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I need help with 4 problems like this...KHAN ACADEMY.

Answer:

40

Step-by-step explanation:

add 80 and 60

subtract 140 from 180

180-140=40

Answer:

62.83

Step-by-step explanation:

10 times 3.14 times 2

Given:

The equation is:

[tex]12=5^x[/tex]

To find:

The logarithmic equation that is equivalent to the given exponential equation.

Solution:

According to the property of logarithm:

[tex]a=b^x\Leftrightarrow \log_b a=x[/tex]

We have,

[tex]12=5^x[/tex]

Here, [tex]a=12,b=5[/tex]. By using the above property of logarithm, we get

[tex]\log_{5}12=x[/tex]

[tex]x=\log_{5}12[/tex]

Therefore, the correct option is C.

Answer:

x=3±√5/2

Step-by-step explanation:

Answer:

8.07, excluding taxes.

Step-by-step explanation:

7x5.99 = 41.93

50-41.93 = 8.07

Answer:

-3.5   <   2.8

7.4   >   -9

Step-by-step explanation:

If you have a negative number and a positive number the positive number is always greater.

When you have a negative number and another negative, the smallest number is greater.

For example: -2.5       -3.7

-2.5 is greater than -3.7 because it is less negative.

-2.5   >   -3.7

When you have a positive number and a positive number, the biggest number is greater.

For example: 8.3       4.2

8.3 is greater than 4.2 because it is a bigger number.

8.3   >   4.2

Answer:

Area of the figure = 171 in²

Step-by-step explanation:

Composite figure given in the picture comprises of three figures, two right triangles and one rectangle.

Area of the composite figure = Area of two right triangles + Area of the rectangle at the center

Area of one right triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                           = [tex]\frac{1}{2}(12)(9)[/tex]

                                           = 54 in²

Area of the rectangle = Length × Width

                                    = 7 × 9

                                    = 63 in²

Area of the composite figure = 2(54) + 63

                                                  = 108 + 63

                                                  = 171 in²

Answer:

5

Step-by-step explanation:

Answer:

5

hope it helped you out

Answer:

The answer is false.

Step-by-step explanation:

A triangle would also be opposite to a angle of property.

Answer:

The answer is 10 foot

Step-by-step explanation:

A square has 4 sides, so technically 40/4 will give you the answer, which is 10.

Answer:

The probability that the result of one die roll is greater than 4 is the number of events in set A divided by the total number of possible outcomes (the size of the sample space S) and so the probability of getting a number greater than 4 on one die roll is  2/6  which reduces to  1/3 .

Step-by-step explanation:

Assuming you mean “greater”, rather than “greater than or equal to”, the “successful” rolls are 5 and 6. That’s two out of six choices, so the probability is 2/6 or 1/3.

It gets more interesting when you want the total of several dice to be above a certain number, or to get that number on M of N dice rolls.

But the two basic probability formulas work - 1) add up all possible successful results and all possible results, then divide the number of successes into the total. 2) Multiply all the failure probabilities together, then subtract the result from 1 (100%) to get the success probability. With these two rules, you can solve most simple probability problems.

Playing D&D, and want to know the chance of scoring a 17 or 18 total when rolling 3 dice? You can only get an 18 one way - 6 6 6. You can get a 17 three ways - 6 6 5, 6 5 6, or 5 6 6. So that’s 4 chances out of 6 x 6 x 6 possibilities, which is 216. That’s about 1.85%. With quite a bit more work, you can discover the chance of getting a 17 or better when rolling 4 dice and adding the 3 highest.

Answer:

B.

Step-by-step explanation:

Perpendicular lines intersect at exactly one point.

(perpendicular lines form an x with right angles)

Answer:

E

Step-by-step explanation:

E

Answer:

Answer is B: (-sqrt(3/2 , -1/2)

Step-by-step explanation:

First convert radians to degrees

theta = (7pi/6)*(180/pi)

=210 degrees

Cos(210 degrees)= -sqrt3/2

Thats the x coordinate

sin(210 degrees)= -1/2

thats the y coordinate

Answer:

The corresponding point on the unit circle for the radian measure is [tex](\frac{\sqrt{3} }{2},\frac{1}{2})[/tex]

Step-by-step explanation:

What is unit circle?

A unit circle is typically drawn around the origin (0,0) of a X,Y axes with a radius of 1.

What is radian measure?

One radian is the measure of a central angle that intercepts an arc s equal in length to the radius r of the circle.

The radian measure is,

α=[tex]\frac{7\pi }{8}[/tex]

Changing to degree measure,

[tex]\frac{7\pi }{6} *\frac{180}{\pi } \\=210^{o}[/tex]

The measure on the unit circle is,

(cos [tex]\alpha[/tex] , sin [tex]\alpha[/tex])=(cos 210 , sin 210)

                    =[tex](\frac{\sqrt{3} }{2},\frac{1}{2})[/tex]

Option A.

