convert the angle =100 degrees to radians

Answer: B) -8/9

Step-by-step explanation:

I would start by looking inside the parenthesis to see if anything could be simplified. We see the terms -5 and -3x, and upon realizing that there is no way to simplify, we can go ahead and just simplify the left side of the equation as much as we can before worrying about breaking the equation down. Distribute the -9 to the -5 and the -3x (multiply -9 by -5 and -9 by -3x). Multiplying two negative numbers will result in a positive value, so the left side of your equation should end up looking like this: 45+27x=21. Now, we can start working to get the variable on its own. Subtract 45 from both sides of the equation. On the left side this cancels out and leaves you with 27x. On the right side you have more of the negative value than positive value, so you end up with -24. The equation now looks like this: 27x=24. The only thing left to do is divide the equation by 27. On the left side of the equation, this leaves you with just x. On the right side, you get -24/27. Normally at this point I would divide out to get the decimal form (I prefer working with decimals) but bc the answer choices are all fractions there's not really a good use to, so instead let's just find the greatest common denominator (GCD) which would be 8. (Just as a clarification the GCD is the largest number you can divide both numbers by evenly.) Divide both the numerator and denominator by eight leaves you with -8/9. Therefore, x= -8/9.

Answer:

a=14

Step-by-step explanation:

if a=10, 10/2 = 5 plus 9 = 14

Answer:

The anwer is 14

Step-by-step 1explanation:

10/2= 5 and 5 plus 9 is 14

Answer:

[tex]7n-6, \: 4n+8[/tex]

Step-by-step explanation:

[tex]+7[/tex] difference.

So it becomes [tex]7n[/tex].

[tex]7(1)+c=1[/tex]

[tex]c=-6[/tex]

Therefore, the nth term becomes:

[tex]7n-6[/tex]

[tex]+4[/tex] difference.

So it becomes [tex]4n[/tex].

[tex]4(1)+c=12[/tex]

[tex]c=8[/tex]

Therefore, the nth term becomes:

[tex]4n+8[/tex]

Answer:

a) 7n-6

b) 4n+8

Explanation:

a) 7 times tables but take away 6 for the start

b) 4 times tables but add 8 for the start

Answer:

Yes

With an extra 3000CHF

Step-by-step explanation:

In year 2005, the exchange rate was 1$ = 1.15CHF

The student came in with $20,000.

The amount he had in CHF(swiss franc) = ?

$1 = 1.15C

$20,000 = x CHF

X = (20000 × 1.15) / 1

X = 23,000CHF

When he came to Zürich in 2005, he has 23,000 swiss franc.

But the exchange rates changed in 2006 to C1.30 against the dollar.

$1 = 1.30CHF

$20,000 = xCHF

X = 26,000CHF

In 2006, he would've had 26,000CHF.

The difference between what he would've had in 2006 against 2005 is

26,000CHF - 23,000CHF = 3000CHF

He would've had an extra 3000CHF if he came in the year 2006.

Answer: 4.64%

[tex]\dfrac{\text{female research scientist}}{\text{female total}}=\dfrac{103}{2219}=0.0464\quad =\large\boxed{4.64\%}[/tex]

Answer:

Irrational

Step-by-step explanation:

[tex]7\sqrt{3}+2\sqrt{9}= \\\\7\sqrt{3}+2(3)= \\\\6+7\sqrt{3}[/tex]

Therefore, this is irrational. Hope this helps!

Answer:

3280cm²

Step-by-step explanation:

We are told the gift box is folded into a Pyramid with a square base.

Hence, we are to find the Surface Area of a square pyramid

From the question, we are given:

Length of the base of the square = 10cm

Triangle

Side length = 10cm

Height = 8 2/3 cm

A square Pyramid has 5 faces: 4 triangles and 1 square.

Step 1

Find the Area of the square

Formula = Side length² this is because all the side of a square is equal.

Length of the base = 10cm

Area of the square = (10cm)²

= 100cm²

Step 2

Find the Area of the triangle. We are told the 4 triangles are equilateral, which means their side are equal.

Hence, for one triangle.

Area of a triangle = 1/2 × base × height

Base = side length = 10cm

Height = 8 2/3 = 8.6666666667cm

Area of a triangle = 1/2 × 10 × 8.6666666667

Area of a triangle = 43.333333333cm²

Since we have 4 triangles

We would have : 4 × 43.333333333cm²

= 173.33333333cm²

The Area of the 4 equilateral triangles =

173.33333333cm²

Step 3

The Surface area of the Square Pyramid

= Sum of the areas of all the faces.

