Ruby is ordering some pizza! She has to pay for the cost of the pizza plus the cost of the delivery fee(cost per minute that it takes a the delivery driver to get to her house). The pizza cost $12, and it took 10 minutes for the delivery driver to get there. In total, she has to pay $15

Answer:

Step-by-step explanation:

take 30 degree as reference angle

using cos rule

cos 30=adjacent/hypotenuse

[tex]\sqrt{3}[/tex]/2=7[tex]\sqrt{3}[/tex]/y(do cross multiplication)

14[tex]\sqrt{3[/tex]=y[tex]\sqrt{3}[/tex]

14[tex]\sqrt3}[/tex]/[tex]\sqrt{3}[/tex]=y

14=y

for x

using pythagorsa theorem

H^2=P^2+B^2

14^2=X^2+(7[tex]\sqrt{3}[/tex])^2

196=X^2+147

196-147=X^2

49=X^2

[tex]\sqrt{49}[/tex]=X

7=X

Answer:

The convergent series are;

[tex]\sum \limits _{n = 1}^\infty \left( \dfrac{1}{5} \right) ^n[/tex]

(And)

[tex]\sum \limits _{n = 1}^\infty \left( \dfrac{1}{10} \right) ^n[/tex]

Step-by-step explanation:

A series in mathematics is the sum of a sequence of numbers to infinity

A convergent series is a series that sums to a limit

From the given options, we have;

First option

[tex]\sum \limits _{n = 1}^\infty \dfrac{2\cdot n}{n + 1}[/tex]

As 'n' increases, 2·n becomes more larger than n + 1, and the series diverges

Second option

[tex]\sum \limits _{n = 1}^\infty \dfrac{n^2 - 1}{n - 2}[/tex]

As 'n' increases, n² - 1, becomes more larger than n - 2, and the series diverges

Third option

[tex]\sum \limits _{n = 1}^\infty \left( \dfrac{1}{5} \right) ^n[/tex]

As 'n' increases, [tex]\left( \dfrac{1}{5} \right) ^n[/tex], becomes more smaller and tend to '0', therefore, the series converges

Fourth option

[tex]\sum \limits _{n = 1}^\infty \left( \dfrac{1}{10} \right) ^n[/tex]

As 'n' increases, [tex]3 \times\left( \dfrac{1}{10} \right) ^n[/tex], becomes more smaller and tend to '0', therefore, the series converges

Fifth option

[tex]\sum \limits _{n = 1}^\infty \dfrac{1}{10} \cdot (3) ^n[/tex]

As 'n' increases, [tex]\dfrac{1}{10} \cdot (3) ^n[/tex], becomes more larger and tend to infinity, therefore, the series diverges.

Answer:

C and D

Step-by-step explanation:

Edge 2021

[tex] \sqrt{625} [/tex]

[tex] \sqrt{25 \times 25} \\ \\ = 25[/tex]

Hope This Helps You

Answer:

C

Step-by-step explanation:

Don't worry about the volume to start with. Just look at the area of the top or bottom.

The hole has a 4 inch diameter

d = 4

r = d/2

r = 2

Area = pi r^2

Area = pi * 2^2

Area = 4 pi

Now find the area of the top (or bottom) if the circle was not there.

L = 8

W = 6

Area = L * W

Area = 8 * 6

Area = 48

Now take away the area of the circle.

Area Top = 48 - 4 * pi

Area Top = 48 - 12.56

Area Top = 35.44

Finally, Find the volume

Volume = area of the top * height

Volume = 35.44 * 15

Volume = 531.6

Answer:

1) 69 2) 69 3) 60 4) 60 5) 51

Step-by-step explanation:

Triangles have 180 degrees interior and 360 degrees exterior. Knowing this you add all the values within a triangle and subtract it from 180 to find the missing degrees.

For the purple, the green is supplementary which means the other angle will help it equal 180 degrees. the missing green angle is 38. 38+82=120 and 180-120=60. because of vertical angles, angle 2 is 69 and angle 4 is 60. this makes 129 so 180-129=51.

Hope this helps you in some way. if not, sorry i failed you.

Answers

Be sure to use the actual degree symbol instead of typing in "degrees" after each number.

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

Explanation:

To find angle 1, we can use the remote interior angle theorem. The yellow angles you've highlighted (46 and 65) add up to the measure of angle 1, which is an exterior angle. So angle 1 is 46+65 = 111 degrees

The slightly longer method is to make x be the missing angle of the left-most triangle. Solve x+46+65 = 180 to get x = 69 degrees. Then note how angle x and angle 1 are supplementary, meaning x+(angle1) = 180 leads to angle 1 = 111 degrees (because 180-69 = 111)

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Angle 2 is 69 degrees since angle x = 69, which is a vertical angle to angle 2. Or you could note that angle 1 and angle 2 are supplementary

(angle1)+(angle2) = 180

(111)+(angle2) = 180

angle2 = 180-111

angle 2 = 69 degrees

This method is used to prove the vertical angles theorem is always true.

