State if the triangles in each pair are similar. If so, State how you know they are similar and complete the similarity statement.​

Answer:

33

Step-by-step explanation:

2/5x40=16

40-16=24

24+9=33

33 marbles

2/5 is .4

Multiply .4 by 40 to get 16

Subtract 16 from 40 to get 24

Add 9 to 24 to get 33

Hope it helps <3

(If it does, please mark brainliest, only need 1 more to get rank up :) )

Answer:

65

Step-by-step explanation:

45, 50, 52, 58, 62, 68, 72, 78, 81, 95

62 + 68 = 130/2 = 65

The median is 65

Answer:

The median of the data is 65

Step-by-step explanation:

I did it on edge and got it right

Answer:

14.0008 grams of 27% and 7.9992 grams of 52%

Step-by-step explanation:

We know that in the end we want 22 grams of 36.09% copper, meaning in the end we want 36.09% of the 22 grams to be copper. This means we can multiply 36.09% by 22 to see how much copper we want in the end.

To find out how much of each alloy to use, we can multiply the percentage of copper in the alloy be a variable x, which will be how much of that alloy we use. For the other alloy, we can multiply the percentage by (22-x) grams as we know in the end we want 22 grams and if x+y=22, than y would equal 22-x, and in this case this simplifies it to only use a single variable.

Now finally, making the equation we get 27x+52(22-x)=36.09(22). We can solve this and get 27x+1144-52x=793.98, then combine like terms and get -25x+1144=793.98. Next you have to subtract 1144 from both sides to get -25x=-350.02. Dividing both sides by -25 we get x=14.0008. This is how many grams of 27% copper was used. Now we can subtract this from 22 to get how much 52% copper was used, and we get 22-14.0008=7.9992 grams of 52% copper.

Answer:

[tex] c = 77.6 [/tex]

Step-by-step explanation:

You may have entered the measure of a side as the measure of an angle.

[tex] \dfrac{\sin A}{a} = \dfrac{\sin C}{c} [/tex]

[tex] \dfrac{\sin 75^\circ}{150} = \dfrac{\sin 30^\circ}{c} [/tex]

[tex] c\sin 75^\circ = 150 \sin 30^\circ [/tex]

[tex] c = \dfrac{150 \sin 30^\circ}{\sin 75^\circ} [/tex]

[tex] c = 77.6 [/tex]

You are correct. Good job!

Answer:

  f(x) = –x^2 – 12x – 36

Step-by-step explanation:

The parent function, x^2, touches the x-axis at x=0. Translating it 6 units left replaces x with x-(-6) = x+6, so the function is ...

  f(x) = (x+6)^2 = x^2 +12x +36

Reflecting the graph across the x-axis doesn't change the x-intercept, so Heather could be writing ...

  f(x) = -x^2 -12x -36

It's D.

I have to have at least 20 characters.

Answer:

Common denominator - 42

Step-by-step explanation:

6 - 6, 12, 18, 24, 30, 36, 42

7 - 7, 14, 21, 28, 35, 42

Hope this helps! :)

Answer: 25 units

Step-by-step explanation:

Simply do 40(UN)-15(CN) to get 25(UC)

Hope it helps <3

Answer:

Option D is the correct option

Solution,

Here,

UN = 40

CN = 15

Now,

UN = UC + CN

plugging the values,

40 = UC + 15

-UC = 15 - 40

-UC = -25

The difference sign (-) will be cancelled in both sides:

UC = 25

hope this helps...

Good luck on your assignment..

Answer:

5/7

Step-by-step explanation:

We are given two points so we can find the slope by using

m = (y2-y1)/(x2-x1)

    = (15-5)/(21-7)

    =10/14

   5/7

Answer:

[tex]d \approx 2.2[/tex]

Step-by-step explanation:

It is the same process as in previous problems.

Once the origin is the point (0, 0):

[tex]d=\sqrt{(x_{1}-x_{2})^2 + (y_{1}-y_{2})^2}[/tex]

[tex]d=\sqrt{(2-0)^2 + (-1-0)^2}[/tex]

[tex]d=\sqrt{2^2 + (-1)^2}[/tex]

[tex]d=\sqrt{5}[/tex]

[tex]d \approx 2.2[/tex]

Answer:

2.2

Step-by-step explanation:

The distance formula

[tex]\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex] with

[tex]x_1=0\\y_1=0\\x_2=2\\y_2=-1[/tex]

[tex]\sqrt{(0-2)^2+(0-(-1))^2}=\sqrt{2^2+1^2}=\sqrt{5}[/tex]

[tex]\sqrt{5} =2.2360...=2.2[/tex]

Answer:

given,

selling price (sp)=rs 5 ×30

=rs 150

now, gain %=20%

cost price (cp)=

[tex] \frac{sp \times 100}{100 + gain\%} [/tex]

[tex] = \frac{150 \times 100}{100 + 20} [/tex]

therefore cp= rs125

now,

again in 2nd case

sp= rs 27×5

therefore sp=rs 135

and cp= rs125

now, sp>cp so,

[tex]gain\% = \frac{sp - cp}{cp} \times 100\%[/tex]

or, gain=

[tex] = \frac{135 - 125}{125} \times 100\%[/tex]

therefore gain %= 8%.... is answer

hope it helps..

Answer:

C. 2,589.25

Step-by-step explanation:

Salary=$3500

Less:

Federal income withheld

15% of $3500

=15/100×$3500

=$525

Social security tax of 6.2%

6.2% of $3500

=6.2/100 × $3500

=$217

Medicare tax of 1.45%

1.45% of $3500

1.45/100 × $3500

=$50.75

Health insurance premium=$48

Savings plan of 2%

2% of $3500

=2/100 × $3500

=$70

Total less:= $525 + $217 + $50.75 + $48 + $70

Eric's net pay =$3500 - $910.75

=$2,589.25

Answer:

c

Step-by-step explanation:

Answer: G = (19) × (26) × (16)

Step-by-step explanation:

The isomorphism classes of Abelian groups of order 12 are Z₄ ⊕ Z₃ and Z₂ ⊕ Z₂ ⊕ Z₃

SO Let us calculate the orders of some of the elements of G

We have

4² = 16,

4³ = 64

    = 19,

and

4^4 = 19.4

      = 76

      = 31.

furthermore,

4^5 = 31.4

       = 124

       = 34

and

4^6 = 34.4

      = 136

      = 1

Hence, 4 and 34 each have order 6, 16 and 31 each have order 3, and 19 has order 2.

Next, we calculate

11² = 121

    = 31

and

11³ = 11.3

    = 341

    = 26

this is the calculation needed.

26² = 11^6

      = 31³

       = 1

since we already showed that 31 has order 3. This means that 26 has order 2

Since G has two distinct elements of order 2, it cannot be isomorphic to . We conclude

that G = Z₂ ⊕ Z₂ ⊕ Z₃

Finally, we will express as an internal direct product.

The previous calculations show that

(19) = { 1, 19 }

and (26) = { 1, 26 }

are cyclic subgroups of G of order 2 with trivial intersection. We have

(19) × (26) = { 1, 19, 26, 44 }

since

(16) = { 1, 19, 26, 44 }

has trivial intersection with (19) × (26),  conclude that

G = (19) × (26) × (19)

Step-by-step explanation:

Log T = 11.8 + 1.5.M (with T is the amount of energy released by the earthquake, Log refers to the logarithm to the base 10)

-->T = [tex]10^{11.8 +1.5*6.5}[/tex] ≈3.458 *[tex]10^{21}[/tex]

Answer:  2.00 x 10¹⁰⁹

Step-by-step explanation:

log T = 11.8 + 1.5M

Given: M = 6.5

log T = 11.8 + 1.5(6.5)

log T = 11.8 + 9.75

log T = 21.55

      T = 10²¹⁻⁵⁵

      T = 1.995 x 10¹⁰⁹

      T = 2.00 x 10¹⁰⁹       rounded to the nearest hundredth

Answer:

  384.6 ft

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the trig relation involving sides adjacent and opposite the angle. Here, the road distance is adjacent to the angle of depression, and the altitude is opposite. So, you have ...

  Tan = Opposite/Adjacent

  tan(7.5°) = (300 ft)/(distance to car 1)

  tan(9°) = (300 ft)/(distance to car 2)

Solving for the distances, we have ...

  distance to car 1 = (300 ft)/tan(7.5°) ≈ 2278.73 ft

  distance to car 2 = (300 ft)/tan(9°) ≈ 1894.13 ft

Then the separation between the cars is ...

  distance apart = 2278.73 ft - 1894.13 ft

  distance apart = 384.6 ft

Answer:

B.

