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3 years ago

P is an odd number explain why p^2 + 1 is always an odd number

1 answer:

6 0

P^2+1 even because
Step-by-step explanation:
P is an odd number
Any odd number squared is odd
Therefore,P^2+1 is odd
Any odd number= because odd odd =even
Be=P^2+1 is odd odd =even
... P^2+1 = even

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A triangular pyramid has a base shaped like an equilateral triangle. The legs of the equilateral triangle are all 20 inches long

Pie

Answer:

Surface area of pyramid with base equilateral triangle is $390+100\sqrt{3}$ square inches

Step-by-step explanation:

Recall the following result:

The total surface area(S) of a regular pyramid is given by,

$S = \frac{1}{2}pl+B$ ...... (1)

Here, p represents the perimeter of the base , $l$ the slant height and B the base area of the pyramid.

From the given information:

Side of equilateral triangle = 20 inches

Slant height of the pyramid( $l$ ) = 13 inches.

First find the perimeter and Area of the base pyramid.

Perimeter of equilateral triangle(p) = $3 \times (side)$

= $3 \times 20 = 60 inches$

Area of equilateral triangle(B) = $\frac{\sqrt{3} }{4} \times (side)^{2}$

= $\frac{\sqrt{3} }{4} \times (20)^2 = 100\sqrt{3}$ square inches.

Substitute the above values in equation (1) as shown below:

$S=\frac{1}{2} \times 60 \times 13+100\sqrt{3}$

$S= 390+100\sqrt{3}$ square inches

Hence, the surface area of pyramid with base equilateral triangle is $390+100\sqrt{3}$ square inches.

6 0

3 years ago

Find the value of x in the triangle... Then classify the triangle as acute, right or obtuse

ddd [48]

Answer:

x = 44

right

Step-by-step explanation:

The sum of the angles in a triangle add to 180

90+ 46+x = 180

Combine like terms

136+x = 180

Subtract 136 from each side

136+x-136=180-136

x =44

Since we have a 90 degree angle it is a right triangle

4 0

3 years ago

Amelia measured the elementary school and made a scale drawing. The scale of the drawing was 11 mm, 4 m. If the schoolyard is 48

cestrela7 [59]

Answer:

176

Step-by-step explanation:

every 11 mm in the drawing equals 4m.

every 1 mm in the drawing equals 4/11 m

Actual size of school yard = 484*4/11 = 176m

3 0

2 years ago

Find the inverse of y=-12x+7

Oksana_A [137]

1.1 Solve y-12x+7 = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line y-12x+7 = 0 and calculate its properties

According to: https://www.tiger-algebra.com/drill/y=12x-7/

5 0

3 years ago

Read 2 more answers

A standardized test was given to a set of high school juniors and the distribution of the data is bell shaped. The mean score is

stira [4]

Answer:

920 points.

Step-by-step explanation:

We have been given that the mean score for a standardized test is 800 and the standard deviation is 120. To qualify for a special summer camp for accelerated students, a student must score within the top 16% of all scores on the test.

First of all we will find probability of 0.16 using normal distribution table.

Using normal distribution our Z score will be 0.994458

Now we will use raw-score formula to find the score (x) that a student must make to qualify for summer camp.

$x=\text{Mean}+\text{ Standard deviation* Z score}$