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3 years ago

Look at triangle ABC:What is the length (in millimeters) of side AC of the triangle?

Mathematics

2 answers:

Olenka [21]3 years ago

6 0

The correct answer is 50 millimeters

Hope this helped :)

user100 [1]3 years ago

3 0

One question, where's the triangle??? So how can I answer for you.

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Find a nonzero vector orthogonal to the plane through the points: ????=(0,0,1), ????=(−2,3,4), ????=(−2,2,0).

ser-zykov [4K]

Answer:

The nonzero vector orthogonal to the plane is <-9,-8,2>.

Step-by-step explanation:

Consider the given points are P=(0,0,1), Q=(−2,3,4), R=(−2,2,0).

$\overrightarrow {PQ}==$

$\overrightarrow {PR}==$

The nonzero vector orthogonal to the plane through the points P,Q, and R is

$\overrightarrow n=\overrightarrow {PQ}\times \overrightarrow {PR}$

$\overrightarrow n=\det \begin{pmatrix}i&j&k\\ \:\:\:\:\:-2&3&3\\ \:\:\:\:\:-2&2&-1\end{pmatrix}$

Expand along row 1.

$\overrightarrow n=i\det \begin{pmatrix}3&3\\ 2&-1\end{pmatrix}-j\det \begin{pmatrix}-2&3\\ -2&-1\end{pmatrix}+k\det \begin{pmatrix}-2&3\\ -2&2\end{pmatrix}$

$\overrightarrow n=i(-9)-j(8)+k(2)$

$\overrightarrow n=-9i-8j+2k$

$\overrightarrow n=$

Therefore, the nonzero vector orthogonal to the plane is <-9,-8,2>.

8 0

3 years ago

Can people help me please to find the volume about question number 10 please and tell me the answer step by step please I need h

Alecsey [184]

#10
Volume of a cylinder: $\pi$ r²h

Plug the numbers in.

$\pi$ 3²15 = <span>424
</span>
The volume of the pipe is 424 cm³.

7 0

3 years ago

jenny wants to buy a winter coat for $200. the store advertises that customers can take 25% off the original price and then take

777dan777 [17]

Hello!

Let's check:

200 * 25% = 50

200 - 50 = 150

150 * 10% = 15

150 - 15 = 135

So, with the 25% and then an extra 10% off, the coat would cost $135.

200 * 35% = 70

200 - 70 = 130

So, Jenny's friend is incorrect, because that is not the same as a 35% discount.

6 0

3 years ago

The intensity, I, of a sound varies inversely with the square of the distance, r, from the source of the sound. Write an equatio

charle [14.2K]

Answer:The equation relating I, r, and k is I =K/r²

Step-by-step explanation:

The intensity, I, of a sound varies inversely with the square of the distance, r, from the source of the sound can be written as

I ∝ 1/r²

Introducing the constant of proportionality, K we have that

I =K x 1/r²

Therefore , the equation relating I, r, and k is I =K/r²

7 0

3 years ago

Look at the image below plz correct answers Surface area of cones 15 points

monitta

Answer:

$A\approx 282.7\ m^2$

Step-by-step explanation:

1. Approach

The easiest method to solve this problem is to use the Pythagorean theorem to find the height of the cone. Then one can substitute the values given and found on the cone into the formula to find the surface area in order to solve for the surface area of the given cone.

2. Height of the cone

Imagine drawing a line from the tip of the cone down to the center of the base. This line will form a right angle with the base, thus, a right triangle is formed between the line, the radius (the distance from the center to the circumference or outer edge on a circle) of the base, and the incline of the cone. The Pythagorean theorem is a formula that relates the sides of a right triangle. This formula is as follows:

$a^2+b^2=c^2$

Where (a) and (b) are the legs or the sides adjacent to the right angle of the right triangle, and (c) is the hypotenuse or the side opposite the right angle of the right triangle. Substitute the given values into the formula and solve for the unknown, or rather the height of the cone:

$a^2+b^2=c^2$

$a^2+5^2=13^2$

Simplify,

$a^2+5^2=13^2$

$a^2+25=169$

Inverse operations,

$a^2+25=169$

$a^2=144$

$a=12$

$h=12$

3. Find the surface area of the cone.

The following formula can be used to find the surface area of a cone:

$A=\pi r(r+\sqrt{h^2+r^2})$

Where ( $\pi$ ) represents the numerical value (3.1415...), (r) represents the radius of the base, and (h) represents the height of the cone. Substitute the given values into the formula and solve for the surface area: