All categories

2 years ago

An angle measures 7.4° less than the measure of its complementary angle. What is the measure of each angle?

Mathematics

1 answer:

Xelga [282]2 years ago

5 0

Answer:

41.3° and 48.7°

Step-by-step explanation:

Complementary angles are angles with the sum of 90°

if one of the angle is 7.4° less than other

(90 - 7.4) ÷ 2 = 41.3° is the measure of smaller angle and

41.3 + 7.4 = 48.7° is the measure of bigger angle

You might be interested in

Help answer question about triangles!

Anna11 [10]

yes they are similiar is sam shape diffrent siz

4 0

3 years ago

Read 2 more answers

Rationalize the denominator 2√7+√3/3√7-√3

Dahasolnce [82]

Answer:

$\frac{2 \sqrt{7} + \sqrt{3}}{3 \sqrt{7} - \sqrt{3} } = \frac{2 \sqrt{7} + \sqrt{3}}{3 \sqrt{7} - \sqrt{3} } . \frac{3 \sqrt{7} + \sqrt{3} }{3 \sqrt{7} + \sqrt{3} } \\ \\ = \frac{(2 \sqrt{7} + 3)(3 \sqrt{7} + \sqrt{3}) }{(3 \sqrt{7} - 3)(3 \sqrt{7} + \sqrt{3} ) } \\ \\ = \frac{(42 + 2 \sqrt{21} + 9 \sqrt{21} + 3 \sqrt{21} )}{63 - 3} \\ \\ = \frac{42 + 2\sqrt{21} + 9 \sqrt{21} + 3 \sqrt{21} }{60}$

5 0

2 years ago

Read 2 more answers

What is the<br> product of 2/3<br> and 4/5?

Paul [167]

Well, product means multiply so we need to multiply these fractions.

2 4
--- x --- =
3 5

now, when you are multipliying fractions you multiply the top and the bottom with the other one.
so 2 times 4 and 3 times 5
and you get
8
--
15

since this fraction can not be simplifyed this is the final answer 8/15

8 0

3 years ago

Read 2 more answers

Your 6 1/4 year investment of $40,000 at 14% compounded quarterly is worth how much now?

KengaRu [80]

The formula to be used here is:

F = P(1+i)ⁿ
where
P = 40000
n = 6 1/4 years

Let's find i first which has to be converted to compounded annually.

i = (1 + r/m)^m - 1
where m = 4 because there are 4 quarters in 1 yr; and r is the given 0.14.
i = (1 + 0.14/4)⁴ - 1 = 0.1475

Thus,
F = (40000)(1+0.1475)^(6 1/4)
<em>F = $94,517.96</em>

4 0

2 years ago

Lindsay is 5 years younger than Mark. Seven years ago, the sum of their ages was 31.

Rashid [163]

Answer:

The present age of Mark is 25 years.

And present age of Lindsay is 20 years.

Step-by-step explanation:

Let us assume:

The present age of Lindsay = l

The present age of Mark = m

⇒ Age of Lindsay seven years ago = (l -7) years

and Age of Mark seven years ago = (m -7) years

According to question:

Lindsay is 5 years younger than Mark ⇒ l = m - 5

Seven years ago, the sum of their ages was 31 ⇒ (l-7) + (m -7) = 31

So, the given set of equation are:

l = m - 5 ......... (1)

(l-7) + (m -7) = 31

⇒ ((m - 5) -7) + (m -7) = 32 (from (1)

or, m -12 + m - 7 = 31

or, 2m = 31 + 19 = 50

⇒ m = 50 / 2 = 25, or m = 25

Hence,the present age of Mark = 25 years

So,the present age of Lindsay = 25 - 5 = 20 years

7 0

2 years ago