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4 years ago

10

Angel and Robert want to hike a trail that goes from Maine to Georgia. The trail is 2050 miles long. If they hike 12 miles a day

for 30 days, how many miles do they have left to hike?

2 answers:

patriot [66]4 years ago

7 0

Answer:

1690 miles

Step-by-step explanation:

12x30=360

2050-360=1690

Mars2501 [29]4 years ago

4 0

Answer:

Hi

Step-by-step explanation:

wait this is my second account

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I need help w/ this!! thank you

Fittoniya [83]

<h3><u>Answer:</u></h3>

$\boxed{\pink{\sf \leadsto Yes \ there \ is \ a \ solution \ of \ the \ given \ inequality .}}$

<h3><u>Step-by-step explanation:</u></h3>

A inequality is given to us and we need to convert it into standard form and see whether if it has a solution . So let's solve the inequality.

The inequality given to us is :-

$\bf\implies |2y + 3 | - 1 \leq 0 \\\\\bf\implies |2y+3|\leq 1 \\\\\bf\implies (|2y+3|)^2 \leq 1^2 \\\\\bf\implies (2y+3)^2 \leq 1 \\\\\bf\implies (2y)^2+3^2+2(2y)(3) \leq 1 \\\\\bf\implies 4y^2+9+12y - 1 \leq 0 \\\\\bf\implies 4y^2+12y+8 \leq 0 \\\\\bf\implies 4( y^2 + 3y + 2 ) \leq 0 \\\\\bf\implies y^2+3y +2 \leq 0 \:\:\bigg\lgroup \purple{\bf Standard \ form \ of \ inequality }\bigg\rgroup \\\\\bf\implies y^2y+2y+y+2 \leq 0 \\\\\bf\implies y(y+2)+1(y+2)\leq 0 \\\\\bf\implies ( y+2)(y+1)\leq 0 \\\\\bf\implies \boxed{\red{\bf y \leq (-2) , (-1) }}$

Let's plot a graph to see its interval . Graph attached in attachment .

Now we can see that the Interval notation of would be ,

$\boxed{\boxed{\orange \tt \purple{\leadsto}y \in [-2,-1] }}$

<h3><u>Hence</u><u> the</u><u> </u><u>standa</u><u>rd</u><u> </u><u>form</u><u> </u><u>of</u><u> </u><u>inequa</u><u>lity</u><u> </u><u>is</u><u> </u><u>y²</u><u>+</u><u>3y</u><u> </u><u>+</u><u>2</u><u> </u><u>≤</u><u> </u><u>0</u><u> </u><u>and</u><u> </u><u>the </u><u>Solution</u><u> </u><u>set</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>ineq</u><u>uality</u><u> </u><u>is</u><u> </u><u>[</u><u> </u><u>-</u><u>2</u><u> </u><u>,</u><u> </u><u>-</u><u>1</u><u> </u><u>]</u><u> </u><u>.</u></h3>

4 0

3 years ago

What is the angle that is half of its own complement?

Cerrena [4.2K]

If you have an angle and want to know its complement, you subtract it from 90 degrees. What angle, when subtracted from 90 degrees, gives the same value?

90 - x = x

The supplement of x is the angle that you add to x to make 180 degrees. In other words, 180 - x = the supplement of x.

4 0

4 years ago

Tell which number is greater 80%, 7/9

Kipish [7]

Answer:

80%

Step-by-step explanation:

7/9 = 77.777777777778%.

80% > 77.777777777778%

3 0

3 years ago

Find the value of x and then the measure of Arc XYZ and Arc XZ. Show work on a piece of paper.

Westkost [7]

<u>Given</u>:

The measure of arc XY is (31x)°

The measure of arc YZ is (35x - 16)°

We need to determine the value of x, measure of arc XYZ and arc XZ.

<u>Value of x:</u>

From the figure, it is obvious that the arcs XY and YZ are congruent.

Thus, we have;

$31x=35x-16$

Subtracting both sides by 35x, we have;

$-4x=-16$

$x=4$

Thus, the value of x is 4.

<u>Measure of arc XYZ:</u>

The measure of arc XYZ is given by

$m \widehat{XYZ}=m \widehat{XY}+m \widehat{YZ}$

The measure of arc XY is given by

$m \widehat{X Y}=31(4)=124^{\circ}$

The measure of arc YZ is given by

$m \widehat{Y Z}=35(4)-16=124^{\circ}$

Hence, the measure of arc XYZ is given by

$m \widehat{XYZ}=124^{\circ}+124^{\circ}=248^{\circ}$

Therefore, the measure of arc XYZ is 248°

<u>Measure of arc XZ:</u>

The measure of arc XZ is given by

$m \widehat{XZ}=360^{\circ}-m \widehat{XYZ}$

Substituting the values, we have;

$m \widehat{XZ}=360^{\circ}-248^{\circ}$

$m \widehat{XZ}=112^{\circ}$

Thus, the measure of arc XZ is 112°

5 0

3 years ago

Evaluate h-^2g for h=4 and g=32

Lady_Fox [76]

Answer:

$2$

Step-by-step explanation:

The given expression is,

$h^{-2}g$

We apply the laws of indices to rewrite as a positive index to get,

$h^{-2}g=\frac{g}{h^2}$

We substitute

$h=5,g=32$

to obtain,

$=\frac{32}{4^2}$

This simplifies to,

$=\frac{32}{16}=2$

4 0

3 years ago

Read 2 more answers