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dedylja [7]
3 years ago
7

The height of certain banner is equal to one third of its length, If the banner is 5 feet tall, write an equation that can be us

ed to find the banner’s length, L, in feet
Mathematics
1 answer:
Ludmilka [50]3 years ago
3 0

5÷3=length

5 is the length of the banner and you need to know the length. You already know that the length is 1/3 of the width (5).

1.7 feet

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A central angle θ in a circle of radius 4 m is subtended by an arc of length 5 m. find the measure of θ in degrees. (round your
koban [17]

Answer:

\theta=71.6\°

Step-by-step explanation:

step 1

Find the circumference of the circle

The circumference is equal to

C=2\pi r

we have

r=4\ m

substitute the values

C=2\pi (4)=8 \pi\ m

step 2

Remember that

360 degrees subtends the arc of length  8 \pi\ m (circumference)

so

by proportion

Find the measure of θ by an arc of length 5 m

assume \pi=3.1416

\frac{360}{8\pi}=\frac{\theta}{5}\\ \\ \theta=360*5/8\pi \\ \\ \theta=71.6\°

5 0
3 years ago
Maristella is constructing an isosceles triangle to use as a model in her Algebra class. The perimeter of her triangle is 24 cm.
Vlada [557]

Isolating s, the equation written in terms of s is:

s = 12 - 0.5b

-------------------------

  • The equation for the length of the third side, as stated in the problem,("Maristella uses the equation b = 24 – 2s to find b, the length of the triangle's third side") is:

b = 24 - 2s

  • To solve for the lengths of the congruent sides, we isolate s, thus:

b = 24 - 2s

2s = 24 - b

Inverse of multiplication is division, thus:

s = \frac{24 - b}{2}

Separating into two fractions:

s = \frac{24}{2} - \frac{b}{2}

Solving each fraction:

s = 12 - 0.5b

A similar problem is given at brainly.com/question/5123313

3 0
3 years ago
Help me answer this question about congruent triangles. 50 points available.
Anuta_ua [19.1K]

Answer:

B

Step-by-step explanation:

No these triangles are not congruent.

<u>Left triangle</u>

Shortest side = 6 cm

Longest side = 13 cm

3rd side = unknown but < 13

<u>Right triangle</u>

Shortest side = 6 cm

Longest side = unknown but > 13

3rd side = 13 cm

Although the shortest side of both triangles is 6 cm, the longest side of the left triangle is 13 cm, whereas the longest side of the right triangle is unknown but will be more than 13 cm.

We do not know if any of the angles are congruent.  If they were congruent, we would expect to see this marked by the same angle line(s) on each triangle.

3 0
2 years ago
Ron finds 9 books at a bookstore that he would like to buy, but he can afford only 5 of them. In how many ways can he make his s
olga55 [171]

Answer:

d. 126; 70

Step-by-step explanation:

given that Ron  finds 9 books at a bookstore that he would like to buy, but he can afford only 5 of them.

Out of 9 books he has to select 5 of them

Here selection of books can be done in any order.  Hence order does not matter

No of ways he selects 5 books out of 9 books = 9C5

= 126

Part II

One book is a must

Hence he has options only 4 books from the remaining 8.

No of ways when one book is compulsory = selecting 3 books from 8 books

= 8C4

= 70

Option d is right.

6 0
3 years ago
Convert 2% to a decimal
nalin [4]

Answer: 0.02

Step-by-step explanation: Divide 2 by 100

5 0
3 years ago
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