The scale on a map is 1 cm:60 km. How many kilometers are represented by 2.5 centimeters on the map?

120 kilometers
105 kilometers
135 kilometers
150 kilometers

Answer:

See below

Step-by-step explanation:

The first step is to find the length of AB. By the Pythagorean Theorem:

[tex]AB=\sqrt{26^2-24^2}=\sqrt{676-576}=\sqrt{100}=10[/tex]

Now, you can proceed:

[tex]\sin \theta= \dfrac{24}{26}=\dfrac{12}{13} \\\\\\\cos \theta= \dfrac{10}{26}=\dfrac{5}{13} \\\\\\\tan \theta= \dfrac{24}{10}=\dfrac{12}{5} \\\\\\\csc \theta= \dfrac{13}{12} \\\\\\\sec \theta=\dfrac{13}{5} \\\\\\\cot \theta=\dfrac{5}{12}[/tex]

Answer:

y = 45

Step-by-step explanation:

70 and y + 25 are corresponding angle and corresponding angles are equal when we have parallel lines cut by a transversal

70 = y+25

Subtract 25 from each side

70-25 = y

45 = y

[tex]answer \\ y = 45 °\\ solution \\ y + 25 = 70(being \: corresponding \: angles) \\ or \: y = 70 - 25 \\ y = 45 °\\ hope \: it \: helps[/tex]

Answer:

7 and -4

Step-by-step explanation:

Coefficients are the number before the variables.  Their job is to multiply the variable by their quantity. 7x and -4x are the two expressions with both a number and a variable.  That makes 7 and -4 the coefficients.

Answer:

53:19:28

Step-by-step explanation:

Answer:

53:28

Step-by-step explanation:

the mass of sugar= 100-(53+19)

=100-72

=28g

therefore: ratio of blackberries to sugar is

=53g/28g

=53:28

Answer: 2A/base = Height

Step-by-step explanation:

[tex]A=\frac{base*height}{2} \\2A=base*height\\\frac{2A}{base} =height[/tex]

Answer:

65.60

Step-by-step explanation:

First find the markdown

markdown = original price times the percent markdown

                  = 80* 18%

                  = 80 * .18

                     14.4

Take the markdown from the original price to find the retail price

80-14.4 =65.60

Answer:

7 large notebooks and 3 small notebooks.

Step-by-step explanation:

If you take the number 5 and keep adding it to itself you will get the number 45. This should help.Therefore the answer to this word problem would be, " Alison can buy 7 large $5 notebooks. She can also buy 3 small notebooks.

Brainliest is greatly appreciated

Answered by: SKylar

6/8/2020

12:13 PM (Eastern Time)

Answer: 9 notebooks

Step-by-step explanation:

It says “what’s the maximum of large notebooks can she buy” So basically I guess just large notebooks.

Answer: 24.4

Step-by-step explanation:

So lets review a bit about sine, cosine, and tangent.

Look at attachment below

Okay so we have the opposite side of the triangle and are trying to find the length of the adjacent side. The only trig expression that contains both opposite and adjacent is tangent. The equation goes

tanX = opposite(XZ)/adjacent (YZ)

we know what X is X = 16

and we know what opposite is opposite = 7

so now the equation looks like

tan16 = 7/adjacent

and in the question it says that tan16 = 0.287 so lets plug that in

0.287 = 7/adjacent

0.287adjacent = 7

adjacent = 7/0.287

adjacent = 24.4

YZ = 24.4

Answer:

600cm3 the 3 is ment to be cubed

Step-by-step explanation:

Answer:

V = 702.984763 m³

Step-by-step explanation:

radius r = 6.9 m

height h = 4.7 m

volume V = 702.984763 m³

lateral surface area L = 203.7637 m²

top surface area T = 149.571226 m²

base surface area B = 149.571226 m²

total surface area A = 502.906152 m²

In Terms of Pi π

volume V = 223.767 π m³

lateral surface area L = 64.86 π m²

top surface area T = 47.61 π m²

base surface area B = 47.61 π m²

total surface area A = 160.08 π m²

Agenda:

r = radius  = diameter/2

h = height

V = volume

L = lateral surface area

T = top surface area

B = base surface area

A = total surface area

π = pi = 3.1415926535898

√ = square root

Formula: Cylinder Formulas in terms of r and h:

