After surveying students in her homeroom, Katie decided to use a number cube to predict the probability that a randomly chosen student in her school planned to stay after school today for extracurricular activities. In Katie’s simulation, a roll of 1 represents staying after school, while rolls of 2, 3, 4, 5, or 6 represent leaving school at the end of classes.

Lucas built a composite solid by joining 12 identical blocks, with dimensions 4 inches by 5 inches by 7 inches, into three rows of four as shown.


12 blocks are in 3 rows of 4. Each block is 4 inches by 5 inches by 7 inches.


What is the total surface area of the composite solid?
521 square inches
1,042 square inches
1,072 square inches
1,992 square inches

Answer:

29.50 degrees to the nearest hundredth.

Step-by-step explanation:

First we can find the measure of < CGB by using the Cosine Rule:

cos <CGB = (11^2 - 5.3^2 - 6.9^2) / (-2 * 5.3 * 6.9)

= -0.61936

So m < CGB = 128.27 degrees.

Now we can find the measure of x by using the Sine Rule:

11 / sin 128.27 = 6.9  / sin x

sin x =  6.9 * sin 128.27 / 11

= 0.49248

x = 29.5035 degrees

Answer:

x is around 29.5

Step-by-step explanation:

Let's just use the law of cosines.

[tex]c^2 = a^2 + b^2 - 2ab\cos\angle (ab)\\\\6.9^2 = 5.3^2 + 11^2 - 2\cdot5.3\cdot11\cdot \cos x^{\circ}\\47.61 = 28.09 + 121 - 116.6\cdot\cos x^{\circ}\\~\\cos x^{\circ} = \frac{149.09 - 47.61}{116.6} = \frac{101.48}{116.6}\\~\\x^{\circ} = \arccos\frac{101.48}{116.6}\\~\\x^{\circ} \approx 29.5^\circ[/tex]

Answer:

(x - 3)² + (y + 2)² = 16

Step-by-step explanation:

The center is determined by what number is subtracted from the variables.

The radius is squared and set equal to the variable side.

Answer:

10 feet

Step-by-step explanation:

pythagorean theorem

Answer:

Hypotenuse = 10.

Step-by-step explanation:

h^2 = 6^2 + 8^2

= 36 + 64

= 100

So h= 10.

Answer:

28x

Step-by-step explanation:

Use foil to get

8x^2 +28x+12

middle term is 28x

Answer:

(4x^5)^1/3

Step-by-step explanation:

Answer:

154 sq. meters

Step-by-step explanation:

the area of the whole  thing is 180 then you find the area of the blank space which is 16 and subtract it out

Answer:

A. 14.4

b. x-20%

c. 23 dollars

Step-by-step explanation:

you have to take away the 20% or multiply the price by 0.2 which is 20%

Answer:

44

Step-by-step explanation:

Answer:

look at the picture i have sent

Answer:

1/2 -3/2

Step-by-step explanation:

Answer:

M' (- 3, 1 )

Step-by-step explanation:

Under a rotation about the origin of 90°

a point (x, y ) → (- y, x ) , then

M (1, 3 ) → M' (- 3, 1 )

Answer: 32 matches

Step-by-step explanation:

Let the games in total that the baseball team played be represented by x.

Based on the information given in the question, we can form an equation as:

62.5% × x = 20

62.5/100 × x = 20

0.625 × x = 20

0.625x = 20

x = 20/0.625

x = 32

The team played a total of 32 matches.

Answer:

1.2, 1.6, 2.0

Step-by-step explanation:

Pythagorean theorem

A^2 +b^2=c2

1.2^2+1.6^2=2^2

1.44 + 2.56=4

4=4

Since equation works (4=4), it is a right triangle.

Answer:

I'm pretty sure it's 18 degrees

Step-by-step explanation:

Answer:

Step-by-step explanation:

We can use Pythagorean Theorem to find leg BC.

[tex]AB^2=AC^2+BC^2[/tex]

[tex]24^2=12^2+BC^2[/tex]

[tex]576=144+BC^2[/tex]

[tex]BC^2=432[/tex]

[tex]BC=\sqrt{432}[/tex]

[tex]BC=2\sqrt{108}[/tex]

[tex]BC=4\sqrt{27}[/tex]

[tex]BC=12\sqrt{3}[/tex]

So, the measure of leg BC is 12√3.

Answer:

6.65 kilometers

Step-by-step explanation:

950 * 7 days a week = 6650 meters

6650 meters / 1000 (conversion to kilometers) = 6.65 kilometers

Answer:

6.65  km

Step-by-step explanation:

Let's solve this in a set of fraction forms. Since 1 day is 950 meters, 1 week will be converted to days to be on equal grounds. 1 week = 7 days. Therefore, let us set up a fraction; Let "x" be the variable

[tex]\frac{950}{1}=\frac{x}{7}[/tex]

Step 1: Switch sides

[tex]\frac{x}{7}=\frac{950}{1}[/tex]

Step 2: Apply rule [tex]\frac{a}{1}=a[/tex]

[tex]\frac{x}{7}=950[/tex]

Step 3: Multiply both sides by 7

[tex]\frac{7x}{7}=950\cdot \:7[/tex]

Step 4: Simplify

[tex]x=6650[/tex]

Expressed: [tex]\frac{6650 meters}{1000}[/tex] (convertion to kilometers) = 6.65 kilometers

Therefore, Janet would walk 6.65 km in an entire week

The equivalent expression of [tex]w^{4} -36[/tex] is [tex](w^{2} -6)(w^{2} +6)[/tex].

Equivalent expressions are expressions that work the same even though they look different.

According to the given question.

we have an expression [tex]w^{4} -36[/tex]

The equivalent expression of the above expression can be given by

[tex]w^{4} -36[/tex]

⇒ [tex](w^{2}) ^{2} -(6)^{2}[/tex]

⇒[tex](w^{2}-6)(w^{2} +6)[/tex]      (by using the property [tex]a^{2} -b^{2} = (a-b)(a+b)[/tex] )

Hence, the equivalent expression of [tex]w^{4} -36[/tex] is [tex](w^{2} -6)(w^{2} +6)[/tex].

Thus, option D is correct.

Find out more information about equivalent expression here:

https://brainly.com/question/27733205

#SPJ2

Answer:

Solution given:

here

base[b]=x

perpendicular [p]=9√3

hypotenuse [h]=y

we have

sin 30=p/h

1/2=9√3/y

y=18√3 or 31.176

again

cos 30°=b/h

√3/2=x/18√3

x=3×18/2=27

x=27

Answer:

D

Step-by-step explanation:

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

Answer:

1.

2. $25 dollars for 10 toppings

3. $19 dollars for 6 toppings

4. 6 toppings

Step-by-step explanation:

Answer:

0.2

Step-by-step explanation:

U need to count how many times it goes up and divide 0.4 by 2

Answer:

x - 3.8 = y

Step-by-step explanation:

3.8 - 3.8 = 0

4.2 - 3.8 = 0.4

5.1 - 3.8 = 1.3

7.3 - 3.8 = 3.5

Answer:

b

Step-by-step explanation:

Answer:

Aired

Step-by-step explanation:

Answer:

It really all depends on how much percent of your grade the test is worth. If your current average is 77%, and the test is worth 30-100% of your grade, then the 77% will likely become 75% or even 73%.

Step-by-step explanation:

It all just depends.

Answer:

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

Answer: 4,863.1

Step-by-step explanation: