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3 years ago

Find the area of a triangle with height 5m and base 13m.

Mathematics

2 answers:

Nonamiya [84]3 years ago

8 0

Answer:

area of rectangle = 1/2bh

= 1/2*13*5

= 32.5

Tems11 [23]3 years ago

6 0

Answer:

32.5 m

Step-by-step explanation:

A=Bh/2

A=13x5/2

A=65/2

A=32.5

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LITTERLY HELP ME PLEASEE..... 2/x-4x/2x-3=-2<br> PLEASEE I INSERTED A PIC

Stels [109]

Answer:

x = -3

Step-by-step explanation:

Given expression is,

$\frac{2}{x}- \frac{4x}{2x-3}=-2$

$\frac{2(2x-3)}{x(2x-3)}-\frac{4x(x)}{x(2x-3)}=-2$

$\frac{2(2x-3)-4x^{2} }{x(2x-3)}=-2$

(4x - 6) - 4x² = -2x(2x - 3)

4x - 6 - 4x² = -4x² + 6x

4x - 6 = 6x

6x - 4x = -6

2x = -6

x = -3

3 0

3 years ago

Manda has $1,500 to invest. She invested this money in a certificate of deposit that pays 5.75% over 2 years. How much interest

nata0808 [166]

I think its a) 172.50 but im not exactly sure.

4 0

3 years ago

The animal shelter has both male and female Labrador retrievers in yellow, brown, or black. There is and equal number of each ki

Illusion [34]

Answer:

Step-by-step explanation:

There are choices when it comes to color (3). Then there is the choice between a boy dog or a girl dog (2). Multiply the number of colors by the number of genders. (6)

When choosing a dog from random, you can either choose:

Brown/M

Brown/F

Black/M

Black/F

Yellow/M

Yellow/F

(This list is called the Sample Space, a list of all possible outcomes)

Because the text says that all types of dogs are found in even numbers, it would not matter if there was 6, 12, 18, ... amount of dogs.

When looking at this sample space, you can see that the chance of choosing a Yellow/F dog, is 1 in 6.

5 0

3 years ago

Write the equation of the line perpendicular to + = that passes through (−,−). Write your answer in slope-intercept form.

Ad libitum [116K]

Answer:

y = 0.25x - 5

Step-by-step explanation:

Given line is 4x + y = 3

or y = -4x + 3

Comparing this with slope-intercept form y = mx + c :

slope of this line is -4

Product of slopes of perpendicular lines = -1

⇒ slope of a line perpendicular to this is $\frac{-1}{-4}$ = $\frac{1}{4}$ = 0.25

This line also passes through the point (-4,-6)

The equation of a line having slope m and passing through a point (h,k) is

y - k = m(x - h)

⇒ equation of line perpendicular to given line is y - (-6) = 0.25×{x - (-4)}

⇒ y + 6 = 0.25×(x + 4)

⇒ y + 6 = 0.25x + 1

⇒ <u>y = 0.25x - 5</u>

This is in the slope-intercept form y = mx + c with slope m = 0.25 and y-intercept (0,-5)

6 0

3 years ago

Calls to a customer service center last on average 2.8 minutes with a standard deviation of 1.4 minutes. An operator in the call

Natali5045456 [20]

Answer:

The expected total amount of time the operator will spend on the calls each day is of 210 minutes.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

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

$Z = \frac{X - \mu}{\sigma}$

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 p-value, we get the probability that the value of the measure is greater than X.

n-values of normal variable:

Suppose we have n values from a normally distributed variable. The mean of the sum of all the instances is $M = n\mu$ and the standard deviation is $s = \sigma\sqrt{n}$