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ahrayia [7]
2 years ago
6

What is the highest common factor of 42 and 90

Mathematics
1 answer:
Mazyrski [523]2 years ago
4 0
The gfc of 42 and 90 is 6
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Use the diagram attached below. Find the straight distance between the zoo and movie theater.
Vesnalui [34]

Answer:

The distance would be around 9.66 blocks

Step-by-step explanation:

If you draw a straight line from zoo to movie theater, we have a triangle.

The given angle is 86 degrees, the two sides adjacent to it are 6 and 8 and we want to find the side opposite (let it be "p") to the given angle.

We will use cosine rule to find this. The rule is:

p^2=a^2+b^2-2abcosP

Where

a and b are the two adjacent sides to the given angle

a = 6

b = 8

p is what we are looking for

P is the angle given

So, substituting and finding the value:

p^2=a^2+b^2-2abcosP\\p^2=6^2 + 8^2 - 2(6)(8)Cos(86)\\p^2=36+64-96Cos(86)\\p^2=100-96Cos(86)\\p^2=93.3033\\p=\sqrt{93.3033}\\p=9.66

The distance would be around 9.66 blocks

7 0
3 years ago
If the measure of a central angle is 213 degrees, then the measure of the arc it intercepts is
Leto [7]

Answer:

\Delta s = \frac{71\pi}{60}\cdot r

Step-by-step explanation:

Let r be the radius of the circle, the measure of the arc is equal to:

\Delta s = \frac{213^{\circ}}{360^{\circ}}\cdot 2\pi \cdot r

\Delta s = \frac{71\pi}{60}\cdot r

8 0
3 years ago
What is the standard form equation of the line shown below? Graph of a line going through negative 1, 5 and 2, 4
natima [27]

Answer:

y = -1/3x + 14/3

Step-by-step explanation:

We have the standard equation as;

y = mx + b

where m is the slope and b is the y-intercept

the given points are;

(-1,5) and (2,4)

So we plug x and y for each of the points

then we create two linear equations which we can solve simultaneously to get the values of m and b

From the points;

5 = -m + b•••••••(i)

4 = 2m + b

from i;

b = 5 + m

substitute this into equation ii

4 = 2m + 5 + m

4 = 3m + 5

4-5 = 3m

3m = -1

m = -1/3

Recall;

b = 5 + m

b = 5-1/3

b = 14/3

so we have the equation as;

y = -1/3x + 14/3

Multiply through by 3

3y = -x + 14

7 0
3 years ago
Can you please do all 4 and give me the 4 letter code.
padilas [110]

If you want I can show you how to solve it

6 0
3 years ago
Read 2 more answers
3/4 divided by 6 and 2/3
Talja [164]
It would be 0.125 for the first answer
8 0
3 years ago
Read 2 more answers
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