If 70 increased to 100 by what percent did it increase?

Answer:

you first find the radius which is given by r=√(5^2)+(-5^2)=5√2,and then you find the angle which is given by tan^-1(y÷x),that is tan^-1(-5÷5)=-45°.This angle lies between (5,-5)

so 360-45=315°.

The ordered pair will be (5√2,315°)

To obtain the second ordered pair 315°-180°=135°

(5√2,135°)

the two pairs of polar coordinates are (5√2,135°,

5√2,315°)

Answer:

The 72 feet is measured on the slope, not out from the pole horizontally. I get

top of pole is at

40 + 72 sin17°

downhill point is

72 cos 17°

from point beneath the pole

cable^2 = (40+72 sin17°)^2 + (72 cos 17°)^2

The correct answer is option b) 76.77

The 56 feet is measured on the slope, not out from the pole horizontally.

The top of the pole is at

32 + 56 sin17°

Downhill point is

56 cos17°

From a point beneath the pole

⇒ cable^2 =  (32 + 56 sin17°)^2 + (56 cos17°)^2

⇒ cable^2 = 96.74 + 53.553

⇒ cable^2 = 150.29

Dividing both sides by 2

⇒ cable =  75.15 (76 approx)

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Answer:$342

Step-by-step explanation: First we convert to yards: which gives us 14/3 yards and 20/3 yards. We multiply these to find a combined area of 280/9 yards, which we then multiply to get 280*11/3. Simplify to get 342.22 repeating, which rounds to 342.

[tex]\boxed{Given:}[/tex]

Length of the perpendicular ( opposite ) = 6 cm.

Length of the base ( adjacent ) = 8 cm.

[tex]\boxed{To\:find:}[/tex]

The smallest angle of the triangle.

[tex]\boxed{Solution:}[/tex]

[tex]\sf\purple{C.\:37°}[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

In a right-angled triangle, if two sides are given, the measure of the unknown angle can be known.

Since the value of opposite and adjacent sides are given, we use the tangent formula.

tan θ = [tex]\frac{opposite}{adjacent}[/tex]

✒ tan θ = [tex]\frac{6 \: cm}{8 \: cm}[/tex]

✒ θ = [tex]{tan}^{ - 1}[/tex] (0.75)

✒ θ = 36.9°

✒ θ = 37°

Now let us find the other unknown angle 'x'.

We know that,

Sum of angles of a triangle = 180°

✒ 37° + x + 90° = 180° (90° since it is a right-angled triangle)

✒ x + 127° = 180°

✒ x = 180° - 127°

✒ x = 53°

Therefore, the three angles of the triangle are 37°, 53° and 90°.

Hence, the smallest angle is 37°.

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]

Answer:

17

Step-by-step explanation:

f(x)=3x+2

Let x = 5

f(5)=3*5+2

Multiply first

f(5) = 15+2

Then add

    = 17

Answer:

i don't know but o o o o right e o right e auto park

Answer:

4234324tgfgdfgdgd

Step-by-step explanation:

Answer:

the answer is 102

Step-by-step explanation:

hope this helps

Answer: (b)

Step-by-step explanation:

Given

Function for bill calculation is

[tex]\Rightarrow b(x)=\left \{ {{0.15x\quad \quad \quad \, \ \ \ \ x<200} \atop {0.1(x-200)+30\quad x>200}} \right.[/tex]

The consumption is 700 kWh i.e. more than 200

Therefore, bill is given by the second function i.e. [tex]0.10(x-200)+30[/tex]

Substitute 700 for x to get the bill

[tex]\Rightarrow 0.1(700-200)+30\\\Rightarrow 50+30=\$80[/tex]

Hence, option (b) is correct.

Answer:

See below.

