Question 15 of 43
A bag of marbles has 12 red, 7 yellow, 5 blue and 1 white. Find the probability
of selecting 4 marbles from the bag where all 4 are red.
9
A.
o
B.
1
C.
75900
o
D.

Answer:

BC = 8 cm

Step-by-step explanation:

tan(x) = sin(x)/cos(x)

sin(x) is the opposite side of the angle x.

cos(x) is the side with a right angle to sin(x).

2 = 12/EC

EC = 12/2 = 6 cm

=>

CD = ED - EC = 10 - 6 = 4 cm

now, the same tan(x) relation had to be true for BCD.

tan(x) = BC/CD

2 = BC/4

BC = 8 cm

Step-by-step explanation:

mmm Next no se...........

Answer: 5

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

-2= x+1

-2-1=x

-3=x

Answer:

[tex]254.5 m^2[/tex]

Step-by-step explanation:

Area of a Circle: [tex]A=\pi r^2[/tex]

The r is the length of the radius of the circle

The radius of the shown circle is 9 m

[tex]A=\pi 9^2[/tex]

[tex]A=81\pi=254.469004941[/tex]

Answer:

254.57 square meters

Step-by-step explanation:

first we need to know the details given in the question . in this question we are given radius of the circle which is eight 9m.

then we need to know the formula for finding the area of the circle.

which is πr^2 ,value of pie is 3.14

3.14*9*9=254.57.

Answer:

Step-by-step explanation:

Angle UTV is a central angle. The rule is that the measure of a central angle is the same as the measure of the arc its rays intercept. Angle UTV intercepts arc UV which measure 68 degrees. Therefore, angle UTV also measures 68 degrees.

As far as the next angle goes, angle VUW, the rule is that the measure of the angle is half the measure of the arc it intercepts. So angle VUW = 34 degrees

Answer:

[tex]9+4^2\div 2^3\tems*3[/tex]

[tex]9+2^4\div8*3[/tex]

[tex]9+2*3[/tex]

[tex]9+2*3[/tex]

[tex]9+6[/tex]

[tex]15[/tex]

The radius of the given circle is 5, option C is correct.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

In the given figure, y is the radius.

By pythagoras theorem we find the radius

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.

AC²+AB²=BC²

y²+12²=(y+8)²

y²+12²=y²+64+16y

144=16y+64

Subtract 64 from both sides

144-64 = 16y

80=16y

Divide both sides by 16

y=5

Hence, the radius of the given circle is 5, option C is correct.

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Answer:

Step-by-step explanation:

The - tells you that it is upside down. So that much of your choice is correct for certain.

The 1/8 squishes the graph something fierce. So of those graphs given, the one you chose is most likely correct. But you are right to be a little miffed at the question. You should never have to choose an answer with only a picture to guide you. If you have a graphing calculator, try y = -1/8 x^2 which is a good candidate for all the graphs.

Answer:

(a). The bus decelerated to rest through 75 miles for 1.25 hours and accelerated through same distance for 1.25 hours.

b.

[tex]s _{1} = \frac{d _{1} }{t _{1} } \\ = \frac{15}{1.5} \\ s _{1} = 10 \: miles \: per \: hour \\ \\ s _{2} = \frac{d _{2} }{t _{2}} = \frac{45}{2} \\ = 22.5 \: miles \: per \: hour \\ average = \frac{22.5 + 10}{2} \\ = 16.25 \: miles \: per \: hour[/tex]

a) The bus decelerated to rest through 75 miles for 1.25 hours and accelerated through same distance for 1.25 hours.

b)The average rate of change represent is 16.25 miles per hour.

a) The bus decelerated to rest through 75 miles for 1.25 hours and accelerated through same distance for 1.25 hours.

b)

s1 = d1/t1

15/1.5

s1 = 10 miles per hour

s2 = d2/t2

22.5 miles per hour

Average = 16.25 miles per hour.

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Answer:

Step-by-step explanation:

48

Answer:

270

Step-by-step explanation:

24 times 30, divided by 2 (360)

then subtract 12 times 15 divided by 2 (90)

Answer:

-1 or 2

Step-by-step explanation:

2x2-2x-4

x2-x-2

x2+x-2x-2

x(x+1)-2(x+1)

(x+1)(x-2)

x=-1 or 2

Answers:

a = 1/3

b = -6

c = 7

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

Explanation:

The terms of the given expression rearrange to [tex]\frac{1}{3}x^2 - 6x+7[/tex] which is now in standard form (the exponents decrease when moving from left to right).

We can see that

a = 1/3

b = -6

c = 7

after matching that with the ax^2+bx+c form.

Answer:

C) 92, leg

Step-by-step explanation:

a² + 28² = 96²     *the hypotenuse is always the longest side

a² + 784 = 9216

a² = 8432

a = √8432

'a' is approximately 92, and is a leg

Answer: D

Step-by-step explanation:

9514 1404 393

Answer:

  1583.4 ft³

Step-by-step explanation:

The formula for the volume of a cylinder is ...

  V = πr²h

The radius is half the diameter, so is (12 ft)/2 = 6 ft. Then the volume is ...

  V = π(6 ft)²(14 ft) ≈ 1583.4 ft³

_____

Additional comment

The number shown in the problem statement answer box is the number you would get using the diameter in the above formula instead of the radius.

The volume of cylinder is 1583.4ft³.

Step-by-step explanation:

Given that :-

Base diameter if cylinder = 12 ft

To find :-

Solution :-

Using formula

Volume of cylinder = π × r² × h

Substitute the value

Volume of cylinder = π × (6ft)² × 14 ft

evaluate the exponent

Volume of cylinder = π × 36 ft ² × 14ft

multiply

Volume of cylinder = π × 504 ft³

Using , π = 3.14

Volume of cylinder = 3.14 × 504 ft³

Hence, the volume of cylinder is 1582.56ft³.

