Morgan borrowed $0.35 from her mother every time she went to the gas station to buy some chips. Over the summer Morgan went to the grocery store with her mother 9 times. Write an expression using rational numbers to show how much money Morgan borrowed from her mother. Then determine how much Morgan owes her mother.

For A)

arcsin(11/15)=angle of elevation

47.17=angle of elevation

For B)

tan(47.17)=11/x

11/tan(47.17)=x

10.2=x

Answer:

P'=(0,3)

Step-by-step explanation:

P'=(-5+5, 7-4)

Answer:

[tex]\frac{3}{10} , 0.48 , 0.73[/tex]

Step-by-step explanation:

In order to put this number in order from least to greatest, we have to turn them into fractions with the same denominator, so firstly we write down all of the decimals as fractions, and we will get...

[tex]0.48 = \frac{48}{100} \\\\0.73 = \frac{73}{100}[/tex]

Now, we need to find the smallest number that is divisible by 100 and by 10, and this number will be the least common denominator. The smallest number that is divisible by 100 and by 10 is 100, therefore 100 is the least common denominator. Now we have to make all of the fractions have the denominator of 100 and we do that in the following way...

[tex]\frac{48}{100}= \frac{48}{100}\\\\\frac{73}{100} = \frac{73}{100}\\\\\frac{3}{10} = \frac{(3)(10)}{(10)(10)} = \frac{30}{100}[/tex]

By looking at this we need to understand that...

[tex]\frac{30}{100}<\frac{48}{100}<\frac{73}{100}[/tex]

Therefore...

[tex]\frac{3}{10} < 0.48 < 0.73[/tex]

Answer:

Step-by-step explanation:

diameter = 3.7

radius = diameter/2

=3.7/2

=1.85

area of circle = πr^2

=π*(1.85)^2

=3.4225π m^2

Given:

The vertices of a triangle are [tex](1,1),(-1,-1),(-\sqrt{3},\sqrt{3})[/tex].

To prove:

The given vertices are the vertices of an equilateral triangle.

Solution:

Distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Let the vertices of the triangle are [tex]A(1,1),B(-1,-1),C(-\sqrt{3},\sqrt{3})[/tex]. Then, by using the distance formula, we get

[tex]AB=\sqrt{(-1-1)^2+(-1-1)^2}[/tex]

[tex]AB=\sqrt{(-2)^2+(-2)^2}[/tex]

[tex]AB=\sqrt{4+4}[/tex]

[tex]AB=\sqrt{8}[/tex]

Similarly,

[tex]BC=\sqrt{(-\sqrt{3}-(-1))^2+(\sqrt{3}-(-1))^2}[/tex]

[tex]BC=\sqrt{(1-\sqrt{3})^2+(1+\sqrt{3})^2}[/tex]

[tex]BC=\sqrt{(1)^2+(\sqrt{3})^2-2\sqrt{3}+(1)^2+(\sqrt{3})^2+2\sqrt{3}}[/tex]

[tex]BC=\sqrt{1+3+1+3}[/tex]

[tex]BC=\sqrt{8}[/tex]

And,

[tex]CA=\sqrt{(1-(-\sqrt{3}))^2+(1-\sqrt{3})^2}[/tex]

[tex]CA=\sqrt{(1+\sqrt{3}))^2+(1-\sqrt{3})^2}[/tex]

[tex]CA=\sqrt{(1)^2+(\sqrt{3})^2+2\sqrt{3}+(1)^2+(\sqrt{3})^2-2\sqrt{3}}[/tex]

[tex]CA=\sqrt{1+3+1+3}[/tex]

[tex]CA=\sqrt{8}[/tex]

Clearly, [tex]AB=BC=CA[/tex].

Since all sides of the given triangle are equal, therefore the given vertices are the vertices of an equilateral triangle.

Hence proved.

Answer:

(5,3)

Step-by-step explanation:

1. Translation 5 units right, so the x-coordinates goes to 5.

2. Translation 5 units under, so the y-coordinates goes to 3.

So . the answer is (5, 3)

Answer:

6,9,12

Step-by-step explanation:

A triangle cannot be considered a triangle unless the sum of the smaller two of the sides is greater than the larger side.

Answer:

(6, 9, 12)

Hope that this helps!

Answer: 103 degrees

Step-by-step explanation: all angle of a regular triangle always add up to 180. so 62+15=77. and 180 - 77= 103

Answer:

A. 103 degrees

Step-by-step explanation:

In a triangle, the sum of angle measures is equal to 180 degrees, so by adding 62 & 15, & subtracting it from 180 you get the third angle measure of 103.

Answer:

The 2 option :)

Step-by-step explanation:

The Chords : QL ,SM , Secant : NR , Tangents : a  and b , Diameter : QL, ,radii: PT , QT and TL therefore the Option A is the correct answer.

A circle is a round shaped figure , whose all points are in the same plane and at same distance from a single point known as center.

A secant is a segment that passes through 2 points on a circle, It is an infinite extension of a chord.

A tangent touches a circle at exactly one point and never enters the interior of the circle.

A chord is a line segment which connects two point on the circle.

A diameter is a chord that passes through the center of the circleThe radius is half of the diameter of the circle

Based on the above definitions

Chords : QL ,SM

Secant : NR

Tangents : a  and b

Diameter : QL

radii: PT , QT and TL

To know more about Circle

https://brainly.com/question/11833983

#SPJ2

Answer:

X=5

x=y2+9

x2=y

x2=y2+16

Step-by-step explanation:

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

Answer:

32 ft³

Step-by-step explanation:

put r= 2 ft

V= 4/3x 3 X 2³

V= 32 ft³

I got this answer with help form Gauthmath App you can check out the app on Play Store and App store.

