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My name is Ann [436]

3 years ago

7

Help please, I’m having a hard time with answering these type of questions for some reason.

1 answer:

n200080 [17]3 years ago

6 0

Answer: 3 : 21 3/4

Because it is a enlargement of 3, you need to multiply each side by 3 times.

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Mr. Jacobs 55 years old and tony is 7 years olds , in how many years will mr. Jacobs 4 times as old as tony ?

V125BC [204]

Call the mystery number of years ' Y ' .

In 'y' years, Mr. Jacobs will be (55+y), and tony will be (7+y).

You said that Mr. Jacobs will then be 4 times as old as tony, so . . .

      55 + y = 4 (7 + y)

Eliminate the parentheses:    55 + y = 28 + 4y

Subtract 28 from each side: 27 + y =   4y

Subtract 'y' from each side: 27     =   3y

Divide each side by 3 :       9       = y

In 9 years, Mr Jacobs will be (55 + 9) = 64.
In 9 years, tony will be (7 + 9) = 16.

64 is 4 times 16, and now that tony has turned 16,
he can start spelling his name with a capital ' T ',
like a regular grown-up.

5 0

3 years ago

Approximate<img src="https://tex.z-dn.net/?f=%5Csqrt%7B48%7D" id="TexFormula1" title="\sqrt{48}" alt="\sqrt{48}" align="absmiddl

stiv31 [10]

Answer:

6.9

Step-by-step explanation:

If you have a calculator, you can do this easily.

$\sqrt{48}=4\sqrt{3}\quad \left(\mathrm{Decimal:\quad }\:6.92820\dots \right)$

Round the Decimal to the tenths place, and you get 6.9.

5 0

2 years ago

For a circle with a radius of 15 cm, what is the length of an arc intercepted by an angle measuring 120°?

VMariaS [17]

Answer:

$10\pi\ cm$ or $31.4\ cm$

Step-by-step explanation:

step 1

Find the circumference of the circle

The circumference of a circle is equal to

$C=2\pi r$

we have

$r=15\ cm$

substitute

$C=2\pi (15)$

$C=30\pi\ cm$

step 2

Remember that the circumference of the circle subtends a central angle of 360 degrees

so

using proportion

Find the length of an arc by a central angle of 120 degrees

$\frac{30\pi}{360^o}=\frac{x}{120^o}\\\\x=30\pi(120^o)/360^o\\\\x= 10\pi\ cm$

The exact value of the length of the arc is $10\pi\ cm$

assume

$\pi=3.14$

$10(3.14)=31.4\ cm$ ---> approximate value

6 0

4 years ago

Determine if the side lengths could form a triangle. Use an inequality to prove the answer. Inequality must be used.

Alex Ar [27]

<h2>Answer:</h2>

The side lengths given form a triangle

<h2>Explanation:</h2>

Let the lengths of the sides of the triangle be "a", "b" and "c"

For the length to form sides of a triangle, the sum of any two sides of the triangle must be greater than the third as shown:

$\begin{gathered} a+b>c \\ a+c>b \\ b+c>a \end{gathered}$

Given the sides of the triangle as 34km, 27km, and 58km

Let a = 34km, b = 27km and c = 58km

Substituting these values in the expression above to check if it is true:

$\begin{gathered} 34+27=61>58 \\ 34+58=92>27 \\ 27+58=85>34 \end{gathered}$

Since the inequality expression supports the theorem above, hence the side lengths given form a triangle

3 0

1 year ago

Write the tangent ratios for P and Q

Dahasolnce [82]

Answer:

Option A

Step-by-step explanation:

tan P = opposite/adjacent = 12/9

tan Q = opposite/adjacent = 9/12

Therefore, option A is correct

5 0

3 years ago