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An image of a rectangular prism is shown.

A rectangular prism with dimensions of 14 inches by 10 inches by 4 inches.

What is the volume of the prism?

144 in3
280 in3
560 in3
1,120 in3

Answer:

13,-1,2

Step-by-step explanation:

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Answer:

90 , 40

Step-by-step explanation:

Answer:

-6 18

-30 30

Step-by-step explanation:

Multiply each number in the matrix by the 6.

Answer:

25m/s

Step-by-step explanation:

Here,

Initial velocity(u) = 5.0 m/s2

acceleration(a)= 2m/s2

time taken(t)=10.0 s

final velocity (v)=?

Now,

v=u+at

=5.0+2*10.0

= 25m/s

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Answer:

1 hope this helps

Step-by-step explanation:

The arrow first reach an altitude of 60 meters is 13 seconds.

A General Rule for Solving Equations

h (t) = -2.1t² +32t-0.03 ---(i)

The arrow first reach an altitude of 60 meters:

h(t) = 60 -- (ii)

Equate the (i) and (ii)

60 = -2.1t² +32t-0.03

2.1t² - 32t + 0.03 + 60 = 0

2.1t² - 32t + 600.3 + = 0

t = -13, 13

Hence, The arrow first reach an altitude of 60 meters is 13 seconds.

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Answer:

[-3, 0] is the answer

because substituting every x in function yields that

Answer:

D

Step-by-step explanation:

TAN is opposite/adjacent

15/8

The probability of being a male and derive from a group of employees were asked whether they drive or walk to work is equal to 0.27.

From the table representing the probabilities of a group of employees.

Employees divided into two groups,

One is male .

Second is female.

While going for work there are two ways .

Derive to walk.

Walk to work.

Different probabilities are as follow,

Male and derive 0.27

Male and walk = 0.27

Female and derive = 0.23

Female and walk = 0.23

The required probability of being a male and derive

= 0.27.

Therefore, the probability of derive and male is equal to 0.27.

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\(a*b\) must contain all of the prime factors of n and the exponent of each factor must be less than or equal to the exponent of n. This means that a*b divides n.

Let n be an integer and a, b be relatively prime integers, each of which divides n. This means that a and b have no common factors other than 1. According to the Fundamental Theorem of Arithmetic, the prime factorization of n can be written as n = p1^k1 * p2^k2 * ... * pn^kn. Since a and b divide n, each of their prime factorizations must contain all of the prime factors of n, and the exponents must be less than or equal to the exponents of n. Therefore, a*b must contain all of the prime factors of n and the exponent of each factor must be less than or equal to the exponent of n. This means that a*b divides n.

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The measure of the angles for the similar triangles are ∠G = 105°; ∠H = 55° and ∠I = 20°

Two triangles are said to be similar if the ration of their corresponding sides are in the same proportion. Also, all their corresponding angles are congruent with each other.

From the diagram shown:

∠X + ∠Y + ∠Z = 180° (sum of angles in a triangle)

20 + 105 + ∠Z = 180

∠Z = 55°

Since triangle XYZ and triangle GHI are similar, hence:

∠X = ∠G = 105°; ∠Z = ∠H = 55° and ∠Y = ∠I = 20°

The measure of the angles are ∠G = 105°; ∠H = 55° and ∠I = 20°

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Answer:

14.5669

Step-by-step explanation:

Answer:

A round pencil is sharpened at both ends the hight of the pencil is 16cm the length of the pencil is 1cm the radius of the two sharpened ends is 16cm 1.2cm

Calculate the volume using the value 22/7. 

Step-by-step explanation:

Answer:

25% or more

Step-by-step explanation:

t1 = d1/v1 , t2 = d2/v2.

d1 = d2 , and v1 = 0.8 v2

t1 / t2 = d1/d2 x v2/v1 = v2/v1 ( as d1 = d2 )

t1/t2 = v2 / v1 = v2/0.8 v2 = 1/0.8 = 1.25

Answer: 2

Step-by-step explanation:

Answer:

I think it's 2kg

Step-by-step explanation:

13/5 ÷ 13/10

Reciprocate

13/5 × 10/13

= 26/13

=2kg

Answer:

Step-by-step explanation:

(-7, 4.2)

Answer:

(1/2)(x + 4 + 100) = 3x

x + 104 = 6x

5x = 104, so x = 20.8

By using the Unitary Method we get the number of children who went on an excursion was 63. Thus, the total number of children at school is 90.

