Solve log 2x = log,2, 16 using the one-to-one property of logarithms.
A) x= 2
B) x= 4
C) x= 4
D) x = In 8

Answer:

I don't have the right calculator but if you type sin-1(11/60) it'll give you the answer

Answer:

65.36

Step-by-step explanation:

15.2 x 4.3 = 65.36

Answer:

If I say to you that we are travelling along at a "constant" speed of 25 m/s... a. ... So every seem 28 mis covend. b. What does the "m/s" after the number 25 mean? ... The object's motion will change - au acceleration will occur. 9. A car is moving ... c. What do you think a graph of velocity versus time would look like? Sketch it.

Step-by-step explanation:

10.38

i multiplied each number and the answers that i got i added them to get the area

Answer:

loss =Rs 56

Step-by-step explanation:

loss =cp-sp

Given:

The diameter of the wheel is 2 feet.

Number of revolution = 100

To find:

The total distance covered by the bicycle.

Solution:

The circumference of a circle is:

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

Where, r is the radius of the circle.

The diameter of the wheel is 2 feet. So, the radius of the circle is 1 feet.

Putting [tex]\pi =3.14, r=1[/tex] in the above formula, we get

[tex]C=2(3.14)(1)[/tex]

[tex]C=6.28[/tex]

It means the distance covered by the wheel in one revolution is 6.28 feet.

Number of revolution is 100. So, the total distance covered by the wheel in 100 revolution is:

[tex]6.28\times 100=628[/tex]

The total distance covered by the bicycle in 100 revolution is 628 feet.

Therefore, the correct option is B.

Answer:

60 feet from the center.

Step-by-step explanation:

As this it was designed as whispering gallery, and we know the whole length of the hall, and the highness of the ceiling we can use the following expression:

c² = a² - b²   (1)

Where:

c: Length from center to foci.

a: length of half the hall.

b: length of the ceiling.

Replacing the given data into (1) we have:

c² = (130/2)² - (25)²

c = √65² - 500

c = √3600

Hope this helps

Answer:

8 red marbles.

Step-by-step explanation:

All together we have 40 marbles. The fraction of marbles that are red is 1/5 which means that we should divide the total number of marbles, which is 40 by the denominator ( Bottom number of fraction ) 5 so that we get the number of groups that have 1 red marble in them. In this case we have 8 groups.

40/5=8

You always divide by the denominator ( Bottom number of fraction ) first and then you multiply your answer by the numerator ( Top number of fraction ) .

If each group has 1 red marble in it and we have 8 groups, it means that we have 8 red marbles in the bag.

1 * 8 = 8 red marbles in the bag

If the numerator (number above the fraction line) was more than one, then this would mean that we have more than 1 marble in each group of marbles.

Example:

If we had 3/5 we would have 3 marbles in each group of marbles. This means that instead of doing 1 * 8 we would have to do 3 * 8 = 24. We would have 24 red marbles in the bag.

Easy and quick way if you do not need the explanation:

Another way we could do this is by simply multiplying the fraction ( 1/5 ) by the total number of marbles ( 40 ). This would still give us an answer of 8 red marbles in the bag. 40/5=8, 8*1=8

Answer:

(10,85)

Step-by-step explanation:

x=10

y=85

Answer:

its A

Step-by-step explanation:

Answer:

Interval $11 - $15 = 0.2

Step-by-step explanation:

Sum of frequency, Σf = (8+6+4+2+4+6+2) = 32

Relative frequency = f / Σf

Interval :

1 - 5 = 8 / 20 = 0.4

6 - 10 = 6 / 20 = 0.3

11 - 15 = 4 / 20 = 0.2

16 - 20 = 2 / 20 = 0.1

21 - 25 = 4 / 20 = 0.2

26 - 30 = 6 / 20 = 0.3

31 - 35 = 2 / 20 = 0.1

Answer:

Area of a circle = πr^2 if pi here = 3

then (3 × 81) in^2 = 243 in^2

Hope it helps

Answer:

The area of circle is 254.34 in².

Step-by-step explanation:

Given :

To Find :

Using Formulas :

[tex]\star{\small{\underline{\boxed{\sf{\pink{R = \dfrac{D}{2}}}}}}}[/tex]

[tex]\star{\small{\underline{\boxed{\sf{\pink{Area_{(Circle)} = \pi{r}^{2} }}}}}}[/tex]

Solution :

Here we have given that diameter of circle is 18 in. So, finding the radius of circle :

[tex]\implies{\sf{Radius = \dfrac{D}{2}}}[/tex]

[tex]\implies{\sf{Radius = \dfrac{18}{2}}}[/tex]

[tex]\implies{\sf{Radius = \cancel{\dfrac{18}{2}}}}[/tex]

[tex]\implies{\sf{Radius = 9 \: in}}[/tex]

[tex]\star{\underline{\boxed{\sf{\red{Radius = 9 \: in}}}}}[/tex]

Hence, the radius of circle is 9 in.