Step-by-step explanation:

First, notice that we can cancel out an x in the second term. Thus:

[tex]\displaystyle \frac{3x^2}{x^2+x} =\frac{3x^2}{x(x+1)} =\frac{3x}{x+1}[/tex]

As with the last question, change the sign to multiplication and "flip" the second term:

[tex]\displaystyle \frac{2x-1}{x+1}\cdot \frac{x+1}{3x}[/tex]

Multiply straight across:

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

We can cancel the (x + 1) term:

[tex]\displaystyle =\frac{2x-1}{3x}[/tex]

This cannot be simplified further. Hence, our answer is B.

Answer:

It is B)

Step-by-step explanation:

Ap3x Approved

Answer:

a. The distribution of the sample means is normal with mean 190 mm and standard deviation 1.1031 mm.

b. The probability that the average hand length is less than 189 is P(M<189)=0.1823.

c. The third quartile for the average adult male hand length for this sample size is M_75=190.7440.

d. The assumption of normality is not necessary as the sampling distribution will tend to have a bell shaped independently of the population distribution.

Step-by-step explanation:

We have a normal distribution, with mean 190 and standard deviation 7.4.

We take samples of size n=45 from this population.

Then, the sample means will have a distribution with the following parameters:

[tex]\mu_s=\mu=190\\\\ \sigma_s=\dfrac{\sigma}{\sqrt{n}}=\dfrac{7.4}{\sqrt{45}}=\dfrac{7.4}{6.7082}=1.1031[/tex]

The probability that the sample mean is less than 189 can be calculated as:

[tex]z=\dfrac{M-\mu}{\sigma/\sqrt{n}}=\dfrac{189-190}{7.4/\sqrt{45}}=\dfrac{-1}{1.1031}=-0.9065\\\\\\P(M<189)=P(z<-0.9065)=0.1823[/tex]

The third quartile represents the value of the sample where 75% of the data is to the left of this value. It means that:

[tex]P(M<M^*)=0.75[/tex]

The third quartile corresponds to a z-value of z*=0.6745.

[tex]P(z<z^*)=0.75[/tex]

Then, we can calculate the sample mean for the third quartile as:

[tex]M=\mu_s+z^*\sigma_s=190+0.6745\cdot 1.1031=190+0.7440=190.7440[/tex]

The assumption of normality is not necessary as the sampling distribution will tend to have a bell shaped independently of the population distribution.

Answer:

5 5/12

Step-by-step explanation:

you find the common denominator which is 12

2 6/12

8/12

2 3/12

now u add them all

hope this helps

Answer:

5 5/12 cups

Step-by-step explanation:

Answer:

T < -25

Step-by-step explanation:

Was correct on TTM

Answer:

23.14

Step-by-step explanation:

Solve for the area of the figure by dividing it up into parts.  You can divide into a half-circle and a triangle

Half-Circle

The diameter is 6.  This means that the radius is 3.  Use the formula for area of a circle.  Divide the answer by two since you only have a half-circle.

A = πr²

A = π(3)²

A = 9π

A = 28.274

28.274/2 = 14.137

Triangle

The base is 3 and the height 6.  Use the formula for area of a triangle.

A = 1/2bh

A = 1/2(6)(3)

A = 3(3)

A = 9

Add the two areas together.

14.137 + 9 = 23.137 ≈ 23.14

The area is 23.14.

Answer:

Step-by-step explanation:

The figure consists of a semi circle and a triangle

Area of the figure = Area of semi circle + Area of triangle

Area of semi circle is 1/2πr²

where r is the radius

radius = diameter/2

radius = 6/2 = 3

Area of semi circle is

1/2π(3)²

1/2×9π

14.14 sq. units

Area of a triangle is 1/2×b×h

h is the height

b is the base

h is 6

b is 3

Area of triangle is

1/2×3×6

9 sq. units

Area of figure is

14.14 + 9

= 23.14

Which is 23 sq. units to the nearest hundredth

Hope this helps you.

Answer:

8 cm

Step-by-step explanation:

divide 400 by 50 which is 8.

Answer:

Step-by-step explanation:

in x²+y²+2gx+2fy+c=0

center=(-g,-f)

radius=√((-g)²+(-f)²-c)

if center is not changed ,then c will change .

Here only coefficients of  E will change.

Answer:

Parallel!

Step-by-step explanation:

If you put these points on a graph and connect the dots to be two lines, they are perfectly side to side :)

Answer:

44

Step-by-step explanation:

11×4

hope it helped!