Calculate volume of a cylinder:

V = πr²h

Calculate the lateral surface area of a cylinder (just the curved outside):

L = 2πrh

Calculate the top and bottom surface area of a cylinder (2 circles):

T = B = πr²

Total surface area of a closed cylinder is:

A = L + T + B = 2πrh + 2(πr²) = 2πr(h+r)

Answer:

see below

Step-by-step explanation:

first flip x and y and solve for y

write new equation as x =-3(y+6) distribute

x = -3y -18 add 18 on both sides

x +18 = -3y divide by -3

(-1/3) x -6 or (x +18)/-3 or [tex]\frac{-x}{3} -6[/tex]

Answer:

A

Step-by-step explanation:

A because the height and age are sometimes not proportional or ideal. Some kids don't develop due to health problems for example, which make them look smaller than normal. Other people might a conditions, which makes them grow to tall.

Answer:

68.8 Inches, 5.73 Ft.

Step-by-step explanation:

To find out how many inches tall the horse is, divide 17 1/5 by 1/4. You will get 68.8 inches. To convert that to feet, divide it by 12. that would be 5.7333... Ft, so you will probably need to round it to just 5.73.

Answer:

Perimeter = 98 cm

Area = 596 [tex]cm^{2}[/tex]

Step-by-step explanation:

Please refer to the attached image for the resultant figure when a quadrant of circle with radius 7 cm is cut from a rectangle of sides 30 cm and 25 cm.

Perimeter of a figure = Sum of all its sides + Perimeter of circle

Quadrant of a circle is one fourth of a circle and there are 4 such quadrant of a circle, so eventually there is one complete circle in this figure.

The sides of this resultant figure = 30 - 14 = 16 cm

and 25 - 14 = 11 cm

So perimeter of this figure = 16 + 11 + 16 + 11 + Perimeter of circle

[tex]\Rightarrow 54 + 2 \pi r\\\Rightarrow 54 + 2 \times \dfrac{22}{7} \times 7\\\Rightarrow 54 + 44 = 98 cm[/tex]

To find area of this figure = Area of rectangle - Area of circle

Area of rectangle = Length [tex]\times[/tex] Width

[tex]\Rightarrow 30 \times 25 = 750\ cm^{2}[/tex]

Area of circle = [tex]\pi r^{2}[/tex]

[tex]\Rightarrow \dfrac{22}{7} \times 7^{2} = 154\ cm^{2}[/tex]

So, area of figure = 750 - 154 = 596 [tex]cm^{2}[/tex]

Answer:

C.

Step-by-step explanation:

a. 2^7 = 128

b. 2^11 = 2048

c. 2^12 = 4096

d. 2^64 = 1.844674407 * 10^19

16^3 = 4096

Answer:

C.

Step-by-step explanation:

Volume of a Sphere = [tex]\frac{4}{3} \pi r^3[/tex]

Where volume of sphere = 81 π cm³

So, the equation becomes

81 π = [tex]\frac{4}{3} \pi r^3[/tex]

Answer:

the correct answer is the third row.

Step-by-step explanation

Answer: Answer is f(x) = 25x4 - 7x2 + x + 4

Step-by-step explanation:

Answer:

d on edg

Step-by-step explanation:

Answer:

x = 98

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles

x = 53+45

x = 98

Answer:

x°=98°

Step-by-step explanation:

Since a triangle's interior angles add up to 180°, then ∠G is 180°-45°-53° or 82°. Since ∠G and ∠x add up to 180° (they form a straight line), then x° is 180°-82° or 98°.

x°=98°

Answer:

4x - 3y = 0

Step-by-step explanation:

The angle between the radius and the tangent at P is right

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 4y + 3x = 25 into this form

