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2 years ago

The shape of the solution region for the system (picture) can be described as which of the following? Select all that apply.

Mathematics

1 answer:

borishaifa [10]2 years ago

7 0

Rectangle and parallelogram

It will have two pairs of parallel sides.

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A car is traveling at a steady speed. It travels 2 1/3 miles in 3 1/2 minutes. How far will it travel in 24 minutes? How far wil

Vikki [24]

Answer:

a) distance traveled is 16 miles.

b) distance traveled is 40 miles.

Step-by-step explanation:

Speed is a scalar quantity which describe the rate of distance moved with time.

i.e speed = $\frac{distance}{time}$

Given that: distance = 2 1/3 miles = $\frac{7}{3}$ miles, time = 3 1/2 minutes = $\frac{7}{2}$ minutes.

Then;

speed = $\frac{7}{3}$ ÷ $\frac{7}{2}$

= $\frac{7}{3}$ x $\frac{2}{7}$

= $\frac{2}{3}$

The car's steady speed is 0.67 miles per minute.

a) when the time is 24 minutes, the distance covered can be determine by:

distance = speed x time

= $\frac{2}{3}$ x 24

= 16

distance traveled is 16 miles.

b) When the time is 1 hour (60 minutes), the distance traveled can be determined by:

distance = speed x time

= $\frac{2}{3}$ x 60

= 40

distance traveled is 40 miles.

5 0

2 years ago

Given:

Fynjy0 [20]

Answer:

Option B is correct.

$\triangle RST \cong \triangle TUR$

Step-by-step explanation:

Given: RSTU is a parallelogram.

By definition of parallelogram, two pairs of opposite sides are congruent in length.

⇒ $TU \cong RS$ and $TS \cong RU$

In triangle RST and triangle TUR

$RS \cong TU$ [Side]

$TS \cong RU$ [Side]

$RT \cong RT$ [Common side]

SSS(Side-Side-Side) postulates states that if three sides of one triangle are congruent to three sides of other triangle, then the triangles are congruent.

then, by SSS postulates we have;

$\triangle RST \cong \triangle TUR$

5 0

3 years ago

3 in.<br> 1 in.<br> 2 in.<br> 4 in.

notka56 [123]

Answer:

The volume would be 12 inches.

Step-by-step explanation:

Volume is LxWxH

for the lower box, I did

4x2x1=8

For the top half

2x2x1=4

Then i added them together

8+4= 12

8 0

2 years ago

if an amount of $5,000 is deposited into a savings account at an annual interest rate of 5%, compounded monthly, what is the val

Ugo [173]

Answer:

$8,240

Step-by-step explanation:

We are given that,

Principle amount in the savings account, P = $5,000.

Rate of interest, r = 5% = 0.05

Time period, t = 10

Also, the interest is compounded monthly, n = 12

As, we now that the value of the investment is given by $P(1+\frac{r}{n})^{nt}$

Thus, we have,

Investment Value = $5000(1+\frac{0.05}{12})^{12\times 10}$

i.e. Investment Value = $5000(1+\frac{0.05}{12})^{12\times 10}$

i.e. Investment Value = $5000(1+0.00417)^{120}$

i.e. Investment Value = $5000\times 1.648$

i.e. Investment Value = $8,240

Hence, the investment amount after 10 years is $8,240.

5 0

2 years ago

I need to put these nine cards into three groups according to similarities I see... but I don't see any similarities! Please hel

Dmitriy789 [7]

Have you learned slope yet? Pick two points from the graph and do x-y on the top and x-y on the bottom. That would give you your slope then you can graph it. For example (-2,-1) (-1,1)
-2-(-1)
-1-1
Then that would give you -1/-2 so technically -1/2<< this is what you graph

8 0

2 years ago