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

Angle 3 can be found using the remote interior angle theorem, but we'll be going in reverse this time. Let y be the measure of angle 3

y+82 = 142

y = 142-82

y = 60

angle 3 = 60 degrees

Like with angle 1, there's also a slightly longer method that follows the same idea as before. If you follow this method, you'll need to find the missing piece of the green angle you highlighted (which his 180-142 = 38 degrees), then use the idea that A+B+C = 180 where A,B,C are the three interior angles of any triangle.

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

Angle 3 and angle 4 are vertical angles, so they are always congruent and angle 4 is also 60 degrees

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

Let z = measure of angle 5

Focusing on the smaller triangle in the middle, we can say,

(angle2)+(angle4)+(angle5) = 180

(69) + (60) + (z) = 180

z+129 = 180

z = 180-129

z = 51

angle 5 = 51 degrees

Answer:

A = 864 m^2

Step-by-step explanation:

For a rectangle of length L and width W, the area is given by:

A = W*L

We know that the park has:

L = 60m

W = 40m

Now, if we surround the whole park with a path that is 4m wide, then the rectangle made by the park and the path has the dimensions:

L' = 60m + 2*4m

W' = 40m + 2*4m

(as you can see in the sketch at the end)

The area of the path will be equal to the difference between the area of the rectangle made of the park + the path, and the area of the park alone.

This is:

A = L'*W' - *W

A = ( 60m + 2*4m)*(40m + 2*4m) - 60m*40m

A = 68m*48m - 60m*40m

A = 864 m^2

Answer:

45°

Step-by-step explanation:

(180-90)/2 = 90/2 = 45°

The answer is 45°.

Step-by-step explanation:

Hey there!

Since it is an isoceles triangle two angles must be equal.

Also, one angle is 90°. To find other angles, let's suppose one angle as "X", then next angle is also "X". {Since it is an isoceles triangle}.

Then;

x+x+90° = 180° { Sum of interior angles of a triangle is 180°}

or, 2x + 90° = 180°

or, 2x= 180° - 90°

or, 2x = 90°

or, X= 90°/2

or, X=45°.

Therefore, the other angles are 45° and 45°.

Hope it helps!

Answer:

Step-by-step explanation:

It's the graph on the left. First of all, range is a y-value thing (as opposed to an x-value thing). If we "read" that range from left to right, we have to begin our range interval at -∞, which actually has no beginning, and end our range interval at 0. The graph on the left goes does into infinity and maxes out at 0. (The one on the right starts at 0 and goes up into +∞).

[tex]_____________________________________[/tex]

Akala ko ako lang Pilipino dito

[tex]_____________________________________[/tex]

Answer:

C

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos24° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{10}[/tex] → C

Note

sin24° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{4}{10}[/tex] ( which does not include x )

tan24° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{4}{x}[/tex] ≠ [tex]\frac{x}{4}[/tex]

36cm³

Step-by-step explanation:

Volume= mass

density

Answer:

let x represent the number

7x-8=20

7x=20+8

7x=28

x=28/7

x=4

this is the correct answer

Answer:

7x-8=20         or          x=4

Step-by-step explanation:

Let's say the certain number is x

7x-8=20

Add 8 on both sides:

7x-8+8=20+8

Simplify:

7x=28

Divide 7 on both sides:

[tex]\frac{7x}{7}[/tex]=[tex]\frac{28}{7}[/tex]

Simplify:

x=4

Answer:

C. 120°

Step-by-step explanation:

length of arc = 4π cm

r = 6 cm

central angle = s/r

=> central angle = 4π/6

=> central angle = 2π/3 radians

In degrees,

central angle = (2π/3)(180/π) = 120°

hope this helps and is right. p.s i really need brainliest :)

Answer:

SAS

Step-by-step explanation:

Given:

The function is:

[tex]y=2x^2+3x[/tex]

Domain is the set {-2, -1, 0).

To find:

The range of the given relation.

