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2 years ago

5. What is the value of x?

Mathematics

1 answer:

balu736 [363]2 years ago

4 0

Answer:

5 $\sqrt{3}$

Step-by-step explanation:

in a 30-60-90 triangle the ratio of sides, respectively, is 1 : $\sqrt{3}$ : 2

you can set up a proportion like this to solve for 'x':

$\sqrt{3}$ / 1 = 15 / x

cross-multiply:

$\sqrt{3}$ x = 15

x = 15/ $\sqrt{3}$

rationalize the denominator by multiply top and bottom by $\sqrt{3}$

you get 15 $\sqrt{3}$ ÷ 3 which is 5 $\sqrt{3}$

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What’s this in standard form

AlladinOne [14]

Answer:

0.614

Step-by-step explanation:

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2 years ago

The area of a rectangular fountain is x2 + 9x + 20 square feet. A 3-foot walkway is built around the fountain. Find the dimensio

Leto [7]

Answer:

(x+11) by (x+10)

Step-by-step explanation:

We know that Area = Length x width

Given: Area = x²+9x+20

Lets sort this out first

Area = x²+5x + 4x + 20

Area = x(x+5) + 4(x+5)

Area = (x+5) (x+4)

Therefore, it is concluded that:

Length 'l' = (x+5) feet

Width 'w' = (x+4) feet

if a 3-foot walkway is built around the fountain, we'll add 3 feet on both sides

Therefore,

Outer Length = (x+5+3+3) = (x+11) feet

Outer Width = (x+4+3+3) = (x+10) feet

Answer:

The fountain is (x+5) by (x+4).

dimensions of the outside border of the walkway are (x+11) by (x+10)

8 0

2 years ago

Adele has 6 sheets of stickers .Bea has 9 sheets of the same stickers.how many stickers do they have altogether?

Jlenok [28]

They have 15 sheets of stickers all together

7 0

2 years ago

Read 2 more answers

What is the domain of the function y=-720t + 3600 ?

Colt1911 [192]

Answer:

We conclude that:

$\mathrm{Domain\:of\:}\:-720t+3600\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:$

Please also check the attached graph.

Step-by-step explanation:

Given

Given the function

$y=-720t\:+\:3600$

To determine

What is the domain of the function y=-720t + 3600

We know that the domain of the function is the set of input argument values for which the function is real and defined.

Given the function

$y=-720t\:+\:3600$

From the given function, it is clear that the function has no undefined points nor domain constraints.

Therefore, the domain of the function is

$-\infty \:$

Thus, we conclude that:

$\mathrm{Domain\:of\:}\:-720t+3600\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:$

Please also check the attached graph.

3 0

2 years ago

The height h of a thrown object as a function of horizontal distance d that it has traveled is a quadratic function. An object i

omeli [17]

Answer:

h(d) = (17/3249)(-d² +114d)

Step-by-step explanation:

For this purpose, it is convenient to translate and scale a quadratic parent function so it has the desired characteristics. We can start with the function ...

f(x) = 1 -x² . . . . . . . has zeros at x = ±1 and a vertex at (0, 1)

We want to horizontally expand this function by a factor of 57, so we can replace x by x/57. We want to vertically scale it by a factor of 17, so the vertex is at (0, 17). Finally, we want to translate the function 57 m to the right, which requires replacing x with x-57. After these transformations, we have ...

f(x) = 17(1 -((x-57)/57)²) = (17/3249)(-x²+114x)

Using the appropriate function name and variable, we have ...

h(d) = (17/3249)(-d² +114d)

5 0

2 years ago