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bekas [8.4K]
2 years ago
5

I need help please thanks​

Mathematics
2 answers:
EleoNora [17]2 years ago
8 0

Answer:

Wouldn't the answer just be 30 degrees?

dolphi86 [110]2 years ago
5 0

Answer:

150 degrees

Step-by-step explanation:

150 degrees

Remember, the bigger the angle, the bigger the degree.

Hope this helps!

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What are the coordinates of point B on AC Such that the ratio of AB to AC is 5:6
Oksi-84 [34.3K]

Answer:

\vec B = \left(x_{A}+\frac{5}{6}\cdot (x_{C}-x_{A}), y_{A}+\frac{5}{6}\cdot (y_{C}-y_{A}), z_{A}+\frac{5}{6}\cdot (z_{C}-z_{A})\right)

Step-by-step explanation:

Let suppose that A, B, and C have the following points with respect to origin in the Euclidean space:

\vec A = (x_{A}, y_{A}, z_{A})

\vec B = (x_{B}, y_{B}, z_{B})

\vec C = (x_{C}, y_{C}, z_{C})

Besides, let consider that locations of A and B are currently known. The ratio is:

\frac{AB}{AC} = \frac{5}{6}

AB = \frac{5}{6} \cdot AC

Vectorially speaking, expression can be rewritten in the following terms:

\overrightarrow{AB} = \frac{5}{6}\cdot \overrightarrow{AC}

(x_{B}-x_{A}, y_{B}-y_{A}, z_{B}-z_{A}) = \frac{5}{6}\cdot (x_{C}-x_{A}, y_{C}-y_{A}, z_{C}-z_{A})

Now, each side of the equation is summed vectorially by \vec A and coordinates of point B are finally found:

\vec B = \left(x_{A}+\frac{5}{6}\cdot (x_{C}-x_{A}), y_{A}+\frac{5}{6}\cdot (y_{C}-y_{A}), z_{A}+\frac{5}{6}\cdot (z_{C}-z_{A})\right)

3 0
3 years ago
X/10=7 what does x equal?
marissa [1.9K]

Answer:

Step-by-step explanation:

x/10=7

x=70

3 0
4 years ago
Read 2 more answers
A cone shaped paper water cup has a height of 12 cm and a radius of 6 cm. If the cup is filled with water to half its height, wh
monitta

Answer:

The portion of the volume of the cup that is filled with water is \frac{1}{8}

Step-by-step explanation:

step 1

Find the volume of the paper water cup

The volume of the cone is equal to

V=\frac{1}{3}\pi r^{2}h

we have

r=6\ cm

h=12\ cm

substitute

V=\frac{1}{3}\pi (6)^{2}(12)

V=144\pi\ cm^{3}

step 2

If the cup is filled with water to half its height, find out what portion of the volume of the cup is filled with water

Remember that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

In this problem the similar cone has half the height of the complete cone

so

The scale factor is equal to 1/2

therefore

The volume of the cup that is filled with water is equal to the volume of the complete cup by the scale factor elevated to the cube

V=(1/2)^{3}(144\pi)=(1/8)144\pi\ cm^{3}

therefore

The portion of the volume of the cup that is filled with water is

\frac{1}{8}

8 0
3 years ago
Read 2 more answers
A welder charges a one-time fee and an hourly
Reptile [31]

Answer:

y=22h+18, where h is the working hour, y is the charge

Step-by-step explanation:

6 0
3 years ago
Match each statement in the proof with the correct reason.
Masteriza [31]

Answer:

See explanation

Step-by-step explanation:

<u>Definition of parallelogram:</u> Parallelogram is a quadrilateral with two pairs of parallel sides.    

<u>Definition of transversal (diagonal):</u> A line that cuts across two or more (usually parallel) lines.

<u>Definition of the same side interior angles:</u> These angles are located exactly as their name describes. They are "interior" (between the parallel lines), and they are on the same side of the transversal (diagonal).

<u>The same-side interior angles theorem</u> states that when two lines that are parallel are intersected by a transversal line, the same-side interior angles that are formed are supplementary

       Statement                          Reason

1. ABCD is a parallelogram  -  Given

2. \overline{AB}\parallel \overline {CD}                           -  Definition of parallelogram

3. \overline{AD} is a diagonal of \overline{AB} and \overline{CD} - Definition of diagonal

4.  \angle A and \angle D are the same side interior angles - Definition of same-side interior angles

5.  \angle A is supplementary to  \angle D - Same-Side Interior Angles Theorem

5 0
3 years ago
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