Everyone learns differently. Some people like to use models and tools to help them learn math concepts. Many people like to use a combination of these strategies. What tools and strategies do you use to help yourself learn new ideas in math?

Answer:

60°

Step-by-step explanation:

360 - ( 80+115+10) = 60°

Answer:

The answer is 5.5 because half of 11 is 5.5 and diameter is half of circumference.

Answer:

5.5

Step-by-step explanation:

diameter=11

radius = diameter÷2

r=11÷2

radius=5.5

Answer:

y =   35°

z =  90°

Step-by-step explanation:

the angle labeled as 35° and the angle labeled as 'y' are alternate-interior angles and are congruent

therefore, y = 35°

the third angle of the triangle on the left is 180-(90+35) = 55

therefore, this angle is vertical with the angle opposite it which is also 55°

to find 'z', you can add the two known angles of 55 and 35 and subtract the sum from 180 to get 90°

Area = ( lengths )^2

676 = ( lengths )^2

lengths = √676

lengths = 26 cm

Answer:

t + c = 623

t = c + 135

thomas has 379 songs downloaded, and carl has 244

Step-by-step explanation:

togheter they have 623 songs, aka the sum of thomas (t) and carl (c) is 623.

t + c = 623

thomas has 135 more than Carl. so Carl plus 135 is equal to thomas

t = c + 135

now you can solve it:

t + c = 623

(c+135) + c = 623

c + c = 488

2c = 488

c = 244

carl has 244 songs downloaded

t  + 244 = 623

t = 379

thomas has 379 songs downloaded

The system of equations represents t + c = 623 and t = c + 135 and Tomas has 379 while Carl has 244 downloaded.

An equation can be defined in numerous ways. Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions.

As per the given,

Together they have 623 songs downloaded.

t + c = 623

Tomas has 135 more songs downloaded than Carl.

t = c + 135

By substitution,

c + 135 + c = 623

2c = 488

c =244

And , t = 244 + 135 = 379

Hence "The equations in the system show that Tomas has 379 while Carl has 244 downloaded and that t + c = 623 and t = c + 135 are represented".

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Answer:

Step-by-step explanation:

I am going off of the fact that the radius is 10; you didn't specify what the 10 was, exactly, and that's extremely important!

The volume of a sphere is

[tex]V=\frac{4}{3}\pi r^3[/tex] Filling in what we were given from the problem,

[tex]V=\frac{4}{3}\pi(10)^3[/tex] so

V = 1333.33π inches cubed

If the diameter is 10 and the radius is 5:

[tex]V=\frac{4}{3}\pi(5)^3[/tex] and the volume then is

V = 166.67π inches cubed

Answer:

15

Step-by-step explanation:

miranda - 2x5=10

trudy - 5x5=25

25-10=15

Answer:

Step-by-step explanation:

The important thing to remember here is that the number of plates is a different equation from the one that uses the diameter of the plates. The number of plates will make up one equation; the diameter of the plates will make up the other equation. As far as the number of plates go, we have 15 total. Let's call the 9" plates x and the 12" plates y according to the instruction given. If we have a mixture of 9 and 12 inch plates and we have a total of 15 plates, the first equation regarding the number of plates is

x + y = 15

Now on to the diameters. The 9" plates are x's and the 12" plates are y's and the inches refer to the diameter, of which the total is 150". Therefore, the second equation regarding the diameter of the plates is

9x + 12y = 150

Those 2 equations make up the system. It doesn't say you have to solve it, but if you did, you would find that there are 10 9" plates and 5 12" plates in the cabinet.

Answer:

[tex](g + f)(2) = \sqrt 3 - 3[/tex]

[tex](\frac{f}{g})(-1) = 0[/tex]

[tex](g + f)(-1) = \sqrt{15}[/tex]

[tex](g * f)(2) = -3\sqrt 3[/tex]

Step-by-step explanation:

Given

[tex]f(x) =1 - x^2[/tex]

[tex]g(x) = \sqrt{11 - 4x[/tex]

See attachment

Solving (a): (g + f)(2)

This is calculated as:

[tex](g + f)(2) = g(2) + f(2)[/tex]

Calculate g(2) and f(2)