Round nearest tenth place = 1583.4 ft³.

Answer:

The probability is 2/5

Step-by-step explanation:

There are 25 sections on the board

And 10 of those squares are coloured yellow

Therefore;

Probability =

[tex] \frac{10}{25} = \frac{2}{5} [/tex]

Answer:

12345678901234567890

Answer:

...

Step-by-step explanation:

what help do you need ??

[tex]\longrightarrow{\blue{ 141x - 8y }}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex]97x + 58y - 66y + 44x[/tex]

Let us rewrite the expression so that the like terms are next to each other.

[tex] = 97x + 44x+ 58y - 66y[/tex]

Combine the coefficients.

[tex] = (97 + 44)x + (58 - 66)y[/tex]

[tex] = 141x - 8y[/tex]

[tex]\sf\pink{Happy\:learning! }[/tex]

Answer:

Aaron = 54

Bola = 18

Step-by-step explanation:

Let

[tex]A \to Aaron[/tex]

[tex]B \to Bola[/tex]

From the first statement, we have:

[tex]A = 3B[/tex]

After given Bola 6 sweets,

[tex]A - 6 = 2(B + 6)[/tex]

Required

The initial number of sweets each has

Substitute [tex]A = 3B[/tex] in [tex]A - 6 = 2(B + 6)[/tex]

[tex]3B - 6 = 2(B + 6)[/tex]

Open bracket

[tex]3B - 6 = 2B + 12[/tex]

Collect like terms

[tex]3B -2B = 12+6[/tex]

[tex]B = 18[/tex]

Substitute [tex]B = 18[/tex] in [tex]A = 3B[/tex]

[tex]A = 3 * 18[/tex]

[tex]A = 54[/tex]

Answer:

Step-by-step explanation:

I'll show you how to do the first one; the other are exactly the same, so pay attention.

The formula for arc length is

[tex]AL=\frac{\theta}{360}*2\pi r[/tex] where θ is the central angle's measure. It just so happens that the measure of the central angle is the same as the measure of the arc it intercepts. Our arc shows a measure of 40°; this measure is NOT the same as the length. Measures are in degrees while length is in inches, or cm, or meters, etc. Going off that info, our central angle measures 40°. Filling in the formula and using 3.1415 for π:

[tex]AL=\frac{40}{360}*2(3.1415)(3)[/tex]. I'm going to reduce that fraction a bit (and I'll use the same reduction in the Area of a sector coming up next):

[tex]AL=\frac{1}{9}*2(3.1415)(3)[/tex] which makes

AL = 2.09 units. Now for Area of the Sector. The formula is almost identical, but instead uses the idea that the area of a circle is πr²:

[tex]A_s=\frac{\theta}{360}*\pi r^2[/tex] where θ is, again, the measure of the central angle (which is the same as the measure of the arc it intercepts). Filling in:

[tex]A_s=\frac{1}{9}*(3.1415)(3)^2[/tex] which simplifies a bit to

[tex]A_s=\frac{1}{9}*(3.1415)(9)[/tex]. As you can see, the 9's cancel each other out, leaving you with

[tex]A_s=3.14[/tex] units²

Answer:

Step-by-step explanation:

[tex]Arc \ Length = 2 \pi r \frac{ \theta}{360}[/tex]

[tex]Sector \ Area = \pi r^2 \frac{ \theta }{360}[/tex]

[tex]1) Arc \ Length = 2 \pi \times 3 \times \frac{40}{360} = 2\pi \times 3 \times \frac{1}{9} = \frac{2}{3} \pi = 2.09[/tex]

  [tex]Sector \ Area = \pi \times 9 \times \frac{40}{360} = 9\pi \times \frac{1}{9} = \pi = 3.14[/tex]

[tex]2) Arc \ Length = 2 \pi \times 5 \times \frac{88}{360}= 7.68[/tex]

  [tex]Sector \ Area = \pi \times 25 \times \frac{88}{360} = 19.2[/tex]

[tex]3) Arc \ Length = 2 \pi \times 6 \times \frac{260}{360} = 27.22[/tex]

  [tex]Sector \ Area = \pi \times 36 \times \frac{260}{360} = 81.68[/tex]

Answer:

729

Step-by-step explanation:

M has to be 2 and n has to be 3, because 2^3 = 8

if it was 3^2 it would be 9

2^3 = 8

3^(2*3) = 3^6 = 729

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

Field goals: No. of attempts

36:63

4:7 (simplest form)

Hence, the answer is 4:7.

Answer:

3 + (5 + 7) = (3 + 5) + 7

Associative property

(3){5(7)} = (3){7(5)}

Commutative Property

5 + 0 = 5

Identity Property

Step-by-step explanation:

Answer:

3000 Meters?

Step-by-step explanation:

I say the question mark because kilo quite literally just means 1000. If she ran 3 of these sets of Kilometers, that would be 3000.

Answer:

3000 meter hope this helps

Answer:

375

Step-by-step explanation:

Applying,

Total surface area of the triangular prism = 3×Area of the rectangular surface + 2×area of the triangular  surface

Assuming the triangular base is an equilateral triangle

A = 3A'+2B.................... Equation 1

Where A = Total  surface area of the prism, A' = Area of the rectangular surface, B = Area of the triangular base.

From the question,

IF  A' = 2B,

Given: A = 3000

Substitute these values into equation 1

3000 = 3(2B)+2B

3000 = 6B+2B

3000 = 8B

8B = 3000

B = 3000/8

B = 375