All categories

3 years ago

$

Mathematics

1 answer:

evablogger [386]3 years ago

4 0

Answer:Number Example Natural number are those number which we can count.It denoted by N

Step-by-step explanation:

You might be interested in

Triangle ABC is shown below. Triangle A B C is shown. The length of side A B is 2 x, the length of side B C is 4 x minus 10, and

Sedbober [7]

Answer:the length of line segment AC is 14

Step-by-step explanation:

The diagram is shown in the attached photo

Since Angle A B C and B C A are congruent. It means that they are equal. An isosceles triangle is a triangle that has two equal sides and two equal base angles. Since Angle A B C and B C A are equal, it means that the triangle is an isosceles triangle. It also means that sides AC and AB are equal. The expression becomes

3x - 7 = 2x

3x - 2x = 7

x =7

To determine the length of line segment AC. We will substitute x = 7 into 3x - 7. It becomes

3×7 - 7 = 21 - 7 = 14

6 0

3 years ago

Read 2 more answers

Stuck on this one, can somebody help me

melamori03 [73]

Answer:

HI ≈ 12.22

Step-by-step explanation:

tan I = GH / HI

tan 42° = 11 / HI = 0.90

HI = 11/0.90 = 12.22

3 0

4 years ago

Read 2 more answers

If you had a 15 foot ladder, how far away from the base of a wall would you have to put it to reach a window 12 feet up?

Kruka [31]

Answer:

9.000000001

Step-by-step explanation:

If the hypotenuse is 15, the ladder, facing the right angle, and the opposite is 12 we need to use SOH to find the angle.

sin of angle is opposite / hypotenuse

sin of angle is 12 / 15

12/15 = 0.8

sin^-1 of 0.8 = 53.13010235

Angle is that

Then we do this again but a different equation

cos of angle is adjacent (x which we are looking for) / hypotenuse

cos of 53.13... is x / 15

(15 x cos of 53.13... )is x

So 15 x cos of 53.13... is 9.000000001 feet away.

5 0

3 years ago

Find the midpoint of the segment having endpoints (0 ,1/8) and (-4/5 ,0)

kvasek [131]

Answer:

Mid point of the given end points = $(\frac{-2}{5},\frac{1}{16} )$

Step-by-step explanation:

Given the end points of the line segment are :

(0, $\frac{1}{8}$ ) & ( $\frac{-4}{5}$ ,0)

We will use the mid point formula when two points are: (x₁,y₁) & (x₂,y₂)

mid point = $(\frac{x_{1} +x_{2} }{2},\frac{y_{1} +y_{2} }{2} )$

now put the value of x₁ = 0

x₂ = $\frac{-4}{5}$

y₁ = $\frac{1}{8}$

y₂ = 0

mid point = $(\frac{0-\frac{4}{5} }{2},\frac{\frac{1}{8}+0 }{2})$

= $(\frac{-2}{5},\frac{1}{16} )$

That's the final answer.

3 0

3 years ago

Some of Mrs. Turay’s eighth graders took the PSAT test. Score totals of ten of her students are below. Calculate the mean and th

den301095 [7]

Answer:

(a) Mean=74

(b) Median=70

Step-by-step explanation:

We have been given a data set of PSAT scores of Mrs. Turay's eight graders. We are asked to find mean and median of the given data set.

(a) Let us find mean of data set by dividing the sum of given scores by the number of students.

$\text{Mean}=\frac{60+62+67+69+70+70+71+75+76+120}{10}$

$\text{Mean}=\frac{740}{10}=74$

Therefore, the mean test score will be 74.

(b) Now let us find median of our given data set. We have been given that number of students is 10, therefore, our median will be the average of 5th and 6th term.

60, 62, 67, 69, 70, 70, 71, 75, 76, 120.

We can see that 5th term is 70 and 6th term is 70 as well.

$\text{Median}=\frac{70+70}{2}$

$\text{Median}=\frac{140}{2}$

$\text{Median}=70$

Therefore, the median test scores will be 70.

(c) We can see that our data set has an outlier score as 120, which has increased the mean. Mean score is greater than median score. Since median is not affected by extreme value outliers, therefore, median will be the best measure of center for given test scores.

3 0

4 years ago

Read 2 more answers