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2 years ago

4 x − 3 x + 2 y (simplify)

1 answer:

6 0

$\huge\text{Hey there!}\\\\\large\text{4x - 3x + 2y}\\\\\large\text{\underline{\underline{COMBINE the LIKE TERMS}}}\\\\\large\text{(4x - 3x) + 2y}\\\\\large\text{4x - 3x = \bf 1x }\large\text{(or you could simply say \underline{x} because a variable by itself}\\\large\text{is understood as an invisible 1)}\\\\\large\text{\bf x + 2y}\\\\\\\boxed{\boxed{\huge\text{Therefore your answer is: x + 2y}}}\huge\checkmark\\\\\large\text{Good luck on your assignment and enjoy your day!}\\\\\\\\\frak{Amphitrite1040:)}$

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a person is standing on top of a smaller building looking across the street at a taller building, which is 260 feet away horizon

Anuta_ua [19.1K]

The height of the smaller building is 94.63 feet, computed using the trigonometric ratios.

In the question, we take AB to be the taller building, where A is its top and B is its base, CD to be the shorter building, where C is its top and D is its base, and CE to be the perpendicular from C to AB.

Given that the horizontal distance between the two buildings is 260 feet, we can say that BC = CE = 260 feet.

The angle of elevation from the top of the shorter building to the top of the taller building is 30°, that is, ∠ECA = 30°.

The angle of depression from the top of the shorter building to the base of the taller building is 20°, that is, ∠ECB = 20°.

When ∠ECB = 20°, then ∠CBD = 20°, as they are alternate angles.

We are asked to find the height of the shorter building, that is, we are asked to find CD.

In ΔCBD,

tan ∠CBD = CD/BD {perpendicular/base},

or, tan 20° = CD/260,

or, CD = 260*tan 20° = 260*0.36397023426 {∵ tan 20° = 0.36397023426},

or, CD = 94.6322609092.

Therefore, the height of the smaller building is 94.63 feet, computed using the trigonometric ratios.

Learn more about heights and distances at

brainly.com/question/2004882

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7 0

2 years ago

Inverse of f(x)=3/2x +6

kvasek [131]

Answer:

f(x) = (x - 6)/(3/2)

Step-by-step explanation:

7 0

3 years ago

The mass of a species of mouse commonly found in houses is normally distributed with a mean of 20.2 grams with a standard deviat

Sophie [7]

Answer:

12.1%

Step-by-step explanation:

Given that:

Mean (μ) = 20.2 grams and standard deviation (σ) = 0.18 grams.

The z score is a score used to determine the number of standard deviations by which the raw score is above or below the mean. A positive z score means that the raw score is above the mean and a negative z score means that the raw score is below the mean. It is given by:

$z=\frac{x-\mu}{\sigma}$

a) For x < 19.99 g:

$z=\frac{x-\mu}{\sigma}\\\\z=\frac{19.99-20.2}{0.18} \\\\z=-1.17$

From the normal distribution table, P(x < 19.99) = P(z < -1.17) = 0.1210 = 12.1%

The probability that a randomly chosen mouse has a mass of less than 19.99 grams is 12.1%

6 0

3 years ago

What is 2 + 2? pls help when you can! <3

Anna [14]

Answer: 2 + 2 is 4 ;-;

5 0

3 years ago

Read 2 more answers

Y=-4-x; domain = {-6, 2, 7} Find range plz

UNO [17]

Step-by-step explanation:

domain is the valid interval for the x (input) values for the function.

the range is the valid interval for the y (result) values of the function.

so, we have a function definition and a valid domain interval for x. we therefore try the x values and see what result values they create. and that defines the range.

x = -6

y = 4 - -6 = 4 + 6 = +10

x = 2

y = 4 - 2 = +2

x = 7

y = 4 - 7 = -3

we have therefore a range of {-3, 2, 10}

3 0

3 years ago