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2 years ago

Two angles that are supplementary have a ratio of 7 to 5. what are their measurements?

Mathematics

1 answer:

zzz [600]2 years ago

4 0

7x + 5x = 180
12x = 180
x = 15
Therefore, the 2 angles equal (7*15) and (5*15) which equals
105 degrees and 75 degrees

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Which two ratios represent quantities that are proportional?

vesna_86 [32]

Answer:

Step-by-step explanation:

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2 years ago

Pam’s grandfather has a garden that measures 4 feet by 6 feet. How much will the area be increased if he doubles the length and

ExtremeBDS [4]

Answer:

The area will be increased by 72 feet.

Step-by-step explanation:

4 x 6 = 24

Now we have to double those lengths.

We know that 4 x 2 is 8 and 6 x 2 is 12.

So the new equation would be: 8 x 12 = 96

Now we take the original area and subtract it by the new area.

96 - 24 = 72

Hope this helps:)

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1 year ago

Savannah is 9 years older thanDevante. The sum of their ages is 53. How old are Savannah and Devante?

pickupchik [31]

Answer:

Devante is 23 and Savannah is 32.

Step-by-step explanation:

We can set up a system of equations.

s - savannah's age

d - devante's age

s = d + 9

s + d = 53

Now we can substitute (d + 9) for s in the second equation.

(d + 9) + d = 53

2d + 9 = 53

2d = 46

To find Savannah's age, we just add 9 to Devante's age. (plugging in 23 for d)

23 + 9 = 32

6 0

2 years ago

Question 8 Find the unit vector in the direction of (2,-3). Write your answer in component form. Do not approximate any numbers

slamgirl [31]

Answer:

The unit vector in component form is $\hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}} \right)$ or $\hat{u} = \frac{2}{\sqrt{13}}\,i-\frac{3}{13}\,j$ .

Step-by-step explanation:

Let be $\vec u = (2,-3)$ , its unit vector is determined by following expression:

$\hat {u} = \frac{\vec u}{\|\vec u \|}$

Where $\|\vec u \|$ is the norm of $\vec u$ , which is found by Pythagorean Theorem:

$\|\vec u\|=\sqrt{2^{2}+(-3)^{2}}$

$\|\vec u\| = \sqrt{13}$

Then, the unit vector is:

$\hat{u} = \frac{1}{\sqrt{13}} \cdot (2,-3)$

$\hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}} \right)$

The unit vector in component form is $\hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}} \right)$ or $\hat{u} = \frac{2}{\sqrt{13}}\,i-\frac{3}{13}\,j$ .

6 0

2 years ago

Please help with geomtry

crimeas [40]

Here are the answers you were looking for:

A) Yes

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2 years ago