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3 years ago

Use scientific notation to estimate the number of inches in 1,225 miles

1 answer:

6 0

First, find the number of inches
1225 Miles = 77616000 Inches

then, move the decimal to until you have a ones place. 
77616000. the decimal for this number moves to the left SEVEN places.
you end up with 7.7616000

it will look like this:

7.8 * 10^7

I rounded to the .8 because you didn't state how many significant figures, but it could easily be 7.76 * 10^7

the exponent above the 10 will tell you how many places to move. to get back to your original number, move it back to the right seven places. Of course, you would have to place hold the numbers with 0s. If it were negative, you would move the decimal the opposite way.

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Please help me find the area of the trapezoid :/

Nat2105 [25]

area=(b1+b2)*h all divided by 2

a=(12+12+8.7)*4.9 all divided by 2

a=32.7*4.9/2

a=160.23/2

a=80.12 sq. ft.

3 0

3 years ago

Keith ran in a marathon. It took him 3 hours and 2 minutes to run 26 miles. If he ran at the same rate for the whole race, how m

Lynna [10]

Distance Keith ran = 26 miles

Time it took
= 3 hours 2 minutes = [(3 * 60) + 2] minutes = (180 + 2) minutes = 182 minutes

Hence,

Speed (Rate) = $\frac{Distance}{Time} = \frac{26}{182} = \frac{13}{91} = \frac{1}{7}$ miles per minute

Hence,

Time taken to complete 1 mile
= $\frac{Distance}{Speed} = \frac{1}{ \frac{1}{7} } = 1 * \frac{7}{1}$
= 7 minutes

Hence, the answer is B.

5 0

3 years ago

Triangle XYZ is shown on the coordinate plane below.

sweet [91]

The x coordinate of X and X' has to be the same. The coordinates of X is (4,5) so its distance to y=1 is 5 - 1 = 4. The distance from X' to y=1 must also be 4. The distance from -3 to 1 is 4. So, the answer for the given question above is (4,-3). I hope this helps.

3 0

3 years ago

Read 2 more answers

Select the correct answer from each drop-down menu. ∆ABC has vertices at A(11, 6), B(5, 6), and C(5, 17). ∆XYZ has vertices at X

Vika [28.1K]

The option that is shown to be congruent by a sequence of reflections and translations is Option B: Triangle ABC and Triangle MNO

Option C: Triangle JKL and Triangle PQR can be shown to be congruent by a single rotation.

<h3>How are they congruent?</h3>

Note that:

If ∆MNO can be gotten from ∆ABC then ∆MNO ≅ ∆ABC

To solve for Reflection (x axis), it will be:

The coordinate note for the reflection is (x, y) will be: (x,-y)

Since ∆MNO M(-9, -4), N(-3, -4), and O(-3, -15).

Then the reflections will be:

M(-9, -4)- M1(-9,4)

N(-3, -4)- N1(-3,4)

O(-3,-15)-O1(-3,15)

To solve for Reflection (y axis), it will be:

The coordinate note for the Reflection is (x,y) will be (-x,y)

Since ∆M1N1O1 = M1(-9, 4), N1(-3, 4), and O1(-3, 15).

Then M1(-9, -4) - M2(9,4)

N1(-3, -4) - N2(3,4)

O1(-3,-15)- O2(3,15)

To solve for Translation

The coordinate note for the Translation is (x,y) will be (x+2,y+2)

Since ∆M2N2O2 = M2(9,4), N2(3,4), and O2(3, 15).

Then M2(9, 4) - M3(11,6)=A

N2(3,4) - N3(5,6)=B

O2(3,15) - O3(5,17)=C

Hence ∆MNO ≅ ∆ABC

To know the congruent by a single rotation.

If ∆JKL can be gotten from ∆PQR

Then ∆JKL ≅ ∆PQR

For Rotation of 90 degree in an anticlockwise position, then:

The coordinate note for the Rotation is (x,y) will be (-y, x)

So, ∆JKL = J(17, -2), K(12, -2), and L(12, 7).

J(17, -2)- J1(2,17)

K(12, -2) - K1(2,12)

L(12,7) - L1(-7,12)

To solve for translation

The coordinate note for the translation is (x,y) will be (x+10,y-14)

Then ∆J1K1L1 = J1(2, 17), K1(2, 12), and L1(-7, 12).

Hence J1(2, 17) - J2(12,3) = P

K1(2, 12)- K2(12,-2) = Q

L1(-7, 12)- L2(3,-2) = R

So, ∆JKL ≅ ∆PQR.

So therefore, The option that is shown to be congruent by a sequence of reflections and translations is Option B: Triangle ABC and Triangle MNO

Option C: Triangle JKL and Triangle PQR can be shown to be congruent by a single rotation.

See options below

___ can be shown to be congruent by a sequence of reflections and translations.

1)Pick one to go with the sentence.

a Triangle ABC and Triangle XYZ

b Triangle ABC and Triangle MNO

c Triangle JKL and Triangle ABC

d Triangle PQR and Triangle XYZ

___ can be shown to be congruent by a single rotation.

Pick one to go with the sentence.

a Triangle ABC and Triangle XYZ

b Triangle PQR and Triangle XYZ

c Triangle JKL and Triangle PQR

d Triangle JKL and Triangle XYZ

Learn more about congruent angles from

brainly.com/question/8531982

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3 0

1 year ago

Ray BD bisects angle ABC. Ray BE bisects angle ABD, and Ray BF bisects angle EBD. If angle ABE = 20 degrees, find the measure of

Mars2501 [29]

An angle bisector is a straight line that divides a given angle into two equal measures. Thus the measure of angle FBC is $50^{o}$ .

A line that divides a given measure of angle into two equal measures is referred to as an angle bisector. This makes the two angles produced by the bisector to be congruent.

Thus from the given question, we have;

<ABD + <DBC = < ABC (addition property of a bisected angle)

<ABE + <EBD = <ABD (addition property of a bisected angle)

<EBF + <FBD = <EBD (addition property of a bisected angle)

Given that angle ABE = $20^{o}$ , thus;

<ABE = <EBD = $20^{o}$

Then,

<EBF + <FBD = $20^{o}$

<EBF = <FBD = $10^{o}$

Such that;

<FBC = <FBD + <DBC

= $10^{o}$ + 2<ABE

= $10^{o}$ + $40^{o}$

<FBC = $50^{o}$

Therefore, the measure of angle FBC is $50^{o}$ .

For more clarifications on bisection of a given angle, visit: brainly.com/question/17247176

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8 0

2 years ago