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3 years ago

8

An 8-meter ladder rests against a wall so that the ladder makes an angle of 60 to the power of ring operator with the ground. Ho

w high does the ladder reach up the wall? Round to the nearest tenth.

1 answer:

Novosadov [1.4K]3 years ago

6 0

Answer:

Sin=opposite/hypotenuse

Hypotenuse= 8 meter

Sine 60 * 8 = 7 METERS

Step-by-step explanation:

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What is the equation of the line that is perpendicular to y= -3x + 1 and passes through (2,3)?

Aleonysh [2.5K]

Answer:

$\large\boxed{y=\dfrac{1}{3}x+2\dfrac{1}{3}}$

Step-by-step explanation:

$\text{Let}\ k:y=_1x+b_1\ \text{and}\ l:y=m_2x+b_2.\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\============================\\\\\text{We have}\ y=-3x+1\to m_1=-3.\\\\\text{Therefore}\ m_2=-\dfrac{1}{-3}=\dfrac{1}{3}.\\\\\text{The equation of the searched line:}\ y=\dfrac{1}{3}x+b.\\\\\text{The line passes through }(2,\ 3).$

$\text{Put the coordinates of the point to the equation.}\ x=2,\ y=3:\\\\3=\dfrac{1}{3}(2)+b\\\\3=\dfrac{2}{3}+b\qquad\text{subtract}\ \dfrac{2}{3}\ \text{from both sides}\\\\b=2\dfrac{1}{3}$

3 0

3 years ago

Read 2 more answers

In a clothing store, 75% of the customers buy a shirt, 20% of the customers buy a pair of pants, and 15% of the customers by bot

svlad2 [7]

Answer:

80%

Step-by-step explanation:

75% + 20% - 15% = 80%

The probability is 80%

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2 years ago

Suppose the mean SAT verbal score is 525 with a standard deviation of 100, while the mean SAT math score is 575 with a standard

Ipatiy [6.2K]

Answer:

The mean of the combined math and verbal scores is 1100, while the standard deviation is 141.

Step-by-step explanation:

Normal variables

Normal variables have mean $\mu$ and standard deviation $\sigma$

When we add normal variables, the combined mean is the sum of both means, and the standard deviation is the square root of the sum of both variances. The distribution is still normal.

In this question:

Verbal: $\mu_{V} = 525, \sigma_{V} = 100$ .

Math: $\mu_{M} = 575, \sigma_{M} = 100$

Combined:

$\mu = \mu_{V} + \mu_{M} = 525 + 575 = 1100$

$\sigma = \sqrt{\sigma_{V}^{2}+\sigma_{M}^{2}} = \sqrt{100^2 + 100^2} = 141$

The mean of the combined math and verbal scores is 1100, while the standard deviation is 141.

6 0

2 years ago

Which ordered pair is a solution to the system?

babymother [125]

all you have to do is see whether both variables of each point meet both contraints:

for a) 1<3 and 2>1 is true so a is a solution to the system

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2 years ago

Which ones apply to these triangles? ABC congruent to UVW

Reika [66]

Angle A = angle U since they're both right angles (both 90 degrees). This is what the square marker means.

segment AC = segment UW

Angle C = angle W because they have the same angle marker

---------------------

we have two pairs of congruent angles, with segments between them that are congruent. So we use the ASA property

The final answer is choice E.

7 0

2 years ago