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2 years ago

Which place value would you look at to compare 225,and 225,988?

Mathematics

2 answers:

mezya [45]2 years ago

7 0

In the hundreds place the tend place and the ones place. hopes this helps?!

kramer2 years ago

5 0

In the hundreds place since the other numbers are exactly the same

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Find The art length of a sector with an area of 8 square units.

frez [133]

$\bf \textit{area of a sector of a circle}\\\\
A=\cfrac{\theta \pi r^2}{360}\quad 
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad degrees\\
------\\
A=8\\
r=4
\end{cases}\implies 8=\cfrac{\theta \pi 4^2}{360}\implies \cfrac{8\cdot 360}{4^2\pi }=\theta 
\\\\\\
\cfrac{2880}{16\pi }=\theta \implies \boxed{\cfrac{180}{\pi }=\theta }\\\\
-------------------------------\\\\$

$\bf \textit{arc's length}\\\\
s=\cfrac{\theta \pi r}{180}\quad 
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad degrees\\
------\\
\theta =\frac{180}{\pi }\\
r=4
\end{cases}\implies s=\cfrac{\frac{180}{\underline{\pi} }\underline{\pi} \cdot 4}{180}\implies s=\cfrac{\underline{180}\cdot 4}{\underline{180}}
\\\\\\
\boxed{s=4}$

if you do a quick calculation on what that angle is, you'll notice that it is exactly 1 radian, and an angle of 1 radian, has an arc that is the same length as its radius.

that's pretty much what one-radian stands for, an angle, whose arc is the same length as its radius.

6 0

2 years ago

Michael saves $423 dollars a month for college.

alexandr1967 [171]

Answer:

(a). $20,000

(b). The estimate will be lower than the actual amount.

Step-by-step explanation:

We have been given that Michael saves $423 dollars a month for college.

(a). We know that 1 year equals 12 months.

4 years = 4*12 months = 48 months.

$\text{Actual amount saved}=\$423\times 48$

Since we are asked to find the estimated amount of money Michael will save in 4 years, so we will estimate both quantities as:

$423\approx 400\\\\48\approx 50$

$\text{Actual amount saved}=\$400\times 50$

$\text{Actual amount saved}=\$20,000$

Therefore, Michael will save approximately $20,000 in 4 years.

(b).

The estimate will be lower than the actual amount as we rounded $423 down $23 to nearest hundred that is $400 and rounded 48 up 2 to nearest ten that is 40.

Therefore, the estimate will be lower than the actual amount.

5 0

2 years ago

Which of these triangle pairs can be mapped to each other using a single reflection?

kondor19780726 [428]

Answer:

Second triangle pair

Step-by-step explanation:

In a reflection, the shape is flipped. In the first pair, the corresponding sides as shown by the lines, and the corresponding angle are already in the same position. In the second pair, Δ MLN can be reflected so that line LN match with EG and line LM matches with line EF. ∠L and ∠E will also be mapped to each other when one triangle is reflected.

3 0

2 years ago

Use the net to find the surface area of the regular pyramid.

Svetradugi [14.3K]

Answer:

7 or $7^{2}$

Step-by-step explanation:

Each triangle has the surface area of 1.5, because 1 $*$ 3 = 3 / 2 = 1.5. You divide by two because it is half a rectangle instead of a full one. You multiply by four which would get you 1.5 $*$ 4 = 6. The square in the middle has the surface area of 1 because 1 $*$ 1 = 1. So you would get 7.

6 0

1 year ago

Determine the area that is bounded by the graphs of the following equations on the interval below. (Round your answer to three d

Elza [17]

Answer:

A≅407.34 au (area units)

Step-by-step explanation:

we must find the area generated by equations a., b., and c. To do this we must graph and the areas and determine their points to evaluate

As seen in the graphs (1, 2) we have the area generated by equations a. b. and the limits within which the area should be evaluated are those determined by c.

Finally we find A (view graph 3)

7 0

2 years ago