MATHEMATICS COLLEGE

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Answers

Answer 1

Answer:

Answer:

A = 1.5
B = -1/3
C = -4/3

Step-by-step explanation:

For A:

A is smack in the middle of 1 and 2, so it it 1 1/2 or 1.5 (same thing)

For B:

Each tick mark between the numbers represents 1/3
B is on the first tick mark between 0 and -1, so therefore it is -1/3

For C:

C is on the first tick mark between -1 and -2
That means C is -1 1/3
-1 1/3 = -4/3

I hope this helps!

Answer 2

Answer:

Answer:

A ----> +1.5

B------> -0.33

C-------> -0.1322

Step-by-step explanation:

$A\ is\ +1.5\ as\ it\ is\ 1.5\ units\ upwards(positively)\ from\ 0.\nB\ is\ -(1)/(3)\ as\ it\ equates\ to\ -0.33\ which\ is\ between\ 0\ and\ -1.\nC\ is\ -(4)/(3)\ as\ it\ equates\ to\ -1.322\ which\ is\ between\ -1\ and\ -2.\n$

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The slope of a line is -, and the y-intercept is 10/3. What is the equation of the line written in general form?

Answers

I think it should be y=-x+10/3
As slope is y=mx+b so substitute your slope for the coefficient of x and then add your y intercept to the end.

Given that m angle KLH=120^ which statement about the must be true? angle HLM is bisected by angle GLJ is bisected by vec LH . m angle KLG=m angle HLJ m angle HLI=m angle LLM

Answers

The true statement is ∠HLM is bisected byLI

What is bisect?

Bisect means to divide a geometric figure to two equal half.
Dividing line is bisector.

Given that ∠KLH=120°

We know that angle of straight line is 180°

∴∠KLM=180°

∠KLH+∠HLM=180°

120°+∠HLM=180°

∠HLM=60°

From figure, ∠HLI=30° and ∠ILM=30°

Line LI cuts the angle HLM into two equal parts such as HLI and ILM.

Therefore, ∠HLM is bisected by LI

Learn more about angle here:

brainly.com/question/25716982

#SPJ2

Answer:angle hlm is bisected by Lj

Step-by-step explanation:

Two guy wires from the top of a 200-foot radio antenna are anchored to the ground by two large concrete posts. The antenna is perpendicular to the ground and between the two posts. If the angles of depression from the top of the antenna to each of the posts is 46o and 48o respectively, then the distance between the two posts is:_______

Answers

Answer: 373.22 feet

Step-by-step explanation:

The attached photo contains the diagram illustrating the scenario. 2 right angle triangles ACD and BCD are formed.

The distance between the two posts is AD + BD

To determine AD, we would apply the tangent trigonometric ratio which is expressed as

Tan θ = opposite side/adjacent side

Tan 46 = 200/AD

AD = 200/Tan 46 = 200/1.0355

AD = 193.14

To determine BD, we would also apply the tangent trigonometric ratio. Therefore

Tan 48 = 200/BD

BD = 200/Tan 48 = 200/1.1106

BD = 180.08

Therefore, the distance between the two posts is

193.14 + 180.08 = 373.22 feet

For the 405 highway that car pass through a checkpoint, assume the speeds are normally distributed such that μ= 61 miles per hour and δ=4 miles per hour. Calculate the Z value for the next car that passes through the checkpoint will be traveling slower than 65 miles per hour.

Answers

Answer:

$Z = 1$

Step-by-step explanation:

Z - score

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = (X - \mu)/(\sigma)$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 61, \sigma = 4$

Calculate the Z value for the next car that passes through the checkpoint will be traveling slower than 65 miles per hour.

This is Z when X = 65. So

$Z = (X - \mu)/(\sigma)$

$Z = (65 - 61)/(4)$

$Z = 1$

Compare the subtraction problems (6/8-5/8=1/8) and (6/9-7/9=-1/9) why is the answer to the first problem positive nad the answer to the second problem negative select all that apply