[tex]\rule{200}2[/tex]

Now, we know the radius of circle is 9 in. So, finding the area of circle by substituting the values in the formula :

[tex]\implies{\sf{Area_{(Circle)} = \pi{r}^{2}}}[/tex]

[tex]\implies{\sf{Area_{(Circle)} = 3.14\times {(9)}^{2}}}[/tex]

[tex]\implies{\sf{Area_{(Circle)} = 3.14\times {(9 \times 9)}}}[/tex]

[tex]\implies{\sf{Area_{(Circle)} = 3.14\times (81)}}[/tex]

[tex]\implies{\sf{Area_{(Circle)} = \dfrac{314}{100} \times 81}}[/tex]

[tex]\implies{\sf{Area_{(Circle)} = \dfrac{314 \times 81}{100}}}[/tex]

[tex]\implies{\sf{Area_{(Circle)} = \dfrac{25434}{100}}}[/tex]

[tex]\implies{\sf{Area_{(Circle)} = 254.34 \: {in}^{2} }}[/tex]

[tex]{\star{\underline{\boxed{\sf{\red{Area_{(Circle)} = 254.34 \: {in}^{2}}}}}}}[/tex]

Hence, the area of circle is 254.34 in².

[tex]\rule{300}{1.5}[/tex]

(A)

Step-by-step explanation:

Multiply both sides by (x + 3)(x - 3)

4(x + 3) + 2 = (x- 3)

4x + 12 + 2 = x - 3

3x = - 17

or

x = -17/3

Answer: 3. 2/3 2. (Just make up a problem with the model). 1. 3/8-2/8= ____(answer)

Step-by-step explanation:

Answer: 6% decrease

Step-by-step explanation:

Answer:

6% decrease

Step-by-step explanation:

Given that,

Initial number of students = 1200

At the end of the year there were 1128 students

We need to find the  percent of  change in enrollment.

Change in enrollment = 1200 - 1128 = 72

The percentage of change is :

[tex]\%=\dfrac{\text{change in students}}{\text{initial students}}\times100\\\\\%=\dfrac{72}{1200}\times 100\\\\=6\%[/tex]

So, there is a decrease of 6% in number of students.

Answer:

Step-by-step explanation:

x-intercept:  Set y = 0 and solve for x:

 0 = mx + b, or mx = -b, or x = -b/m.  x-intercept is then (-b/m, 0)

y-intercept:  Set x = 0 and solve for y:  y = m(0) + b, or y = b.  y-intercept is then

 (0, b).

Answer:

C=2 D=2

SA=

Step-by-step explanation:

Surface Area (SA)= 2(wl+hl+hw)

2(2×5+9×5+9×2)

=146 yards

Answer:

Yes, 9^2+40^2=41^2

Step-by-step explanation:

From the Pythagoras’ theorem, the square of the hypotenuse of a right triangle equals the sum of the squares of the two other sides

From what we have , the side lengths are 9, 40 and 41

As we can see, 41 is the longest side length and that makes it the hypotenuse

The square of the two other sides is 40^2 + 9^2 = 1,681

Also, 41^2 = 1,681

As we can see, the sum of the squares equal the square of the hypotenuse

Since this follows the theorem, we can conclude that the triangle is a right triangle

Answer:

C, Yes, 92+402=412.

Step-by-step explanation:

Answer:

1. y= 3/2x + 8

2. y= 13/11x+12/11

Step-by-step explanation:

Answer:

y = 3/2x + 8 , y = 13/11x + 12/11

Step-by-step explanation:

Answer:

Find the area of the base and multiply it by the height

Step-by-step explanation:

Volume Rectangular Prism = L x W x H

L x W = Area base

So it is Area of base x height

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

15

Step-by-step explanation:

5n = 82 - 7

82 - 7 = 75

75/5 = 15

n = 15

Answer:[tex]h=\sqrt{96}in.[/tex]

Step-by-step explanation:

.

Answer:

[tex](4 i+ 3)(5 - 2i)[/tex]

[tex]= - {8i}^{2} + 20i + 15 - 6i[/tex]

[tex]= - {8i}^{2} + 14i + 15 [/tex]

Answer:

Mark will make $80 if he works an eight-hour shift.

Step-by-step explanation:

For every six hour shift he works, Mark makes $60

This implies that for every hour, he makes $10 ($60/6)

Therefore, for working an eight-hour shift, Mark will make $80 ($10 * 8) or ($60/6 * 8).

We can conclude that Mark's employer pays him $10 per hour.

This hourly rate can be used to work out how much Mark will earn if he works for a month or a year, as the case may be.

Answer:

Congruent Triangles: Remember that in a parallelogram, the diagonals split the parallelogram into two pairs of congruent triangles? Well, in a rhombus, the diagonals split the rhombus into four congruent triangles. Yes, that's right, all four of those little triangles are congruent.

Hope it helps ya mate! please give me brainliest!.ت︎ ت︎

Answer:

3.5 if the 901589 a whole number but 5 if it is supposed to be seperated

Step-by-step explanation:

Answer:

3.5 if the 901589 a whole number but 5 if it is supposed to be seperated

Step-by-step explanation: