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Fed [463]
3 years ago
11

NEED HELP!!! Use what you know about special right triangles to find the missing measures. Show all calculations that lead to yo

ur final results. Please show calculations as well.

Mathematics
1 answer:
Rasek [7]3 years ago
6 0

Answer:a) a=22, b=11

b) m=7\frac{\sqrt{2} }{2}, n= \frac{98-7\sqrt{2} }{2}

Step-by-step explanation:

You should use trigonometry ratios as required and then you should use pythagoras theorem

In a) cosine(30°)= base/hypotenuse,

where 11√3 is the base

"a" is hypotenuse and

"b" is perpendicular

from this you can find the value of perpendicular then you should use pythagoras theorem to find the value of hypotenuse

pythagoras theorem is

base²+perpendicular²= hypotenuse²

Same is applied on (b) right triangle as, sine(45°)=perpendicular/hypotenuse

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Briana has 4 1/2 cups of oats. She uses 2 1/4 cups of oats to make oatmeal- raisins cookies, then borrow 1 cup of oats from her
insens350 [35]

Answer:

She has enough with \frac{3}{4} cups left over.

Step-by-step explanation:

For this equation, it's probably easiest to use improper fractions.

At the start, she has 4\frac{1}{2} cups, or \frac{9}{2}, which can be converted to \frac{18}{4} (which is useful for the next part) by multiplying the numerator and denominator by 2.

When she uses 2\frac{1}{4} cups, which can be converted to \frac{9}{4}. When subtracting this from the original, you get \frac{18}{4}-\frac{9}{4}=\frac{9}{4}.

She borrows another cup, or \frac{4}{4} of a cup, which gets added on to the previous result, giving \frac{9}{4}+ \frac{4}{4}=\frac{13}{4}.

The recipe calls for 2\frac{1}{2} cups, which can be converted to \frac{5}{2} or \frac{10}{4}.

\frac{13}{4}-\frac{10}{4}=\frac{3}{4}, meaning she has \frac{3}{4} cups left over.

** solving this mainly uses conversion to improper fractions and adding/subtracting fractions, which may be skills you would like to practice. I'm always happy to help!

6 0
3 years ago
A bus ride for a senior citizen cost $1.25. A monthly pass costs $35.
Bond [772]

Answer:

25 or more

Step-by-step explanation:

30/1.is 24 so it would be 25 or more times for it to be a better deal

7 0
3 years ago
Which expression is equivalent to [(3xy^-5)^3 / (x^-2y^2)^-4]^-2
True [87]
<span>The answer is (x</span>¹⁰<span>y</span>¹⁴<span>)/729.

Explanation:
We can begin simplifying inside the innermost parentheses using the properties of exponents. The power of a power property says when you raise a power to a power, you multiply the exponents. This gives us

[(3</span>³<span>x</span>³<span>y</span>⁻¹⁵<span>)/(x</span>⁸<span>y</span>⁻⁸<span>)]</span>⁻²<span>.

Negative exponents tell us to "flip" sides of the fraction, so within the parentheses we have
[(3</span>³<span>x</span>³<span>y</span>⁸<span>)/(x</span>⁸<span>y</span>¹⁵<span>)]</span>⁻²<span>.

Using the quotient property, we subtract exponents when dividing powers, which gives us
(3</span>³<span>/x</span>⁵<span>y</span>⁷<span>)</span>⁻²<span>.

Evaluating 3</span>³<span>, we have
(27/x</span>⁵<span>y</span>⁷<span>)</span>⁻²<span>.

Using the power of a power property again, we have
27</span>⁻²<span>/x</span>⁻¹⁰<span>y</span>⁻¹⁴<span>.

Flipping the negative exponents again gives us x</span>¹⁰<span>y</span>¹⁴<span>/729.</span>
4 0
3 years ago
Read 2 more answers
Answer<br> (5.2 + 6.3) - 12 ÷ 2.5
sweet [91]

Answer:

-0.2

Step-by-step explanation:

5.2 + 6.3 = 11.5

11.5 - 12 / 2.5

-0.5 / 2.5

= -0.2

5 0
3 years ago
Read 2 more answers
The Jacksons went on a 700 mile trip. On the first day they drove 6 and 2/3 hours and on the second day the drove 5 and 3/4 hour
likoan [24]

Answer:

Step-by-step explanation:

Total number of miles is 700.

On the first day, they drove 6 and 2/3 hours. We would convert 6 and 2/3 hours to improper fraction. It becomes 20/3 hours. On the second day, they drove 5 and 3/4 hours. Converting to improper fraction, it becomes 23/4 hours. Total number of hours that they drove during the first two days is the sum of hours driven on the first day and hours driven on the Second day. It becomes

20/3 + 23/4 = (80 + 69)/12

= 149/12 hours

7 0
3 years ago
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