Subtract 3x from both sides

4y = - 3x + 25 ( divide all terms by 4 )

y = - [tex]\frac{3}{4}[/tex] x + [tex]\frac{25}{4}[/tex] ← in slope- intercept form

with slope m = - [tex]\frac{3}{4}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{3}{4} }[/tex] = [tex]\frac{4}{3}[/tex] , thus

y = [tex]\frac{4}{3}[/tex] x + c ← is the partial equation

To find c substitute P(3, 4) into the partial equation

4 = 4 + c ⇒ c = 4 - 4 = 0

y = [tex]\frac{4}{3}[/tex] x ← equation of radius in slope- intercept form

Multiply through by 3

3y = 4x ( subtract 3y from both sides )

4x - 3y = 0 ← equation of radius in standard form

Yes, it would be a scalene triangle. This can happen.

The Triangle sides have to be greater than c.

a+b > c

With the given inches, substitute it into the equations:

a = 3 in

b = 5 in

c = 9 in

3 + 5 > 9

Solve.

9 > 9

This is False since because a + b is not > c. a + b is equal to c.

Answer:

B

Step-by-step explanation:

If two lines are parallel, then their slopes are equal.

Line 1: y = 2x + 6

slope = 2

Line 2:

(1 , 5) ; (3,9)

[tex]Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{9-5}{3-1}\\\\=\frac{4}{2}\\\\=2[/tex]

Slope of line 1 = slope of line 2  = 2

So, line 1 and line 2 are parallel

Answer:

[tex]\frac{13}{4}[/tex]

Step-by-step explanation:

[tex]\frac{3}{4} +\bigg(\frac{1}{3}\div\frac{1}{6}\bigg)-\bigg(-\frac{1}{2}\bigg)\\=\frac{3}{4} + \bigg(\frac{1}{3}\times\frac{6}{1}\bigg)+\frac{1}{2}\\=\frac{3}{4} +2 + \frac{1}{2}\\=\frac{3}{4} +\frac{8}{4} + \frac{2}{4}\\=\frac{3+8+2}{4} \\=\frac{13}{4} \\= 3.25[/tex]

Answer:

CBA

Step-by-step explanation:

We can name the angle B

Or name the angle ABC

Or name the angle CBA

The vertex of the angle must be in the center

Answer:

The answer is CBA

Step-by-step explanation:

Answer:

165

Step-by-step explanation:

First, m<UTS=m<UTV+m<VTS by Angle Addition Postulate.  Then, you substitute all the values that you provided for the angles.  15x+15=x+15+140.  You then solve for x.

15x+15=x+155

14x=140

x=10

You then plug back in 10 for X in the value of m<UTS.  15(10)+15=165

Answer:

C

Step-by-step explanation:

Answer: The answers are in the steps hope it helps.

Step-by-step explanation:

First solve or the equation and let it be in slope intercept form

y + 2 = 1/2( x + 2)   apply the distributive property first

y + 2= 1/2x + 1

    -2               -2

y= 1/2x -1      is not in slope intercept form so you could put  in any number for x and five y.

This are the points you could plot then draw a straight line between them.

x        y

0        -1

2         0

4          1

6          2

8           3

10          4

-2          -2

-4            -3

-6            -4

-8             -5

-10             -6

Answer:

B

Step-by-step explanation:

To find the answer we add to the fractions

5/6 + 2/3 = 5/6 + 4/6 = 9/6 = 3/2 = 1 1/2

Answer:

1 1/2

Step-by-step explanation:

5/6 + 2/3

Get a common denominator

5/6 + 2/3 *2/2

5/6 + 4/6

9/6

Rewriting as a mixed number

1 3/6

1 1/2

Answer:

Angle X is 80 degrees mate

Step-by-step explanation:

How you may ask? Well since the angle CBD is given as 100 degrees, Angle BFH also becomes 100 degrees as corrosponding angles are always equal. If angle BFH becomes 100 degrees, Angle X becomes 80 degrees as 100+80=180 degrees.

Hope This Helped:)

Answer:

80

Step-by-step explanation:

The angle underneath the given one has to be 80 to form that straight line. And as you should know alternate interior angle are congruent meaning the angle you are looking for has to be 80.

Hope this helps :)

Answer:

(up) by 6

left by 7

Step-by-step explanation: