In 2010, the number of houses built in Town A was 25 percent greater than the number of houses built in Town B. If 70 houses were built in Town A during 210, how many were built in Town B

Answer:

SAA or AAS

Step-by-step explanation:

∠BAC = ∠BCA   Given

∠BDA = 90° and ∠BDC = 90°   Given

∠BDA = ∠BDC All 90° angles are congruent

BD = DB Reflexive property

ΔADB = ΔCDB   SAA

Answer:

E

Step-by-step explanation:

i guess the dotted lines outline a square

so get the area of the square which is 6×6=36

then don't focus on the shaded part but unshaded you'll see two right angled triangles

[tex]a = 1 \div2b \times h[/tex]

you will get a total for both as 21

then get the area of the square 36-21=15

so the area becomes 15

Answer:

C.  6√5

Step-by-step explanation:

√20 +√80= √4*5 + √16*5 = 2√5 + 4√5 = 6√5

Answer:

A) a=25

B) b=14

Step-by-step explanation:

A) a/5+3=8

First you need to subtract 3 from both sides.

(a/5+3)-3=(8)-3

Then simplify

a/5=5

Multiply both sides by 5

(a/5)*5=(5)*5

Then simplify

a= 25

B )3b/7-1=5

First you need to add 1 to both sides

(3b/7-1)+1=(5)+1

Simplify

3b/7=6

Multiply both sides by 7

(3b/7)*7=(6)*7

Simplify

3b=42

Divide both sides by 3

(3b)/3=(42/3)/3

Simplify

b= 14

(Brainliest???) :P

Answer:

The maximum rectangular area will have the length 400 meters and width 200 meters with one side of the length against an existing building.

Step-by-step explanation:

From the given information;

The perimeter of a rectangle = 2 (L+B)

here;

L = the length of the side of the fence

B = the width of the fence

So; The perimeter of a rectangle = 2L+2B

we are also being told that;

One side of the area will be against an existing building

i.e

The perimeter of a rectangle is now =  L + 2B = 800 meters

L = 800 - 2B

Similarly; Area of a rectangle = L × B

Area of a rectangle = ( 800 - 2B) × B

Area of a rectangle =  800B - 2B²

assuming A(B) to represent the Area;

Then the maximum area A'(B) = 0 ;

Thus,

A'(B) = 800 - 4B = 0

-4B = - 800

4B = 800

B = 200

Therefore; the maximum area have a width = 200 meters and a length 800 - 2(200) =  800 - 400 = 400 meters

Answer:

Below

Step-by-step explanation:

Coterminal angles are angles with same terminal angles

Mathematically speaking these angles should have the same coordinates in a trigonomitrical circle

●●●●●●●●●●●●●●●●●●●●●●●●

Angles like 0° and 360° are coterminal since to we made a spin from 0° to 360°

For two angles A and B to be coterminal they should verify this relation :

A = B + k*360° with k an integer

So A-B = k*360°

●●●●●●●●●●●●●●●●●●●●●●●●

7) :

35° and 395°

395° -35° = 360°

360° is a multiple of 360° so these angles are coterminal

8) :

140° and 860°

860° - 140° = 720°

720° is a multiple of 360°

720 = 360° × 2

9) :

350° and -710°

350 -(-710) = 350+ 710 = 1060°

1060° isn't a multiple of 360°

So these angles aren't coterminal

10) :

130° and -230°

130 -(-230) = 130+230 = 360°

So these angles are coterminal

11) :

30° and -690°

30 -(-690) = 30+ 690 = 720°

720 is a multiple of 360 so these angles are coterminal

12) :

210° and 10°

210-10 = 200

200 isn't a multiple of 360 so these angles aren't coterminal

Answer: 1,300 students went on the trip

Step-by-step explanation: So we know that 65% filled the seats so let's turn that into a fraction.  [tex]\frac{65}{100}[/tex] . Now we know that there are 2,000 seats in total so let's put that into a fraction. [tex]\frac{x}{2,000}[/tex]  The x represents the students that went on the trip.

               [tex]\frac{65}{100} = \frac{x}{2,000}[/tex]  we have to cross multiply

   65(2,000) = 100 (x)

    130,000   =  100 (x)          

    130,000   ÷  100                            

        1,300    =   x          So now we know that 1,300 went to the trip students

Answer:

$39.15

Step-by-step explanation:

We can find that Steve started with $39.15, by adding the price he has now and the price he paid for the pizza.

35.86+3.29=$39.15

Answer:

$39.15

Step-by-step explanation:

$35.86 + $3.29 = $39.15

hOpEfUlLy ThIs HeLpEd!! :33

Answer:

f(x) = 8(x-3)

Step-by-step explanation:

F^ -1 ( x) = x/8 +3

Let y = x/8+3

To find the inverse

Exchange x and y

x = y/8+3

Solve for y

x-3 = y/8+3-3

x-3 = y/8

Multiply each side by 8

8(x-3) = y/8 * 8

8(x-3) = y

The inverse of the inverse is the function so

f(x) = 8(x-3)

Answer:

[tex]\boxed{f(x) = 8(x-3)}[/tex]

Step-by-step explanation:

[tex]y=\frac{x}{8} +3[/tex]

Switch variables.

[tex]x=\frac{y}{8} +3[/tex]

Make y as subject.

Subtract 3 from both sides.

[tex]x-3=\frac{y}{8}[/tex]

Multiply both sides by 8.

[tex]8(x-3)=y[/tex]

Answer:

The coordinates are;

For reflection over the x-axis

A'(-8, 2)

B'(-4, 3)

C'(-2, 8)

D'(-10, 6)

For reflection over the y-axis;

A''(8, 2)

B''(4, 3)

C''(2, 8)

D''(10, 6)

Step-by-step explanation:

When a point (x, y) is reflected over the x, axis, we have;

Coordinates of the pre-image = (x, y)

Coordinates of the image after reflection = (x, -y)

Therefore, for the points A, B, C, D we have;

Pre-image A(-8, -2), Image A'(-8, 2)

Pre-image B(-4, -3), Image B'(-4, 3)

Pre-image C(-2, -8), Image C'(-2, 8)

Pre-image D(-10, -6), Image D'(-10, 6)

When a point (x, y) is reflected over the y, axis, we have;

Coordinates of the pre-image = (x, y)

Coordinates of the image after reflection = (-x, y)

Therefore, for the points A', B', C', D' we have;

Pre-image A'(-8, 2), Image A''(8, 2)

Pre-image B'(-4, 3), Image B''(4, 3)

Pre-image C'(-2, 8), Image C''(2, 8)

Pre-image D'(-10, 6), Image D''(10, 6).

Answer:

a. 25%

b. 55%

c. 35%

Hope it helps you and pls mark as brainliest : )

Answer:

864.36 boxes

Step-by-step explanation:

In the question above, we are given the following values,

Confidence interval 95%

Since we know the confidence interval, we can find the score.

Z score = 1.96

σ , Standards deviation = 15mm

Margin of error = 1 mm

The formula to use to solve the above question is given as:

No of boxes =[ (z score × standard deviation)/ margin of error]²

No of boxes = [(1.96 × 15)/1]²

= 864.36 boxes

Based on the options above, we can round it up to 97 boxes.

Answer:

The answer is below

Step-by-step explanation:

Given that:

The mean (μ) one-way commute to work in Chowchilla is 7 minutes. The standard deviation (σ) is 2.4 minutes.

The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

a) For x < 2:

[tex]z=\frac{x-\mu}{\sigma}=\frac{2-7}{2.4} =-2.08[/tex]

From normal distribution table,  P(x < 2) = P(z < -2.08) = 0.0188 = 1.88%

b) For x = 2:

[tex]z=\frac{x-\mu}{\sigma}=\frac{2-7}{2.4} =-2.08[/tex]

For x = 11:

[tex]z=\frac{x-\mu}{\sigma}=\frac{11-7}{2.4} =1.67[/tex]

From normal distribution table, P(2 < x < 11) = P(-2.08 < z < 1.67 ) = P(z < 1.67) - P(z < -2.08) = 0.9525 - 0.0188 = 0.9337  

c) For x = 11:

[tex]z=\frac{x-\mu}{\sigma}=\frac{11-7}{2.4} =1.67[/tex]

From normal distribution table,  P(x < 11) = P(z < 1.67) = 0.9525

d) For x = 2:

[tex]z=\frac{x-\mu}{\sigma}=\frac{2-7}{2.4} =-2.08[/tex]