Step-by-step explanation:

Length * width

4 * 3 = 12 ft[tex]^2[/tex]

Answer:

24 square feet

Step-by-step explanation:

Area = area of triangle - area of rectangle

[tex]Area \ of \ triangle = \frac{1}{2} \times base \times height =\frac{1}{2} \times(4 +5) \times (5+3) = 9 \times 4 = 36 \ ft^2\\\\Area \ of \ rectangle = Length \times Breadth = 3 \times 4 = 12 \ ft^2\\\\\\Area \ of \ the\ shaded \ region = 36 - 12 = 24 \ ft^2[/tex]

Answer:

C(m) = 2.50 + 2m

Step-by-step explanation:

The fixed charge = charge per entry = $2.50

Charge per mile = $2

Function which represents the cost of a ride of m miles ;

Cost for m miles, C(m)

C(m) = charge per entry + cost per mile * number of miles

Where, number of miles = m

C(m) = 2.50 + 2m

Answer:

C(m) =2  m + 2.5

Step-by-step explanation:

I DID IN ED

Answer:

[tex]P(4) = \frac{1}{6}[/tex]

[tex]P(\text{not a 2}) = \frac{5}{6}[/tex]

[tex]P(\text{3 or 5}) = \frac{1}{3}[/tex]

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Number cube:

A number cube is a dice, which has six sides, numbered 1 to 6.

P(4)

One the sides is a 4, thus:

[tex]P(4) = \frac{1}{6}[/tex]

P(not a 2)

Of the 6 sides, one is a 2, and the other 5 are not 2. So

[tex]P(\text{not a 2}) = \frac{5}{6}[/tex]

P(3 or 5)

One sides is 3, other is 5, 1 + 1 = 2. So

[tex]P(\text{3 or 5}) = \frac{2}{6} = \frac{1}{3}[/tex]

Answer:

981,518

Step-by-step explanation:

Have a nice day :)

Answer:

Now out of these points, i guess steps 5 and 6 are the main steps that ensure that the copied line segment is exactly the same as the original segment.

Step-by-step explanation:

Here are the steps I think you probably will go through.

1. Draw a line that is longer than the segment but shorter than the width of the page.

1a. Make sure this line is  at least 1/2 inch from the left hand side.  

2. Use a compass to measure the length of the original segment. Never use a ruler. Rulers do not exist in pure geometry.

3. Measure out the distance on the line you just drew with the compass. One end is on the left hand edge and the other end (the pencil end) is marking the segment so it is the same length as the compass. You are done.

The key step either two or three.The steps to copy a line segment are given below:

1. Lets start with a line segment AB that we have to copy.

2. Now mark a point C. below or above AB, that will be one endpoint of the new line segment.

3. Now, put the compass tip on point A of the line segment AB.

4. Spread the compass up to point B, so as the compass width is equal to length of AB.

5. Without changing the compass width, now place the compass tip on the point C that you made in step 2.

6. Now, draw an arc roughly without changing the compass settings. Mark that point D. This will form the new line segment.

7. Draw a line from C to D.

Now out of these points, i guess steps 5 and 6 are the main steps that ensure that the copied line segment is exactly the same as the original segment.

Answer:

100÷2= 50

Step-by-step explanation:

Because if we divide a 100 equally by 2 it will be 50

Answer:

12

Step-by-step explanation:

[tex]\sqrt{u+25t}[/tex]

[tex]\sqrt{19+25(5)}[/tex]

[tex]\sqrt{144}[/tex]

12

Answer:

12

Step-by-step explanation:

Evaluate and substitute:

Sqrt of 19 + 25(5)

Sqrt of 19 + 125 = 144

Sqrt of 144

Sqrt of 144 = 12

Therefore, our answer!

Hope this helps!

Answer:

[tex] \frac{8 {x}^{2} y}{6 {x}^{2} {y}^{2} } \\ = \frac{8×3}{6 {y}^{2} } \\ = \frac{24}{6 \times {3}^{2} } \\ = \frac{4}{9} [/tex]

Answer:

Yessssss!

Step-by-step explanation:

Answer:

yess!! look up your question before you ask it :))))

thx for the points too hehe

Answer:

3

Step-by-step explanation:

i got it right on my test

Answer:

do pi times diameter divided 8 and you'll get your answer :)

Step-by-step explanation:

so do 3.14 times 26.4 divided 8

Answer:

y= 6x -8

Step-by-step explanation:

Slope-intercept form:

y= mx +c, where m is the gradient and c is the y-intercept.

[tex]\boxed{gradient = \frac{y1 - y2}{x1- x2} }[/tex]

Gradient

[tex] = \frac{4 - ( - 2)}{2 - 1} [/tex]

= 6

y= 6x +c

To find the value of c, substitute the equation with a pair of coordinates.

