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Lady bird [3.3K]
2 years ago
10

Which point on the number line is the best approximation for √59?

Mathematics
1 answer:
Elina [12.6K]2 years ago
7 0

Answer:

6^2 = 36

Step-by-step explanation:

The number that best approximates the square of 6 is 36, its actual value. The point so labelled is the appropriate point on the number line.

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Karen deposits $150 into her savings account in May and then deposits another $25 in June. She withdrew $105 in July. What is Ka
SVEN [57.7K]

Answer:

her balance in August is $70

Step-by-step explanation:

First, calculate her balance after the deposit in June:

150 + 25

= 175

Then, calculate her balance after July's withdrawl:

175 - 105

= 70

So, her balance in August is $70

7 0
3 years ago
Read 2 more answers
Carol is standing 8 feet from a lamppost. The angle of elevation from her eyes to the top of the lamppost is 20o, and the angle
kupik [55]

Answer:

Height of the lamppost = 5.602 ft + 2.912 ft = 8.514 ft

Step-by-step explanation:

The illustration form a triangle that can be demarcated into 2 right angle triangle. One triangle representing depression triangle and the other elevation triangle.

Depression triangle

The opposite side of the triangle formed is the length of the pole from the base to the horizontal line of sight. Therefore,

using tangential ratio

tan 35° = opposite/adjacent

tan 35° = a/8

cross multiply

a = 8 tan 35°

a = 8 × 0.70020753821

a = 5.60166030568

a = 5.602 ft

Elevation triangle

The opposite side of this right angle triangle represent the length from the horizontal line of sight to the top of the lamppost.

tan 20° = opposite/adjacent

tan 20° = b/8

cross multiply

b = 8 tan 20°

b = 8 × 0.36397023426

b = 2.91176187413

b = 2.912 ft

Height of the lamppost = 5.602 ft + 2.912 ft = 8.514 ft

8 0
3 years ago
Help ASAP!
Tema [17]

Answer:

B

Step-by-step explanation:

\boxed{area \: of \: sector =  \frac{1}{2} {r}^{2} θ }

Radius= diameter ÷2

r= 32 ÷2

r= 16

\frac{1}{2}  {r}^{2} θ =  \frac{512\pi}{3}

Substitute r= 16,

\frac{1}{2} ( {16}^{2} )(θ) =  \frac{512\pi}{3}

128 \: θ =  \frac{512\pi}{3}  \\ θ =  \frac{512\pi}{3}  \div 128 \\ θ =  \frac{512\pi}{384}

Divide the denominator and numerator by 128:

θ =  \frac{4\pi}{3}

Thus, the answer is B.

3 0
3 years ago
I think of a number, then divide by 5, then subtract 78 -the result is nine
KATRIN_1 [288]

Answer:

Imagine that the number that we are looking for is x

We know that:

x/5 - 78 = 9

x/5         = 9 + 78

x/5         = 87

x             = 87 . 5 = 435

So the number we need is 435

8 0
3 years ago
Write an expression with five different terms that is equivalent to 8x^2 + 3x^2 + 3y
Misha Larkins [42]

▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

An expression having five terms which is equivalent to above term is :

  • 5x {}^{2}  + 3 {x}^{2}  + 3{x}^{2}  +4y - y

3 0
3 years ago
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