[tex]g(2) \to \sqrt{11 - 4 * 2} = \sqrt{3}[/tex]

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

So:

[tex](g + f)(2) = g(2) + f(2)[/tex]

[tex](g + f)(2) = \sqrt 3 - 3[/tex]

Solving (b): [tex](\frac{f}{g})(-1)[/tex]

This is calculated as:

[tex](\frac{f}{g})(-1) = \frac{f(-1)}{g(-1)}[/tex]

Calculate f(-1) and g(-1)

[tex]f(-1) = 1 - (-1)^2 = 0[/tex]

So:

[tex](\frac{f}{g})(-1) = \frac{f(-1)}{g(-1)}[/tex]

[tex](\frac{f}{g})(-1) = \frac{0}{g(-1)}[/tex]

[tex](\frac{f}{g})(-1) = 0[/tex]

Solving (c): (g - f)(-1)

This is calculated as:

[tex](g + f)(-1) = g(-1) - f(-1)[/tex]

Calculate g(-1) and f(-1)

[tex]g(-1) = \sqrt{11 - 4 * -1} = \sqrt{15}[/tex]

[tex]f(-1) = 1 - (-1)^2 = 0[/tex]

So:

[tex](g + f)(-1) = g(-1) - f(-1)[/tex]

[tex](g + f)(-1) = \sqrt{15} - 0[/tex]

[tex](g + f)(-1) = \sqrt{15}[/tex]

Solving (d): (g * f)(2)

This is calculated as:

[tex](g * f)(2) = g(2) * f(2)[/tex]

Calculate g(2) and f(2)

[tex]g(2) \to \sqrt{11 - 4 * 2} = \sqrt{3}[/tex]

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

So:

[tex](g * f)(2) = g(2) * f(2)[/tex]

[tex](g * f)(2) = \sqrt 3 * -3[/tex]

[tex](g * f)(2) = -3\sqrt 3[/tex]

Answer:ik i am late but it is 4.4 for the people that need it now

Step-by-step explanation:

Given:

The two statements.

To find:

The probability of an impossible event.

The probability of a certain event.

Solution:

Formula for probability is:

[tex]P=\dfrac{\text{Possible favorable outcomes}}{\text{Total number of outcomes}}[/tex]

For an impossible event, the possible favorable outcomes is 0. So,

[tex]P=\dfrac{0}{\text{Total number of outcomes}}[/tex]

[tex]P=0[/tex]

For a certain event (sure event), the possible favorable outcomes is equal to total number of outcomes. So,

[tex]P=\dfrac{\text{Total number of outcomes}}{\text{Total number of outcomes}}[/tex]

[tex]P=1[/tex]

Therefore, an event that is impossible has probability 0 and an event that is certain has probability 1.

Answer:

7a - 42

Step-by-step explanation:

1st step is to distribute.

7(a-6)

multiply 7 to "a" and -6

7a - 42

Answer:

[tex]\displaystyle \cos(A + B) =\frac{969}{1769}[/tex]

Step-by-step explanation:

We are given that:

[tex]\displaystyle \cos A=\frac{20}{29}\text{ and } \tan B=\frac{11}{60}[/tex]

Where A and B are positive acute angles.

And we want to find cos(A + B).

Recall that cosine is the ratio of the adjacent side to the hypotenuse. Using this information, find the opposite side with respect to Angle A:

[tex]o=\sqrt{29^2-20^2}=21[/tex]

Tangent is the ratio of the opposite side to the adjacent side. Find the hypotenuse with respect to Angle B:

[tex]h=\sqrt{11^2+60^2}=61[/tex]

In summary:

With respect to Angle A, the adjacent side is 20, opposite is 21, and the hypotenuse is 29.

With respect to Angle B, the adjacent side is 60, the opposite is 11, and the hypotenuse is 61.