When x= 1, y= -2,

-2= 6(1) +c

c= -2 -6 (-6 on both sides)

c= -8

Thus, the equation of the line is y= 6x -8.

Answer:

40 gallons of gas

Step-by-step explanation:

Answer:

the answer is the alphabet a

Answer:

22mi

Step-by-step explanation:

Formula: A=2(wl+hl+hw)

h=1mi

l=5mi

w=1mi

Using the formula,

2·(1·5+1·5+1·1)=22mi

Therefore, the surface area of the rectangular prism is 22mi

Answer:

-15

Step-by-step explanation:

2 + (-17) = (-15)

If two integers have different sign, subtract and the result will have the bigger number sign.

17 - 2 = 15  and the bigger number is 17 & sign of 17 is negative. So answer is  (-15)

2 + (-17) = (-15)

If two integers have different sign, subtract and the result will have the bigger number sign.

17 - 2 = 15  and the bigger number is 17 & sign of 17 is negative. So answer is  (-15)

[tex] \tt{ \verified} \: \: \: \: \red{ \checkmark}[/tex]

==================================================

Work Shown:

[tex]y = \frac{4x+30}{x+5}\\\\y = \frac{4x+20+10}{x+5}\\\\y = \frac{(4x+20)+10}{x+5}\\\\y = \frac{4(x+5)+10}{x+5}\\\\y = \frac{4(x+5)}{x+5}+\frac{10}{x+5}\\\\y = 4+\frac{10}{x+5}\\\\[/tex]

Therefore, a = 10

--------------

As an alternative approach, we could work in reverse like this:

[tex]y = 4+\frac{a}{x+5}\\\\y = 4*\frac{x+5}{x+5}+\frac{a}{x+5}\\\\y = \frac{4(x+5)}{x+5}+\frac{a}{x+5}\\\\y = \frac{4(x+5)+a}{x+5}\\\\y = \frac{4x+20+a}{x+5}\\\\[/tex]

Then notice that the 20+a must be 30, so solving 20+a = 30 leads to a = 10

--------------

As yet another alternative approach (well I suppose it's actually 2 extra approaches) we could use either polynomial long division or synthetic division. Either way, you should end up with a remainder of 10, which corresponds directly to a = 10

Answer:

1. Convex 15-gon, Convex 18-gon, Convex 45-gon

2. Increases

3. Decreases

4. Increases

5. Stays the same

Step-by-step explanation:

The formula for finding the measure of an interior angle, θ, of a polygon with 'n' sides is given as follows;

[tex]\theta = \dfrac{(n - 2) \times 180}{n}[/tex]

1. Polygons that have interior angles with whole numbers are factors of 180

The factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, and 180

Therefore, from the options, the polygon that have whole number interior angles are;

15, 18, and 45

Which gives;

Convex 15-gon

θ₁₅ = (15 - 2) × 180°/15 = 156°

Convex 18-gon

θ₁₈ = (18 - 2) × 180°/18 = 160°

Convex 45-gon

θ₄₅ = (45 - 2) × 180°/45 = 172°

2. From the equation of the interior angles of a polygon, [tex]\theta = \dfrac{(n - 2) \times 180}{n}[/tex], we have;

As n increases, (n - 2)/n increases towards 1

Therefore, as the number of sides 'n' of a polygon increases, the interior angle of the polygon increases

3. Given that the sum of the interior and exterior angles of a polygon is 180°, as the interior angles increases as the number of sides increases, the exterior angle decreases

4. The total sum of the angles increases as the number of sides of the polygon increases and decreases as the number of sides of the polygon decreases

5. The sum of the exterior angles of a polygon is given as follows

[tex]n \times (180^{\circ} - \theta) = n \times \left(180^{\circ} - \dfrac{(n - 2) \times 180^{\circ}}{n} \right) = n\cdot 180^{\circ} - n\cdot 180^{\circ} + 360^{\circ}[/tex]

[tex]n \times (180^{\circ} - \theta) = 360^{\circ}[/tex]

Therefore, total sum of the exterior angles of a regular polygon is always (remains the same) 360°.