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2 years ago

8

The length of a rectangle is 3 cm more than four times the width (This will be your first equation. The second equation comes fr

om the perimeter formula below). If the perimeter of the rectangle is 56 cm, what are its dimensions?

1 answer:

Paul [167]2 years ago

3 0

Answer:

the width is 5 and the length is 23

Step-by-step explanation:

2x+2(4x+3)=56

10x+6=56

10x=50

x=5

4(5)+3=23

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What’s the x-intercepts

vovikov84 [41]

The x-intercepts are -6 (put the radical over the 6) and 6 (put the radical over it) or if you need the simplified version they are -2.44 and 2.44

3 0

3 years ago

To prepare for a triathlon, Amanda starts from position A and rides her bike along a straight road for 12 miles to reach positio

Sergio [31]

Answer:

Step-by-step explanation:

Let's draw the given information first for better understanding . Check the image attached.

We can use cosine rule to find the angles .

for angle A ,

$Cos A =\frac{b^2+c^2-a^2}{2bc}$

$Cos A =\frac{20^2+12^2-15^2}{2*20*12}$

$Cos A =\frac{319}{480}$

m∠A = 48.35 degrees

Similarly for angle B

$Cos B =\frac{a^2+c^2-b^2}{2bc}$

$Cos B =\frac{15^2+12^2-20^2}{2*15*12}$

$Cos B =\frac{-31}{360}$

m∠B = 94.94 degrees

Now use A+B+C=180 degrees

48.35+94.94+C=180

C=180-48.35-94.94

m∠C = 36.71 degrees

3 0

3 years ago

Read 2 more answers

Find two consecutive whole numbers that square root 105 lies between

tatiyna

When you are finding 2 consecutive numbers that a square root falls between, you have to think about what the closest whole numbers are, for example, if you have the sq root of 17, it would fall between 4² (16) and 5² (25).

So, in this case, √105 would fall between 10² (100) and 11² (121)

4 0

3 years ago

A pet store sold 36 Siamese cats. If the ratio of Siamese cats to house

White raven [17]

To determine the combined amount of cats sold: is equal to 117 cats

Let the number of Siamese cats sold be S.

Let the number of House cats sold be H.

Let the combined amount of cats sold be C.

<u>Given the following data:</u>

Number of Siamese cats sold = 36

Ratio of S to H = 4:9

Total ratio = 4 + 9 = 13

To determine the combined amount of cats sold:

The ratio of Siamese cats sold is given by:

$\frac{4}{13} \times C=36\\\\4C=36\times 13\\\\4C =468\\\\C=\frac{468}{4}$

C = 117 cats

Read more: brainly.com/question/12230509

8 0

3 years ago

Two consecutive intergers have a sum of 79, find the intergers

aev [14]

Answer:

<em>The integers are 39 and 40.</em>

Step-by-step explanation:

Let the smaller integer be x.

The next greater integer is x + 1.

Their sum is x + x + 1.

Their sum is 79, so

x + x + 1 = 79

Solve for x.

2x + 1 = 79

2x = 78

x = 39

x + 1 = 40

6 0

3 years ago