The area of a triangle is 72cm squared. if its base is 16cm, find his height.​

Answer:

A

Step-by-step explanation:

A prime number only has 2 factors, that is

1 and the number itself

factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

factors of 22 are 1, 2, 11, 22

factors of 33 are 1, 3, 11, 33

factors of 37 are 1, 37

Therefore 37 is a prime number

Answer:

15.25%

Step-by-step explanation:

The actual amount in a 12-ounce container of a certain brand of orange juice is normally distributed with mean μ = 12.34 ounces and standard deviation σ = 0.04 ounce. What percentage of the juice bottles contain between 12.24 and 12.30 ounces of orange juice?

We solve using the z score formula

z-score is is z = (x-μ)/σ,

where x is the raw score

μ is the population mean = μ = 12.34 ounces

σ is the population standard deviation = σ = 0.04 ounce

For x = 12.24

z = 12.24 - 12.34/0.04

z = -2.5

Probability value from Z-Table:

P(x = 12.24) = 0.0062097

For x = 12.30

z= 12.30 - 12.34/0.04

z = -1

Probability value from Z-Table:

P(x = 12.30) = 0.15866

Hence, the probability of the juice bottles contain between 12.24 and 12.30 ounces of orange juice

P(x = 12.30) - P(x = 12.24)

= 0.15866 - 0.0062097

= 0.1524503

Therefore, the percentage of the juice bottles contain between 12.24 and 12.30 ounces of orange juice is calculated as:

= 0.1524503 × 100

= 15.24503%

= 15.25%

Answer:

Step-by-step explanation:

when it touch the ground,y=0

-16x²+232x+134=0

-16(x²-29/2 x+(-29/4)²-(-29/4)²)=-134

-16(x-29/4)²-16(-861/16)=-134

-16(x-29/4)²+861=-134

-16(x-29/4)²=-134-861

(x-29/4)²=-995/-16=995/16

x-29/4=±√995/4

rejecting negative sign

x=29/4+√995/4=(29+√995)/4≈15.14 second

9514 1404 393

Answer:

  A.  (0, -3)

Step-by-step explanation:

Graphing the given points shows you the y-intercept is between them. The x-coordinate of the y-intercept is always 0, so the only viable answer choice is ...

  (0, -3)

Answer:

Step-by-step explanation:

The graph of g(x)=3(2)^x -5 is vertically stretched as compared with that of h(x) = 2^x.  Also, the graph of g(x)=3(2)^x -5 has been translated downward by 5 units.

To obtain the graph of g(x)=3(2)^x -5, we start by graphing g(x)= 2^x, whose y-intercept is (0, 1).  We then stretch this new graph vertically by a factor of 3; the y-intercept becomes (0, 3).  Finally, we translate the entire new graph downward 5 units.

Answer: I think D IM GUESSING

Step-by-step explanation:

I think D cuz It has McDonald's in it and I'm lovin' it... Jk

Answer:

The answer is D

Step-by-step explanation:

Answer:

Perimeter=32

Step-by-step explanation:

Perimeter=Sum of all sides

=8+2+2(on opposite side) +3+3+6+6(on opposite side) +(8-(3+3)) [The bottom side] =32

Answer:

The answer is the third one, x - 7 < 4

Step-by-step explanation:

Answer:

36.87

Step-by-step explanation:

Using tan inverse of 9 over 12

Answer:

x ≈ 36.9°

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan x = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{9}{12}[/tex] , then

x = [tex]tan^{-1}[/tex] ([tex]\frac{9}{12}[/tex] ) ≈ 36.9° ( to the nearest tenth )

Answer:

Option B and D

Step-by-step explanation:

2^5/6^5

2x2x2x2x2/6x6x6x6x6

1/3^5 [after canceling]

3^-5

Also

2^5x6^-5

Answer:

Step-by-step explanation:

43 + 24 + 57 + x = 180 degree (being sum of interior angles of a triangle)

124 + x = 180

x = 180 - 124

x = 56 degree

in small triangle

57 + 24 + z = 180 degree (sum of interior angles of a triangle )

81 + z = 180

z = 180 - 81

z = 99 degree

in big triangle

x + 43 + y = 180 degree (sum of interior angles of a triangle )

56 + 43 + y = 180

99 + y =180

y = 180 - 99

y = 81 degree

The value of x= 56°

Hope it helps you...

Answer:

1,120 square feet

Step-by-step explanation:

Area of a rectangle = length × width

Length = 32 feet

Width = 35 feet

Area of a rectangle = length × width

= 32 feet × 35 feet

= 1,120 square feet

Therefore,

Area of the rectangular living room = 1,120 square feet

Answer:

D.    270º < x < 360º

Step-by-step explanation:

sin is negative in Quad III and IV

tan is negative in Quad II and IV

Therefor ∅ is in Qaud IV

270º < x < 360º

Answer:

D

Step-by-step explanation:

2*3^2

2*9

18

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {D. \:18}}}}}}[/tex]

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

[tex]2 \: ( \: {4 - 1} \: )^{2} [/tex]

[tex] = 2\: (\: {3} \: )^{2} [/tex]

[tex] = 2 \: ( \: 3 \times 3 \: )[/tex]

[tex] = 2 \times 9[/tex]

[tex] = 18[/tex]

[tex]\sf\pink{PEMDAS\: rule.}[/tex]

