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Mademuasel [1]
2 years ago
15

I’m not sure what it could be?

Mathematics
1 answer:
Soloha48 [4]2 years ago
7 0

Answer:

B

Step-by-step explanation:

If x equals 1/4 then it must be B because:

All the sections are divided into fourths so 1/4 plus 3/4 is 1.

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The stopping distance d of an automobile is directly proportional to the square of its speed s. On one road, a car requires 75 f
Anton [14]

Answer:

The car requires 192 feet to stop from a speed of 48 miles per hour on the same road

Step-by-step explanation:

  • Direct proportion means that two quantities increase or decrease in the same ratio
  • If y is directly proportional to x (y ∝ x) , then \frac{y_{1}}{y_{2}}=\frac{x_{1}}{x_{2}}  <em>OR</em>  y = k x, where k is the constant of proportionality

∵ The stopping distance d of an automobile is directly

   proportional to the square of its speed s

- That means d ∝ s²

∴  \frac{d_{1}}{d_{2}}=\frac{(s_{1})^{2}}{(s_{2})^{2}}

∵ A car requires 75 feet to stop from a speed of 30 miles per hour

∴ d = 75 feet

∴ s = 30 miles/hour

- Change the mile to feet

∵ 1 mile = 5280 feet

∴ 30 miles/hour = 30 × 5280 = 158400 feet/hour

∵  The car require to stop from a speed of 48 miles per hour

    on the same road

- Change the mile to feet

∴ 48 miles/hour = 48 × 5280 = 253440 feet/hour

∵  \frac{d_{1}}{d_{2}}=\frac{(s_{1})^{2}}{(s_{2})^{2}}

- Substitute the values of d_{1} by 75 feet, s_{1} by 158400 feet/hour

   and s_{2} by 253440 feet/hour

∴ \frac{75}{d_{2}}=\frac{(158400)^{2}}{(253440)^{2}}

∴  \frac{75}{d_{2}}=\frac{25}{64}

- By using cross multiplication

∴ 25 × d_{2} = 75 × 64

- Divide both sides by 25

∴ d_{2}  = 192 feet

The car requires 192 feet to stop from a speed of 48 miles per hour on the same road

4 0
2 years ago
99 % of the trees in our neighborhood are eucalyptus trees. The town planning commission wants to get rid of some of these trees
Brut [27]

Answer:

50%

Step-by-step explanation:

Let the total number of trees be T and suppose that this is made up of eucalyptus trees E and other kinds of trees, O.

Then E+O=T, and since 99% of the trees are eucalyptus trees, EE+O=0.99.

Therefore

0.99E+0.99O=E

0.01E=0.99O

E=99O.

Suppose we reduce the number of eucalyptus trees by some amount x and that the remaining number of eucalyptus trees are now 98% of the total trees.

Then we would have E−x(E−x)+O=0.98.

Therefore,

0.02(E−x)=0.98O

0.02E−0.02x=0.98O

0.02x=0.02E−0.98O

x=E−50(0.98)O

x=E−49O

x=E−49(E99)

x=5099E≈0.505050...×E.

So we end up removing a little over half of the eucalyptus trees. EDIT: Forgot to mention - removing 50.505050...% of the eucalyptus trees means that we are removing 0.50505050....×0.99T which is 0.5T or half the trees in the neighborhood.

3 0
3 years ago
Jackie cut a piece of paper along its diagonal, as shown below, forming two triangles.
harina [27]

Answer:

B. The two dimensions are the same in the triangles as they were in the rectangle.

Step-by-step explanation:

Given

Initial Shape: Rectangle (Before cut)

Final Shape: Triangles (After cut)

<em>Note that this can be explained properly with the use of attachments</em>

See attachment 1 for Before Cut

Before Cut represent the full rectangle before Jackie cut the piece of paper.

Let H and B represent the height and base of the triangle

Given that the rectangle is cut diagonally, this means that the cutting starts and ends at the opposite edges of the rectangle

See attachment 2 for After Cut

After Cut represent the two triangles after cutting the rectangle

From the attachment, you'll observe that the dimension of the two triangles (Triangle 1 and Triangle 2) are the same as it is with the rectangle;

In other words, the two triangle have their heights as H and their bases as B.

Hence, it can concluded that the two dimensions are the same in the triangles as they were in the rectangle.

4 0
3 years ago
Read 2 more answers
Find the missing coefficient. -___________ y2 − [-5y − y(-7y − 9)] − [-y (15y + 4)] = 0
Luden [163]
  y = 0 
Hope this helps! (:
7 0
3 years ago
Read 2 more answers
Find the quotient. 4^10/4^2
shutvik [7]

Answer:

a

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
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