Solution:

We have,

[tex]y=2x^2+3x[/tex]

Substituting [tex]x=-2[/tex], we get

[tex]y=2(-2)^2+3(-2)[/tex]

[tex]y=2(4)+(-6)[/tex]

[tex]y=8-6[/tex]

[tex]y=2[/tex]

Substituting [tex]x=-1[/tex], we get

[tex]y=2(-1)^2+3(-1)[/tex]

[tex]y=2(1)+(-3)[/tex]

[tex]y=2-3[/tex]

[tex]y=-1[/tex]

Substituting [tex]x=0[/tex], we get

[tex]y=2(0)^2+3(0)[/tex]

[tex]y=0+0[/tex]

[tex]y=0[/tex]

The range for the given relation is {2, -1,0}. Therefore, the correct option is (c).

Answer:

7 x − y = 17

Step-by-step explanation:

Apply the distributive property.

y + 3 = 7 x+ 7 ⋅ − 2

Multiply  7  by  − 2 .

y + 3 = 7x − 14

Rewrite the equation with the sides flipped.

7 x − 14 = y + 3

Move all terms containing variables to the left side of the equation.

Subtract  y  from both sides of the equation.

7x−14−y=3

Move -14.

7x−y−14=3

Step-by-step explanation:

Answer:

41.1 feet of ribbon was leftover

(fraction form: 41 1/10)

Step-by-step explanation:

122 1/2 = 122.5

32 2/5 = 32 4/10 = 32.4

122.5 x 0.4 = 49

122.5 - 49 = 73.5

73.52 - 32.4 = 41.1

41.1

Answer:

Step-by-step explanation:

40% of 122.5 [tex](122\frac{1}{2})[/tex] is 49.

Equation: y=p%·x

p=40% x=122.5

Solve the equation for y.

y=p%·x

y=40%·122.5'

Converting percent to decimal.

p = 40%/100 = 0.4

y=0.4·122.5

y=49

[tex]49-32\frac{2}{5}[/tex]

[tex]49-\frac{162}{5}[/tex]

[tex]\frac{83}{5}[/tex]

[tex]16\frac{3}{5}[/tex]

Answer:

Exactly [tex]16\frac{3}{5}[/tex] feet of ribbon remains.

Answer:

(B-P) / Pz  = r

Step-by-step explanation:

B = P + Prz

Subtract P from each side

B-P = P -PPrz

B-P = Prz

Divide each side by Pz

(B-P) / Pr  = Prz/Pz

(B-P) / Pz  = r

Answer:

I only know these, I am not sure of the answers too.

Step-by-step explanation:

Types of angles : 20°(acute angle), 90°(right angle)

Key information :

Equation : 20° + x° = 90°

Solution : x = 70°

Answer:

a=-1 goes to the third graph (because it's negative so obviously it's a sad smile)

a=1 goes to the first graph

a=0.25 goes to the second graph

Step-by-step explanation:

The smaller the value of a, the wider the the parabola would be. If the value of a is large then the parabola becomes smol

Answer:

-7 and 1 multiply to 7 and add up to -6

Step-by-step explanation:

-7 and 1 multiply to 7 and add up to -6

Answer:

90

Step-by-step explanation:

Answer:

LITERALLY THESE WORDS: Because it goes up 8 and over 15

Step-by-step explanation:

if the goes up 8 and over 15 that has to be the slope.

I hope this helps even though its probably not :)

Answer:

h= x/ x+4

Step-by-step explanation:

Move all terms to the left side and set equal to zero, Then set each factor equal to zero.

Answer:

48 flowers

Step-by-step explanation:

Since, the ratio of tulips to daisies are the same.

Hence, if we have x number of daisies, then the number of tulips will also be x.

Therefore, with number of tulips being 21 and equal ratio of daisies will also mean that Anna has 21 daisies .

The total number of flowers will be :

Number of tulips + Number of daisies

21 + 21 = 42 flowers

Answer:

A

Step-by-step explanation:

Median can be described as the number that occurs at the middle of a set of observations.

for example, in the set of numbers, 1 2 3 4 5, the median is 3

median = (first number + last number) / 2

If there are 29 students,

median = (1 + 29) / 2 = 30/2 = 15

the 15th students scored 84

and students between 1 - 14 scored lower than 84

so, 15 students scored an 84 or lower

Answer:

The  answer is (15)²= (9)²+(BC)²

225=81+(BC)²

BC=√144

BC=12

They also have a pdf for it

copy and paste this pdf it should help you mepanswers.pdfStep-by-step explanation:

Answer:

  2.  (b) ∠ZYX

  3.  (b) noncollinear

Step-by-step explanation:

2. An angle is named by naming the two rays that make it up. The vertex (common end point of the two rays) is named in the middle.

Here, the rays making the angle are YX and YZ. The angle could be named either ∠XYZ or ∠ZYX.

__

3. Points not on the same line are noncollinear. Point E does not lie on line AB, so points A, B, and E are noncollinear.