima, DL = 52 miles

The question is asking how many more miles would Meg drive if she stopped in Dayton first than if she drove directly to Lima.

That is, Distance of Indianapolis to Dayton + Distance of Dayton to Lima – Direct distance of Indianapolis to Lima
That is, ID + DL – IL
= 165 miles + 52 miles – 173 miles
= 217 miles – 173 miles
= 44 miles

Therefore, Meg would drive 44 more miles if she stopped in Dayton first than if she drove directly to Lima.
7 0
3 years ago
Which relationships describe angles 1 and 2?
lozanna [386]
Complementary angles
Adjacent angles

Correct
7 0
2 years ago
What is the answer to<br> 3/8+ 5/6+1/2=
qaws [65]

Answer:

Fraction form: \frac{41}{24}

Decimal form: 1.71

Mixed number form: 1 \frac{17}{24}

6 0
3 years ago
Read 2 more answers
An elephant needs to drink at least 40 gallons of water each day. A drinking tank contains 4 gallons of water. The elephant has
natulia [17]
6 more gallons, I don’t know how it’ll be as an inequality though, maybe. 40x/4= 24x/4=6 ?
5 0
3 years ago
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