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3 years ago

I am very stuck on this

Mathematics

2 answers:

Burka [1]3 years ago

6 0

Answer:

∡'s are 172.5° and 7.5°

Step-by-step explanation:

x = 23(180-x)

x = 4140 - 23x

add 23x to each side

24x = 4140

x = 4140/24

x = 172.5

nata0808 [166]3 years ago

6 0

So, supplementary angles is an angle pair that adds up to 180 degrees.

If one of the angles is 23 times larger than the other angle, then the other angle would be 1 times larger, due to the reflexive prop.

So combined, the angle pair is 24 times larger than the small angle. And since we know that the supplementary angle is 180, it's something that easy math can solve.

For the <u>small angle</u>:

180 / 24 --> 7.5 degrees.

Now with the <u>big angle</u> that 23 times that:

7.5 * 23 --> 172.5 degrees.

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IgorLugansk [536]

Answer:

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Step-by-step explanation:

im 13 so im kinda lost lol and bored from covi.d 19

5 0

3 years ago

Does anyone know how to solve this?

MrRissso [65]

9514 1404 393

Answer:

Step-by-step explanation:

The tangent of the angle can be found using the identity for the tangent of the difference of angles.

tan(α-β) = (tan(α) -tan(β))/(1 +tan(α)tan(β))

The tangent of the angle of each vector is the ratio of the j coefficient to the i coefficient.

tan(α) = -2/3

tan(β) = 4/7

tan(α-β) = (-2/3 -4/7)/(1 +(-2/3)(4/7))

= (-14-12)/(21 -8) = -26/13 = -2

Then the magnitude of the angle between the vectors is ...

arctan(2) ≈ 63.43°

5 0

3 years ago

1. Find the product. Simplify. 13/14 of 10/9. A. 15/42 B. 5/21 C. 2/7 D. 5/6 2. Andy has 5 pots, and each pot can hold 3/8 pound

Rufina [12.5K]

1) Resultant fraction: $\frac{65}{63}$

2) Total soil: $1\frac{7}{8}$ pounds

3) Result of the product: $\frac{35}{2}$

Step-by-step explanation:

In this problem, we want to find the product between the two fractions

$\frac{13}{14}$

and

$\frac{10}{9}$

In order to find this product, we have to multiply the numerators of each fraction and the denominators of each fraction. We get:

$\frac{13}{14}\cdot \frac{10}{9}=\frac{13\cdot 10}{14\cdot 9}=\frac{130}{126}$

Now we simplify, dividing both numerator and denominator by 2:

$\frac{130/2}{126/2}=\frac{65}{63}$

And the fraction cannot be further simplified.

Here we have:

n = 5 (number of pots that Andy has)

$s=\frac{3}{8}$ (amount of soil (in pounds) that each pot can contain)

In order to find the amount of soil that Andy needs to fill all the pots, we have to multiply the number of pots (n) by the amount of soil that each pot can contain (s).

If we do so, we find:

$t=n \cdot s = 5 \cdot \frac{3}{8}=\frac{5\cdot 3}{8}=\frac{15}{8}$