P = Parentheses

E = Exponents

M = Multiplication

D = Division

A = Addition

S = Subtraction

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

Answer:

a = 120 cm²

Step-by-step explanation:

n = number of sides

edge length

40/n

divide the polygon into n congruent triangles

a = (1/2)(edge * apothem) * number of triangles

a = (1/2)(40/n)(6) * n

n cancels out

a = (1/2)(40)(6)

a = 120 cm²

Answer:

Correct to 1dp

127.3 cm = 127.0 cm

86.5 cm = 87.0 cm

Upper limits:

127.0 cm = 127.05 cm

87.0 cm = 87.05 cm

Lower Limits:

127.0 cm = 126.95 cm

87.0 cm = 86.95 cm

upper limit of perimeter of rectangle:

P = 2(l+w)

= 2(127.05 + 87.05)

= 2(214.1)

= 428.2 cm

lower limit of perimeter of rectangle:

P = 2(l+w)

= 2(126.95 + 86.95)

= 2(213.9)

= 427.8 cm

therefore;

[tex]427.8 cm \leqslant perimeter < 428.2cm[/tex]

The upperbound and the lowerbound for the perimeter of the rectangle are;

Upper bound perimeter = 428.2 cm

Lower bound perimeter = 427.8 cm

To get the upper bound and Lower limits for the length and width, we need to first approximate them to 1 decimal place to get;

Length; 127.3 cm ≈ 127 cm

Width; 86.5 cm ≈ 87 cm

Thus;

Upper limit of length = 127.05 cm

Lower limit of length = 126.95 cm

Upper limit of width = 87.05 cm

Lower limit of width = 86.95 cm

Formula for perimeter of rectangle is;

P = 2(length × width)

Thus;

Upper bound perimeter = 2(127.05 + 87.05)

Upper bound perimeter = 428.2 cm

Lower bound perimeter = 2(126.95 + 86.95)

Lower bound perimeter = 427.8 cm

Read more on perimeter of rectangle at; https://brainly.com/question/17297081

Answer:

A

Step-by-step explanation:

We are given a parabola with a vertex point of (2, 1) and a y-intercept of y = 4.

And we want to determine another point on the parabola.

Recall that a parabola is symmetric along the axis of symmetry, which is the x-coordinate of the vertex.

Note that since the y-intercept of the parabola is y = 4, this means that a point on our parabola is (0, 4).

To get from (2, 1) to (0, 4), we move two units left and three units up.

Since the parabola is symmetric along axis of symmetry, another point on the parabola will be two units right and three units up. This yields (2 + 2, 1 + 3) or (4, 4).

Our answer is A.

Answer:

Step-by-step explanation:

Use the words in the problem to write the equation you need to solve it. The word "of" means to multiply, the word "is" means "equals", and we always put a percentage in the form of a decimal when we use it in an equation.

Our equation would look like

.20y = 40 so

y = 200

2+3=5 and 4+1.5=2SO BY ADDIDING IS 9

Answer:

2.7549211e+26

hope this helps!

add me as a friend if you can:)

Answer:

You can copy and paste your question into go.ogle and then you can find the answer.

[tex]\longrightarrow{\green{A.\:2 \: ( x + 3)(x + 3) }}[/tex] 

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

[tex]2 {x}^{2} + 12x + 18[/tex]

Taking 2 as common factor, we have

[tex] = 2 \: ( {x}^{2} + 6x + 9) \\ = 2 \: ( {x}^{2} + 3x + 3x + 9)[/tex]

Next, we take [tex]x[/tex] as common from first two terms and 3 from last two terms,

[tex] = 2 \: [x(x + 3) + 3(x + 3)][/tex]

Taking the factor [tex](x+3)[/tex] as common,

[tex] = 2 \: ( x + 3)(x + 3)[/tex]

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35}}}}}[/tex]

Answer:

tan angle = x/5.

Step-by-step explanation:

If I understand your description,

tan angle at bottom of ramp = 1.2/3.

Then tan angle = x/5.

Check my thinking.

It only has one x intercept

Step-by-step explanation: when you graph it there is only one point where the line meets the x intercept

[tex]\longrightarrow{\green{- 9 {x}^{2} + 14x + 16}}[/tex] 

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

[tex] \sqrt{49} + [ \sqrt{81} - x \: (9x - 14) ] \\ \\ = \sqrt{7 \times 7} + [ \sqrt{9 \times 9} - 9 {x}^{2} + 14x] \\ \\ = \sqrt{( {7})^{2} } + [ \sqrt{ ({9})^{2} } - 9 {x}^{2} + 14x ] \\ \\ (∵ \sqrt{ ({x})^{2} } = x ) \\ \\ = 7 + (9 - 9 {x}^{2} + 14x) \\ \\ = 7 + 9 - 9 {x}^{2} + 14x \\ \\ = - 9 {x}^{2} + 14x + 16[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]

Answer:

[tex](x-4)^2+(y+7)^2=43[/tex]

Step-by-step explanation:

The standard equation of a circle is given by:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where (h, k) is the center and r is the radius.

We are given that the center is (4, -7) and that the radius is √(43).

So, h = 4, k = -7, and r = √(43). Substitute:

[tex](x-(4))^2+(y-(-7))^2=(\sqrt{43})^2[/tex]

Simplify. Hence, our equation is:

[tex](x-4)^2+(y+7)^2=43[/tex]

Answer:

D.$315

Step-by-step explanation:

$450=100%

100%-20%-10%=70%

$450×70%=$450×70/100

=$315

Answer:

The answer is D.