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3 years ago

Predict the number of roses in a garden with 16 sunflowers if there are 3 sunflowers in a garden with 81 roses.

2 answers:

6 0

Set up a proportion.
3 sunflowers/ 81 roses= 16 sunflowers/xroses

Cross multiply:
81*16=1296
1296/3= 432

Final answer: 432 roses

Allisa [31]3 years ago

4 0

81*16=1296
1296\3=432

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What are the greatest common factors of 51 and 85

rusak2 [61]

$Greatest\ common\ factor\ is\ the\ highest\ number\ by\ which\ 51\ and\ 85\\
can\ be\ divided\\\\ 
51:51\\\\
85:5\\
17:17\\\\GCF=1\\\\Greatest\ common\ factor\ of\ 51\ and\ 85\ is\ equal\ to\ 1.
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3 years ago

Trapezoid QRST has two right angles. A 5-in.altitude can be drawn dividing QRDT into a rectangle and an isosceles right triangle

Vika [28.1K]

Answer:

The area of the trapezoid is 57.5 square inches

Step-by-step explanation:

we know that

The trapezoid QRST can be divided into a rectangle QRDT and an isosceles right triangle RSD

see the attached figure to better understand the problem

step 1

The area of rectangle is given by the formula

$A=((QR)(RD)$

we have

$RD=5\ in$ ----> altitude

$QR=9\ in$

substitute

$A=((9)(5)=45\ in^2$

step 2

Find the area of the isosceles right triangle

The area of triangle is given by the formula

$A=\frac{1}{2}(RD)(DS)$

we have

$RD=DS=5\ in$ ---> because is an isosceles triangle

substitute

$A=\frac{1}{2}(5)(5)=12.5\ in^2$

step 3

Adds the areas

$A=45+12.5=57.5\ in^2$

3 0

3 years ago

Read 2 more answers

How do the mathematical domain and reasonable domain compare

dexar [7]

---
weekly income y:
y = 10x
where x is number of hours worked per week
---
domain: x >= 0 hours
range: y >= 0 dollars
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---

3 0

3 years ago

Four congruent isosceles right triangles are cut from the 4 corners of a square with a side of 20 units. The length of one leg o

yanalaym [24]

Answer:

368 sq. units.

Step-by-step explanation:

We have a square of side lengths 20 units and we cut four congruent isosceles right triangles from the corners of the square.

Now, the four isosceles right triangles have one leg equal to 4 units.

Therefore, the area of four triangles = $4 \times ( \frac{1}{2} \times 4 \times 4) = 32$ sq. units.

Now, we have the area of the given square is (20 × 20) = 400 sq. units.

Therefore, the area of the remaining octagon will be (400 - 32) = 368 sq. units. (Answer)

7 0

3 years ago

Urgent help! This is very important please help me fast! How do you do: Expand & simplify:(x 4)(x 2)

ahrayia [7]

So the question is asking: (x-4)(x-2)
because there is a bracket in between the two expressions it means we have to multiply them together: (x-4) x (x-2)

you can break down the question into smaller parts:
x multiply x
x multiply -2
-4 multiply x
-4 multiply -2

here are the answers:
x^2 (means x squared)
-2x
-4x
8 (because when you multiply two negative numbers it makes a positive)

now you put it into an expression (this is expanding):
x^2 - 2x - 4x + 8

to simplify it you collect like terms:
x^2 - 6x + 8

The above is the answer :)

4 0

3 years ago