= 100cm² + 173.33333333cm²

= 273.33333333cm²

Therefore, the minimum amount of cardboard needed to make one gift box = 273.33333333cm²

Step 4

The minimum amount of cardboard Holly needs to create 12 gift boxes to wrap each pair of earrings individually is calculated as: 12 × 273.33333333cm²

= 3280cm²

Answer:

B

Step-by-step explanation:

A = 1/2π  * r²

A/(1/2π) = r² (Divide by 1/2π)

r = √(2A/π) (Take the square root of both sides then simplify)

Answer:

B. r=[tex]\sqrt{\frac{2A}\pi}}[/tex]

Step-by-step explanation:

First multiply both sides by 2. This gives us 2A=[tex]\pi[/tex]r². Now, divide both sides by [tex]\pi[/tex]. Now we have [tex]\frac{2A}{\pi}[/tex]=r². Now, square root both sides. The final answer is r=[tex]\sqrt{\frac{2A}{\pi}}[/tex]

Step-by-step explanation:

There are many different ways to simplify this. It could be

3(w-2)+4u , 2(2u-3)+3w , or something else.

Answer:

Its a sequence question so, you have to find the nth term.

Step-by-step explanation:

If there are 5 more seats, and first value is 12, then:

nth terms = 5n + 12

Try substituting n with 1 to check

Hope this helps

Answer:

- 3

Step-by-step explanation:

Calculate the gradient (slope) m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 5, - 2) and (x₂, y₂ ) = (- 3, - 8)

m = [tex]\frac{-8-(-2)}{-3-(-5)}[/tex] = [tex]\frac{-8+2}{-3+5}[/tex] = [tex]\frac{-6}{2}[/tex] = - 3

Answer:

2nd graph from top

Step-by-step explanation:

a/ -5 ≥ 10

Multiply each side by -5, remembering to flip the inequality

a/-5 *-5 ≤ 10*-5

a ≤ -50

closed circle at -50 line going to the left

Answer:

21 7/8 is choclate

1/2 or 2 is vanilla

1/8 is strawberry

Step-by-step explanation:

1/2 x 4 is is 2

1/8 < 2

2 of the cupcakes (into eights) are vanilla from which a dominatorof 8

2 plus 1/8 is 2 1/8

24 - 2 1/8 is 21 7/8

Answer:

The measure of variability should be used.

Step-by-step explanation:

It is provided that Rickie played eight rounds of miniature golf in June and eight rounds of miniature golf in July. He recorded the cores for each round.

Now to determine in which month Rickie's score varied the most the measure of variability would be used and not measure of center.

This is because:

The Measures of Central tendency is a distinct value that describe a data set by recognizing the central location within that data set. The measures of central tendency are every so often are known as measures of central location. They are also known as summary statistics.

Whereas the measure of variability is used to determine the amount of variability in the data set. They represent how far the observations are from the center of the data set.

Thus, to answer his mother's question, the measure of variability should be used.

Answer:

a) [tex]\frac{d-5.50}{0.45}[/tex]

b) The inverse function is a reflection of the original function across the line

y = x. For example, if the function f applied to an input x gives a result of y, then applying its inverse function g to y gives the result x. So you would use it to find the x-value at a y just like you use the original to find the y value at an x.

Step-by-step explanation:

To do an inverse of a function you first switch the independent variable (d) and the dependent variable (c).

d = 0.45c + 5.50

Then you solve for c

d - 5.50 = 0.45 c

c = (d-5.50)/0.45

Answer:

I will answer this in English.

a) here you written 208 = (2^6)*3, while in the table you can see 5 times the number 2 and 2 times the number 3, this means that:

208 = 2^5*3^2

then we would have:

√208 = √(2^5*3^2) = 3*2*√2 = 6*√2

b) This time is correct that:

1568 = 2^5*7^2

but the simplification in the square root is not correct. (√(2^5) is not equal to 2^2)

as √(2^5*7^2) = √(2*2^4*7^2) = 2^2*7*√2 = 4*7*√2 = 28*√2

Answer:

the answer is

3a/2

Step-by-step explanation:

1/2 × 3a = 3a/2

Step-by-step explanation:

1/2 times 3a=3a/2

hence one and a half a, or 1 and 1/2a

Answer:

graph c

y= 3/2 x² +4x-2 would be graphed on the left side of the graph and the vertex would be just a little more than -4

Answer:

127.235cm^2

Step-by-step explanation:

A = πr²/2 = 40.5 * π [cm²] ≈ 127.235 [cm²]

Answer:

[tex]127.251 {cm}^{2} [/tex]

Step-by-step explanation:

[tex] \frac{180}{360} \times \pi {r}^{2} \\ \frac{1}{2} \times 3.142 \times 9 \times 9 \\ = \frac{254.502}{2} \\ = 127.251 {cm}^{2} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

1,2,3,4,5,6,7,8,9,10,11

3 + 7 + 11 + 15 + 19 + 11

10 + 26 + 19 + 11

55 + 11 = 66

11 stations

Hope this helps

Step-by-step explanation:

Answer:

11 stations.