Answer:

2355in³

Step-by-step explanation:

3.14(5)²×30=2355 in³

Answer:

Answer:94.2

Answer:94.2Step-by-step explanation:

Answer:94.2Step-by-step explanation:3.14(5)²×30

Answer:94.2Step-by-step explanation:3.14(5)²×303.14×25×30

Answer:94.2Step-by-step explanation:3.14(5)²×303.14×25×303.14×5×6

= 94.2

i am sorry if it is not correct

Answer:

8a) 3x

8b) 3 × x

8c) (2/3)x

8d) x/2

8e) 1/x

9a) 4x - 7

9b) x + 1/x

9c) 5(x + 2)

9d) x/(x + 4)

9e) (x/8) + x

Answer:

8

Step-by-step explanation:

Given:

13 - 0.75w + 8x

where,

w = 12

x = 1/2

13 - 0.75w + 8x

Substitute the value of w and x into the equation

= 13 - 0.75(12) + 8(1/2)

= 13 - 9 + 8/2

= 13 - 9 + 4

= 8

Therefore,

13 - 0.75w + 8x = 8

Answer:The distance from the school to the theater = 18 units

Step-by-step explanation:

Distance between (a,b) and (c,d) = [tex]\sqrt{(d-b)^2+(c-a)^2}[/tex] units.

Given: On a map of a town a school is located (-6, 3) and a movie theater is located (-6, -15).

So, distance between (-6, 3) and(-6, -15) = [tex]\sqrt{(-6-(-6))^2+(-15-3)^2}[/tex]

[tex]=\sqrt{0^2+(-18)^2}\\\\=\sqrt{18^2}\\\\=18\ units[/tex]

Hence, the distance from the school to the theater = 18 units

Answer:

D

Step-by-step explanation:

point C is on the y with the value 2 so y=2 and x=z=0

Answer:

m<N, m<L, m<M

Step-by-step explanation:

The angle that sees the longest side length has the bigger angle measurement

so the angles would be listed as following :

from smallest to largest :

m<N, m<L, m<M

Answer:

hypotenuse = 7.3

Step-by-step explanation:

the length two legs of the given triangle are 7 and 2 respectively.

using pythagoras theorem

a^2 + b^2 = c^2

7^2 + 2^2 = c^2

49 + 4 = c^2

53 = c^2

[tex]\sqrt{53}[/tex] = c

7.3 = c

Answer:

not defined

Step-by-step explanation:

[tex] {x}^{2} = 56 - 2000 - 15637 \\ {x}^{2} = - 1758[/tex]

Answer:

Option : The product of the roots is - 4

Step-by-step explanation:

[tex]3x^2 + 9x - 12 = 0\\\\3x^2 + 12x - 3x - 12 = 0\\\\3x(x+4) -3(x+4) = 0\\\\(3x - 3) (x+ 4) = 0\\\\[/tex]

Therefore the roots are -4 and 1

The product of the roots are -4 x 1 = -4

Answer:

Gradient = -3

Step-by-step explanation:

The gradient of the graph = change in y/change in x

Change in y = the vertical distance = 3 units

Change in x = the run/horizontal distance = 1 unit

The line slopes downward, so it's a negative gradient.

Thus:

Gradient = 3/1 = -3

Step-by-step explanation:

since both cords are equal, so are arc length

4x + 18 = 7x - 51

3x - 21 = 0

x = 7

arc RS = 4(7) + 18

Answer:

I believe the correct answer is 49.

Step-by-step explanation:

If this answer is incorrect let me know and I will fix it. I'm sorry in advance if it is wrong.

Answer:

42 crickets

Step-by-step explanation:

6 x 7= 42

Step-by-step explanation:

- 1⅔ < -¼

__________________

Step-by-step explanation:

you only need to provide an example ?

if your question here is complete, then the full set is

{1,7,8}

and these are all possible subsets (pick any one you like) :

{1}, {7}, {8}, {1,7}, {1,8}, {7,8}

and formally also

{}, {1,7,8}

the empty set is a subset of every set, and the whole set itself is also formally a subset.

Answer:

a

Step-by-step explanation:

Answer:

option c

Step-by-step explanation:

[tex]\frac{-4}{3} * y = \frac{-3}{4}[/tex]

shift -4/3 to the right hand side . when it shifts to other side miltiplication changes to division

y = [tex]\frac{-3}{4} /\frac{-4}{3}[/tex]

now do reciprocal

y = [tex]\frac{-3}{4} *\frac{3}{-4}[/tex]

y = [tex]\frac{-9}{-16}[/tex]

minus and minus gets cancel

y = [tex]\frac{9}{16}[/tex]

y = [tex]\frac{(3)^2}{(4)^2}[/tex]

y = [tex](\frac{3}{4})^2[/tex]

Answer:

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

3 - 7 = -4 and 3(3) + 2(-7) = -5, so D is the only choice that is correct for both inequalities.

Answer:1) 32.  2).  3) 21.  4) 4

Step-by-step explanation: 1) 4*8=32m, 2) I don't know, 3) 6*7=42 for the area of a square but since a triangle half it so its 21, An the last is by 4 for example 4*10=40 but if doubled its 20*8 and that equals 160. and 160/40=4