We can rewrite our expression as:

[tex]\displaystyle \cos(A+B)=\cos A\cos B-\sin A\sin B[/tex]

Using the above information, substitute in the appropriate values. Note that since A and B are positive acute angles, all trigonometric values will be positive. Hence:

[tex]\displaystyle \cos(A + B)=\left(\frac{20}{29}\right)\left(\frac{60}{61}\right)-\left(\frac{21}{29}\right)\left(\frac{11}{61}\right)[/tex]

Simplify:

[tex]\displaystyle \cos(A + B) =\frac{1200-231}{1769}=\frac{969}{1769}[/tex]

Answer:

4

Step-by-step explanation:

Number of brownies = 1 dozen

1 dozen = 12

Fraction of brownies that had nut = 2 /6

Hence, Number of brownies dad doesn't eat :

Fraction that had nuts * number of brownies

2/6 * 12

1/3 * 12

= 4

Answer:

boi its 202 -1

Step-by-step explanation:

eiroiwzjsirgjzßπkgjπøˆß

Answer:

Mia has 180 counters

Step-by-step explanation:

if Suzy has 20 counters and Mia has nine times as many as Suzy, we can multiply 20 by 9 (20×9) and get 180

Answer:

9

Step-by-step explanation:

cos(68°)×24= 8.99 which can be rounded to 9

Answer:

8 °C

Step-by-step explanation:

Step 1: Given data

Initial temperature value (T1): -10 °C

Final temperature value (T2): -2 °C

Step 2: Calculate the change in temperature from the morning to the afternoon

To calculate the change in the temperature, we have to perform the subtraction T2 - T1.

ΔT = T2 - T1 = (-2 °C) - (-10 °C) = -2 °C + 10 °C = 8 °C

The temperature change is positive, meaning that the temperature increased.

Answer:

24

Step-by-step explanation:

let 'x' = number

x/2 - 2 = 10

add 2 to each side to get:

x/2 = 12

cross-multiply to get:

x = 24

Answer:

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

Explanation:

x = the number you think of

x/2 = the result after taking half of that number

(x/2) - 2 = subtract 2 from the previous result

(x/2) - 2 = 10 is the equation to solve

Solving said equation gets us...

(x/2) - 2 = 10

x/2 = 10+2 ... adding 2 to both sides

x/2 = 12

x = 12*2 ..... multiplying both sides by 2

x = 24

Notice how we basically undo everything applied to x. First we divided by 2, then we subtracted 2. So we follow that order in reverse to undo the "minus 2" (ie add 2 to both sides). Then we undo the division to multiply both sides by 2 to end up with the answer x = 24

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

Let's check that answer:

x = 24

x/2 = 24/2 = 12 ... result after taking half of x

(x/2) - 2 = (12)-2 = 10 ... result after subtracting two

We end up with 10 as your teacher mentioned, so it confirms that x = 24 is the answer.

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

Here's another way to check:

(x/2) - 2 = 10

(24/2) - 2 = 10

(12) - 2 = 10

10 = 10

We end up with the same thing on both sides, so x = 24 is confirmed.

Answer:

19

HOPE THIS HELPS

- Todo ❤️

Step-by-step explanation:

45/5=9

9+10=19

Answer:

Both are false.

Step-by-step explanation:

Elena is right in saying that exponents are repeated multiplication, but shes doing it the incorrect way. 2 to the power of 28 is not multiplication of 28s twice, but instead is multiplication of 2 twenty eight times.

Answer:

D; 15

Step-by-step explanation:

Because the highest point on the graph is at 15 (or 3 am), that would be the highest temperature. (Also, none of the other choices make sense; they are all at relatively low temperatures).

Answer:

d. (9,-260°)

Step-by-step explanation:

100° = 100-360 = -260°

Answer:

Step-by-step explanation:

y = ax + b

The trick is to solve for a.

y = 505

x = 8

b = 25

505 = a*8 + 25                Subtract 25 from both sides

-25             -25

480 = 8a

a = 60

What this means is that for each one of the 8 months, he added 60 dollars into his account

The equation is y = 60*x + 25

Answer:

3rd one

Step-by-step explanation:

Answer:

The answer is "[tex](x + 8)^2 = 58[/tex]"

Step-by-step explanation:

Let the equation is:[tex]x^2+16x=-6[/tex]

by adding and subtracting 64 then:

[tex]x^2 + 16x + 64 = -6 + 64\\\\x^2 + 2\times x\times 8 + 64 = -6 + 64\\\\ (x + 8)(x + 8) = 58\\\\ (x + 8)2 = 58[/tex]