For x = 5:

[tex]z=\frac{x-\mu}{\sigma}=\frac{5-7}{2.4} =-0.83[/tex]

From normal distribution table, P(2 < x < 5) = P(-2.08 < z < -0.83 ) = P(z < -0.83) - P(z < -2.08) =  0.2033- 0.0188 = 0.1845  

e) For x = 5:

[tex]z=\frac{x-\mu}{\sigma}=\frac{5-7}{2.4} =-0.83[/tex]

From normal distribution table,  P(x < 5) = P(z < -0.83) = 0.2033

Answer:

The SAS Postulate

Step-by-step explanation:

SAS means Side-Angle-Side; that is, two sides are equal and an angle between those sides are equal. We're given two sides: TK and TL, and we're given that 1 is congruent to 2. Knowing the latter, we can conclude that the angle between them (let's call it 1.5 for our purposes) will be congruent to itself. Since 1.5 is the angle right in the middle of two congruent sides, our answer is SAS.

Answer:

(2, 34 )

Step-by-step explanation:

Since the points vary inversely then half the x, means double the y, thus

(2, 34) or (1, 68 ) would also belong in this inverse variation

Answer:

Below

Step-by-step explanation:

r us the radius of the base and h is the heigth of the cylinder.

The volume of a cylinder is given by the formula:

V = Pi*r^2*h

V/Pi*r^2 = h

We can write a function that relates h and r

Answer:

One of the cylinders is short and wide, while the other is tall and thin.

Step-by-step explanation:

sample answer given on edmentum

Answer:

A, B, E

Step-by-step explanation:

I attached everything that I thought it would help you.

Hope this helps ;) ❤❤❤

Answer:

d

Step-by-step explanation:

Answer: E definition of midpoint

Step-by-step explanation:

Correct on Plato

Answer:

15%

Step-by-step explanation:

Question:

The price of a jacket was slashed from Rs.960 to Rs.816.Then the rate of discount offered is​

Solution

Original price= Rs.960

Discount price= Rs.816

Difference in price=Original price - discount price

=Rs. 960 - Rs. 816

=Rs. 144

Percentage discount= Difference in price / Original price × 100

=Rs. 144 / Rs. 960 × 100

=0.15 × 100

=15%

The percentage discount =15% NOT 10% as you have written

Answer: it is =4176000000000000

Step-by-step explanation:

(2.9)(100000)(7.2)(10^2)

5(10^−8)

=

(290000)(7.2)(10^2)

5(10^−8)

=

2088000(10^2)

5(10^−8)

=

(2088000)(100)

5(10^−8)

=

208800000

5(10^−8)

=

208800000

5(1/100000000)=

208800000/1

20000000

=4176000000000000

hope i helped

-lvr

Answer:

second option

Step-by-step explanation:

Answer:

The correct option is;

[tex]h(x) = \sqrt[3]{x + 2}[/tex]

Step-by-step explanation:

Given that h(x) is a translation of f(x) = ∛x

From the points on the graph, given that the function goes through (-1, 1) and (-3, -1) we have;

When x = -1, h(x) = 1

When x = -3, h(x) = -1

h''(x) = (-2, 0)

Which gives  

d²(∛(x + a))/dx²= [tex]-\left ( \dfrac{2}{9} \cdot \left (x + a \right )^{\dfrac{-5}{3}}\right )[/tex], have coordinates (-2, 0)

When h(x) = 0, x = -2 which gives;

[tex]-\left ( \dfrac{2}{9} \cdot \left (-2 + a \right )^{\dfrac{-5}{3}}\right ) = 0[/tex]

Therefore, a = (0/(-2/9))^(-3/5) + 2

a = 2

The translation is h(x) = [tex]\sqrt[3]{x + 2}[/tex]

We check, that when, x = -1, y = 1 which gives;

h(x) = [tex]\sqrt[3]{-1 + 2} = \sqrt[3]{1} = 1[/tex] which satisfies the condition that h(x) passes through the point (-1, 1)

For the point (-3, -1), we have;

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

Therefore, the equation, h(x) = [tex]\sqrt[3]{x + 2}[/tex] passes through the points (-1, 1) and (-3, -1) and has an inflection point at (-2, 0).