We are given that,

No. of children who stayed at school is 27,

Also, 70% of the children went on an excursion.

Suppose, the total number of children in percentage is 100%

Out of which 70% went on an excursion

Thus, the children who stayed at school is 100% - 70% = 30%

By using the Unitary method, we can find out the number of 70% of children.

If 30% of the children are 27

Then 70% of the children are = 27 × 100

                                                        30

                                                 = 63

∴ the total no. of children in the school = 27 + 63

                                                                 = 90

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Solution:

Given the logarithmic function:

Domain:

The domain of the function is the set of input values for which the function is real and defined.

From f(x) function:

The domain of the function is

x-intercept:

The x-intercept of the function is the value of x for which the function f(x) equates to zero.

Thus,

Hence, the x-intercept of the function is

Vertical asymptote:

The vertical asymptote of the logarithm function in the form

will have its vertical asymptote at

Thus, the vertical asymptote of the logarithm function:

is

Hence, the vertical asymptote of the f(x) function is

Answer:

A natural number is a number that occurs commonly and obviously in nature. As such, it is a whole, non-negative number.

Step-by-step explanation:

Answer:

Finite

Step-by-step explanation:

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Answer:

Domain is R ( all real numbers)

Range is R (all real numbers)

Answer:

1) any number that is greater than ten is considered an integer bigger than ten: for example, 11, 12, 100, 1000000, etc.

2) any number that is smaller than ten is considered an integer smaller than ten: for example, 9, 8, 7, -100, -100000, etc.

3) any number that is bigger than zero is considered an integer bigger than ten: for example, 1, 2, 10, 100, 100000, etc.

4) any number that is smaller than zero is considered an integer smaller than zero: for example, -1, -2, -3, -10, -100000, etc.

Step-by-step explanation:

An integer is any whole number

Answer:

Step-by-step explanation:

integer bigger than 10 is 11

integer smaller than 10 is 9

integer greater than 0 is 1.

integer smaller than 0 is -1.

2.73

1.3x2.1=2.73

1.3

x2.1

13

+26

2.73

Answer:

To multiply 1.3 by 2.1, we need to use the distributive property of multiplication, which states that:

a × (b + c) = a × b + a × c

Using this property, we can break down 2.1 as the sum of 2 and 0.1:

1.3 × 2.1 = 1.3 × (2 + 0.1)

= 1.3 × 2 + 1.3 × 0.1

= 2.6 + 0.13

= 2.73

Therefore, 1.3 multiplied by 2.1 equals 2.73.

Answer:

Yes

Step-by-step explanation:

Correct

Step-by-step explanation:

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Answer:

a) 1392.287 cm^2

Step-by-step explanation:

length of fg=eg = 9 cm

radian = 0.6

radian to degree = 0.6* 180/pi = 34.37746771 deg

so ..area of sector = 34.37746771/2 * 9^2 = 1392.287442 cm^2

Answer:

AC = 13.3

Make proportional relationship:

\(\dfrac{\text{AB}}{\text{AC}} =\dfrac{\text{AM}}{\text{AN}}\)

Insert values

\(\rightarrow\dfrac{10}{\text{AC}} =\dfrac{6}{8}\)

Cross multiply

\(\rightarrow \text{AC}=\dfrac{10(8)}{6}\)

Simplify

\(\rightarrow \text{AC}=13.3\)

Answer:

Draw two circles, fill them in, then another circle split into 5 parts, and fill in 4 of the parts

Step-by-step explanation:))))

163. The distance between A(-5, 6) and B(5, -5) is: AB ≈ 14.9 units

164. Applying the Pythagorean theorem, we have: Diagonal ≈ 21.2 ft.

165. Marissa's final answer is wrong. It should be, c = √676 = 26 units.

166. Missing side = 29 ft.

The Pythagorean theorem states that c² = a² + b², given that a and b are shorter legs and c is the hypotenuse or longest leg of the right triangle.

163. The distance between A(-5, 6) and B(5, -5):

AB = √[(5−(−5))² + (−5−6)²]

AB = √221

AB ≈ 14.9 units

164. Apply the Pythagorean theorem to find the diagonal:

Diagonal = √(15² + 15²) ≈ 21.2 ft.

165. The answer Marissa got is wrong. The final answer which is the square root of 676 is:

c = √676 = 26 units.

166. Missing side = √(20² + 21²) = 29 ft.

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