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Answer:

m<1 = 48°

m<2 = 132°

m<3 = 132°

m<5 = 48°

Step-by-step explanation:

Given:

m<4 = 48°

Required:

m<1, m<2, m<3, and m<5

Solution:

m<1 = m<4 (alternate exterior angles are congruent)

m<1 = 48° (substitution)

m<2 = 180° - (m<1) (linear pair theorem)

m<2 = 180° - 48° (substitution)

m<2 = 132°

m<3 = m<2 (alternate interior angles are congruent)

m<3 = 132° (substitution)

m<5 = m<4 (corresponding angles are congruent)

m<5 = 48° (substitution)

Answer:

This probaly sounds a little confusing

Step-by-step explanation:

1 day = 10 laps

1 lap = 400 meters

1 km = 1000 meters

12 km = ? days

We can use this information to find out a lot that we don't know.  

HOW MANY METERS PER DAY??

In order to find the number of meters in a day, we think, "She ran 400 meters 10 times... 400 times 10... that's 4000 meters in one day."

1 day = 4000 meters (10 x 400 meters)

HOW MANY KILOMETERS PER DAY?

In order to find the number of km in a day, we can think, "One thousand is a kilo. There are 4 'one thousand's in 4000. Kali ran 4 kilometers (literally 4 thousand meters) per day.  

1 day = 4 km (4000 m / 1000)

From here you can solve simply by thinking "How many 4km does it take to get to 12km?"

4 x ? = 12

? = 12 / 4

? = 3

Answer:

4a) 9n - 3

4b) n = 11

Step-by-step explanation:

3(3n - 1)

9n - 3

9n - 3 = 96

9n - 3 + 3 = 96 + 3

9n = 99

9n ÷ 9 = 99 ÷ 9

n = 11

Answer: B) established a strong, central government

Answer:

The emperor Chandragupta is established a strong, centralized government

Answer:

FV= $2,139.71

Step-by-step explanation:

Giving the following information:

You invest $1,900 at 4% and it's compounded semi-annually (twice a year) for 3 years.

First, we need to calculate the semiannual interest rate:

Semmi-annual interest rate= 0.04 / 2= 0.02

To calculate the future value, we need to use the following formula:

FV= PV*(1 + i)^n

PV= $1,900

i= 0.02

n= 2*3= 6 semesters

FV= 1,900*(1.02^6)

FV= $2,139.71

Answer:

Step-by-step explanation:

We can use Hypotenuse Theorem for this:

For triangle ABC,

AC²=CB²+BA²

9²=CB²+3²

Switch the sides

-CB²=3² -9²

-CB²= 9-81

-CB²= -72

the signs cut each other

CB²=72

the square changes sides

CB=√72

CB= 8.49 cm

Now triangle CBD

We have the length of CB but not the other two whereas we have the angle

It will be sin

As we know sin= O/H

Here O is CB whereas H is CD

Put the values

sin 50= 8.49/H

H= 8.49 ÷sin 50

Calculate

H=11.1 cm

As we know H is CD so CD is 11.1 cm

Hope it helps

Answer:

the answer is c

Step-by-step explanation:

inscribed angles made by same base should be equal

Answer:

1597

Step-by-step explanation:

The quotient and remainder of the polynomial after division are u²+5u-2 and 0 respectively.

A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables.

Given is a polynomial p(u) =u³+3u²-12u+4  which is to be divided by g(u)=u-2

When we divide the polynomial, we get,

Quotient = u²+5u-2

And for this remainder will be zero

Hence, the quotient and remainder of the polynomial after division are u²+5u-2 and 0 respectively.

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Answer: x=133

Step-by-step explanation:

This is a hexagon that has a total of 720 degrees (which you can get by the formula of degrees = (# of sides – 2) * 180).

You first add up all your side:

150+130+97+120+90 +x = 587 + x

587+x = 720

x=133

Answer:

4h^2-6h-7

Step-by-step explanation:

[tex](4h^{2} -h+5) - (8h-3h+12)\\4h^{2} -h+5 - 8h+3h-12\\4h^{2}-9h+3h-7\\4h^{2}-6h-7\\[/tex]

Answer:

The angle type is acute

Step-by-step explanation:

It's smaller than 90 degrees

Answer:

obtuse isosceles

hope it helps

Answer:

72.5 km/h

Step-by-step explanation:

Multiply the km/h by how many hours your going at that speed/total number of hours on trip.

(90x(3.5/8))+(80x(2/8))+(70x(1.5/8))

39.375+20.5+13.125

72.5km/h