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Mazyrski [523]
3 years ago
14

Please help me on this one kinda stuck on this Thank you

Mathematics
2 answers:
Goshia [24]3 years ago
6 0
1) 100 * 40 = 4000 (cm²) the area of rectangle
2) 40 * 30 * 1/2 = 600 (cm²) the area of triangle
3) 4000 + 600 = 4600 (cm²)

Answer: 4600 cm²
sp2606 [1]3 years ago
5 0
First find the area of the rectangle like so, 100 * 40 = 4000cm
Then, find the area of the triangle like so, 30 * 40 = 1200cm
Then, since the triangle is a triangle, and not a square, you divide 1200cm by 2, and get 600cm. 
Finally, add them up. The answer you should get is 4600cm².
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What is the value of m in the equation 38(m−29)=434 ?
Len [333]
38(m - 29) = 434...distribute thru the parenthesis
38m - 1102 = 434...add 1102 to both sides
38m = 434 + 1102
38m = 1536....divide both sides by 38
m = 1536/38
m = 768/19 or 40 8/19
8 0
3 years ago
The sum of two numbers is at most 12, and the sum of 3 times the first number and 8 times the second number is at least 48 selec
Sever21 [200]

Answer:

(4,8)

Step-by-step explanation:

4 + 8 = 12

3(4) + 8(8)

= 12 + 64

= 76

6 0
2 years ago
Which shows the factored form of x2-12x-45
Gelneren [198K]
<span>x^2 - 12x - 45
= (x - 15) (x + 3) .........</span><span>factored form</span>
4 0
3 years ago
Read 2 more answers
A baker is building a rectangular solid box from cardboard to be able to safely deliver a birthday cake. The baker wants the vol
k0ka [10]

The length of the rectangular delivery box must be equal to 4 inches.

Let the length of the box be L.

Let the width of the box be W.

Let the height of the box be H.

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

  • Volume of box = 224 cubic inches.

Translating the word problem into an algebraic expression;

W = 3 + L  ......equation 1

H = 4 + L  ......equation 2.

Mathematically, the volume of a rectangular solid is given by the formula;

Volume = length * width * height  .....equation 3.

Substituting the values into equation, we have;

224 = L * (3 + L) * (4 + L)\\\\224 = (3L + L^{2})* (4 + L)\\\\224 = 12L + 3L^{2} + 4L^{2} + L^{3} \\\\224 = 12L + 7L^{2} + L^{3}

Rearranging the polynomial, we have;

L^{3} + 7L^{2} +  12L - 224 = 0

We would apply the remainder theorem to solve the polynomial.

According to the remainder theorem, if a polynomial P(x) is divided by (x - r) and there is a remainder R; then P(r) = R.

When x = 3

(x - 3) = 0\\x = 3

P(3) = 3^{3} + 7(3^{2}) + 12(3) - 224\\\\P(3) = 27 + 7(9)  + 36 - 224\\\\P(3) = 27 + 63 + 36 - 224 = -98 \neq 0

We would try with 4;

P(4) = 4^{3} + 7(4^{2}) + 12(4) - 224\\\\P(4) = 64 + 7(16)  + 48 - 224\\\\P(4) = 64 + 112 + 48 - 224\\\\P(4) = 224  - 224 = 0

Therefore, 4 is one of its roots.

Hence, the length of the rectangular delivery box must be equal to 4 inches.

Find more information on polynomial here: brainly.com/question/10689855

3 0
2 years ago
Amanda has 4 liters of juice and some glasses. She will pour 1/4 liter of juice into each glass. What is the total number of gla
scZoUnD [109]

Answer:

16 glasses

Step-by-step explanation:

If 1 glass = 1/4 liter of juice

then 16 glasses = 4 liters of juice

because 4 divided by 1/4 = 16

8 0
3 years ago
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