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3 years ago

Pls helpp I will mark brainlist CHOOSE 2 ANSWERS !! :))

Mathematics

2 answers:

Allisa [31]3 years ago

5 0

Yo sup??

Amount of sprinkles =1/4

This 1/4 should be divided among 5

Therefore

1/4/5

=1/20

Hence the correct answers are option A and D because option B is mathematically wrong.

Hope this helps

Sergeeva-Olga [200]3 years ago

3 0

The correct answers are A and D

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What is the surface area of the solid shown below?

Ugo [173]

Answer:

$\text{C. }156\:\mathrm{cm^3}$

Step-by-step explanation:

The surface area of the triangular prism consists of three rectangles and two triangles.

Rectangle One - 5 x 12 = 60 cm^2

Rectangle Two - 4 x 12 = 48 cm^2

Rectangle Three - 3 x 12 = 36 cm^2

Triangles - 2 x 1/2 x 3 x 4 = 12 cm^2

Thus, the total surface area of the solid is $60+48+36+12=\boxed{\text{C. }156\:\mathrm{cm^3}}$

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3 years ago

One side of a square flower bed is 8 feet long. how many plants are needed if they are to be spaced 8 inches apart around the ou

Sloan [31]

The side is 8 feet = 8*12 inches = 96 inches

Plants are needed if they are to be spaced 8 inches apart around the outside of the bed

96/8 = 12 ... so we need 12 plants on each side, please note it is including the corners.

If we not incluse corner, the flowers will be 10 each side.

Means total flower : 10 * 4 (each side) + 4(corner)

The total needed is 44 plants. : Answer

Hope that will help :)

4 0

3 years ago

Length of a rectangle is 5 cm longer than the width. Four squares are constructed outside the rectangle such that each of the sq

stiv31 [10]

Answer:

Step-by-step explanation:

Remark

This is one of those questions that can throw you. The problem is that do you include the original rectangle or not. The way it is written it sounds like you shouldn't

However if you don't the question gives you 2 complex answers. (answers with the sqrt( - 1) in them.

Solution

Let the width = x

Let the length = x + 5

Area of the rectangle: L * w = x * (x + 5)

Area of the smaller squares (there are 2)

Area = 2*s^2

x = s

Area = 2 * x^2

Area of the larger squares = 2 * (x+5)^2

Total Area

x*(x + 5) + 2x^2 + 2(x + 5)^2 = 120 Expand

x^2 + 5x + 2x^2 + 2(x^2 + 10x + 25) = 120 Remove the brackets

x^2 + 5x + 2x^2 + 2x^2 + 20x + 50 = 120 collect the like terms on the left

5x^2 + 25x + 50 = 120 Subtract 120 from both sides.

5x^2 + 25x - 70 = 0 Divide through by 5

x^2 + 5x - 14 = 0 Factor

(x + 7)(x - 2) = 0 x + 7 has no meaning

x - 2 = 0

x = 2

Perimeter

P = 2*w + 2*L

w = 2

L = 2 + 5

L = 7

P = 2*2 + 2 * 7

P = 4 + 14

P = 18

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3 years ago

Verify the identity. 4 csc 2x = 2 csc2x tan x

vlada-n [284]

Step-by-step explanation:

$4csc(2x) = 2csc^2(x) tan(x)$

We start with Left hand side

We know that csc(x) = 1/ sin(x)

So csc(2x) is replaced by 1/sin(2x)

$4 \frac{1}{sin(2x)}$

Also we use identity

sin(2x) = 2 sin(x) cos(x)

$4 \frac{1}{2sin(x)cos(x)}$

4 divide by 2 is 2

Now we multiply top and bottom by sin(x) because we need tan(x) in our answer

$2\frac{1*sin(x)}{sin(x)cos(x)*sin(x)}$

$2\frac{sin(x)}{sin^2(x)cos(x)}$

$2\frac{1}{sin^2(x)} \frac{sin(x)}{cos(x)}$

We know that sinx/ cosx = tan(x)

Also 1/ sin(x)= csc(x)

so it becomes 2csc^2(x) tan(x) , Right hand side

Hence verified

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3 years ago

Dario bakes a lasagna containing 2/3 pound of parmesan cheese, 5/4 pounds of ricotta cheese, and 4/3 pounds of mozzarella cheese

kap26 [50]

First, we have to figure out how much cheese we have total. Do this by adding up all of the various cheeses.

$\frac{2}{3} + \frac{4}{3} + \frac{5}{4} \\ \frac{6}{3} + 1 + \frac{1}{4} \\ 3 \frac{1}{4}$
Now to split the cheeses into sections of 1/4 pound each, we have to divide by 1/4, which is the same as multipling by 4

$3 \frac{1}{4} \times 4 = 12 + 1 = 13$

13 slices total

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3 years ago