Answer: B

Step-by-step explanation:

Answer:

100= Initial Amount

1/4= decay factor for each week

w= number of weeks

1/4w= decay factor after w weeks

1 - 0.4= decay factor for each week

w= number of weeks

0.4= percent decrease

Step-by-step explanation:

Answer:

B. The horizontal cross-sections of the prisms at the same height have the same area.

Step-by-step explanation:

Notice that the cone and the pyramid have the same volume. This is important.

This follows the Cavalieri's principle that, for the case of 3 dimensions, as the present case, it states, roughly, that if we have two bodies like the cone and the pyramid, and if we have parallel planes crossing each section, and we always have the same area, these two bodies have the same volume.

In this case, both, cone and pyramid have the same volume, then (reciprocally):

B. The horizontal cross-sections of the prisms at the same height have the same area.

Answer:

B. The horizontal cross-sections of the prisms at the same height have the same area.

Step-by-step explanation:

ap333x

Answer:

[tex]3x^2+2x+1[/tex]

Step-by-step explanation:

Sum means to add and second power means that the exponent is "2". So, the expression is:

=> [tex]3x^2+2x+1[/tex]

It cannot be simplified further.

Answer:

6

Step-by-step explanation:

From the table given defining a function, the values of "x" on the table represents the input of the function, which gives us an output, f(x), which can be labelled as "y" in some instances.

Thus, the value of f(0), is simply the output value we would get, given an input value of "0".

So therefore, f(0) = 6. That is, at x = 0, f(x) = 6.

Answer: 6

Step-by-step explanation:

Answer: It represents that 2 will be divided into 3 equal parts.

Step-by-step explanation:

The given fraction : [tex]\dfrac{2}{3}[/tex]

here, Numerator = 2

Denominator = 3

It represents that 2 will be divided into 3 equal parts.

Answer:

$2,500 was invested in the first account while $7,500 was invested in the second account

Step-by-step explanation:

Here in this question, we want to find the amount which was invested in each of the accounts, given their individual interest rates and the total amount that was accorded as interest from the two investments

Now, since we do not know the amount invested , we shall be representing them with variables.

Let the amount invested in the first account be $x and the amount invested in the second account be $y

Since the total amount invested is $10,000, this means that the summation of both gives $10,000

Mathematically;

x + y = 10,000 ••••••(i)

now for the $x, we have an interest rate of 5%

This mathematically translates to an interest value of 5/100 * x = 5x/100

For the $y, we have an interest rate of 6% and this mathematically translates to a value of 6/100 * y= 6y/100

The addition of both interests, gives 575

Thus mathematically;

5x/100 + 6y/100 = 575

Multiplying through by 100, we have

5x + 6y = 57500 •••••••••(ii)

From 1, we can have x = 10,000-y

let’s substitute this into equation ii

5(10,000-y) + 6y = 57500

50,000-5y + 6y = 57500

50,000 + y = 57500

y = 57500-50,000

y = 7,500

Recall;

x = 10,000-y

so we have;

x = 10,000-7500 = 2,500

Answer:

      $5 and 50 units

Step-by-step explanation:

Answer:

m∠B = 60°

b = 26 units

c = 30 units

Step-by-step explanation:

In a right triangle ACB,

By applying Sine rule,

[tex]\frac{\text{SinA}}{a}=\frac{\text{SinB}}{b}=\frac{SinC}{c}[/tex]

m∠A = 30°, m∠C = 90°

m∠A + m∠B + m∠C = 180°

30° + m∠B + 90° = 180°

m∠B = 180° - 120°

m∠B = 60°

Therefore, [tex]\frac{\text{Sin30}}{15}=\frac{\text{Sin90}}{c}=\frac{\text{Sin60}}{b}[/tex]

[tex]\frac{1}{30}=\frac{\text{Sin90}}{c}=\frac{\text{Sin60}}{b}[/tex]

[tex]\frac{1}{30} =\frac{1}{c}=\frac{\frac{\sqrt{3}}{2}}{b}[/tex]

[tex]\frac{1}{30}=\frac{1}{c}=\frac{\sqrt{3}}{2b}[/tex]

[tex]\frac{1}{30} =\frac{1}{c}[/tex] ⇒ c = 30 units

[tex]\frac{1}{30}=\frac{\sqrt{3}}{2b}[/tex]

b = 15√3

b = 25.98

b ≈ 26 units