Step-by-step explanation:

1st stop = 1

2nd stop 1+2=3

3rd stop 3+3=6

4th stop 6+4=10

5th stop 10+5=15

6th stop 15+6=21

7th stop 21+7=28

8th stop 28+8=36

9th stop 36+9=45

10th stop 45+10=55

11th stop 55+11=66

Answer:

To answer this question you need to x and y

Step-by-step explanation:

Answer:

To find angle x we must first find y

For angle y

Angles on a straight line add up to 180°

56 + 51 + y = 180

y = 180 - 56 -51

y = 73°

Now for angle x

Angles in a triangle add up to 180°

y + x + 72 = 180

y = 73°

73 + x + 72 = 180

x = 180 - 73 -72

x = 35°

Therefore angle x is 35°

Hope this helps.

First, it's worth noting that angles on a straight line sum to 180°. We can use this information to find out the value of y:

180-52-59=69

y=69°

Another rule is that the angles in a triangle sum to 180° as well. This means that we can now find out x:

63+y+x=180

63+69+x=180

180-63-69=x

x=47°

Answer:

motorcycle A: 180 km/h

motorcycle B: 200 km/h

Step-by-step explanation:

To solve this question we need to write a system of equations for A and B, using the equation:

distance = speed * time

The speed of A is 20 less than the speed of B, so:

speedA = speedB - 20

And the time A traveled is 3 minutes (0.05 hours) more than B's time, so:

timeA = timeB + 0.05

Then, using the distance equation, we have that:

distanceB = speedB * timeB

90 = speedB * timeB

distanceA = speedA * timeA

90 = (speedB - 20) * (timeB + 0.05)

90 = speedB * timeB + 0.05 * speedB - 20*timeB - 1

90 = 90 + 0.05 * speedB - 20*timeB - 1

20*timeB = 0.05 * speedB - 1

timeB = (speedB - 20)/400

using this timeB in the distance equation, we have:

90 = speedB * (speedB - 20)/400

90 * 400 = speedB^2 - 20*speedB

speedB^2 - 20*speedB - 36000 = 0

Solving this quadratic equation, we have speedB = 200 km/h

And the speedA is:

speedA = speedB - 20 = 200 - 20 = 180 km/h

Answer:

[tex]r=\frac{44}{\pi }[/tex]

Step-by-step explanation:

[tex]88=2\pi r[/tex]

[tex]\mathrm{Switch\:sides}\\2\pi r=88\\\frac{2\pi r}{2\pi }=\frac{88}{2\pi }\\r=\frac{44}{\pi }\\or\\r=14.00563[/tex]

Answer:

2 metres

Step-by-step explanation:

Circumference = 2 × π × r

→ Substitute in the values

88 = 2 ×  [tex]\frac{22}{7}[/tex]  × r

→ Divide both sides by 2 to isolate  [tex]\frac{22}{7}[/tex]  and r

44 =  [tex]\frac{22}{7}[/tex]  × r

→ Multiply everything by 7 to get rid of the fraction

308 = 22 × 7r

→ Divide the equation by 22 to isolate 7r

14 = 7r

→ Divide the equation by 7 to isolate r

2 = r

The radius of the circle with a circumference of 88 meters is 2 metres

a= 34 degrees

b= 28 degrees

c= 62 degrees

Step-by-step explanation:

First you know that b is 1/2 of 56 degrees or 28.

The triangle with the a in it is isoceles because the two sides are both radii.

In the triangle the top angle = 112 because it is a centeral angle to the 112 arc.

Angle a and opposite to a are equal and then have to be 34 degrees to equal 180.

We know two arc lengths are 112 and 56 and the one with angle a has to be 34x2 or 68.

a whole circle equals 360.

360-56-68-112 = 124

Angle c = 1/2 of 124, or 62 degrees

Answer:

The vertical angles theorem

Step-by-step explanation:

The Vertical Angles Theorem states that vertical angles, angles that are opposite each other and formed by two intersecting straight lines, are congruent.

Angles ∠JKN and ∠MKL fit the criteria of the vertical angles theorem, meaning they are congruent.