3 years ago

=

Mathematics

1 answer:

Georgia [21]3 years ago

5 0

Answer:

the answer should be D.

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Can someone answer this question please? Thank u

laila [671]

Answer:

1 1/4

Step-by-step explanation:

3 solos each for 5/12

so:

3/1 x 5/12

=15/12

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3 years ago

3(2j-k) = 108, for j

Phoenix [80]

$3(2j-k)=108\\
2j-k=36\\
2j=36+k\\
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4 years ago

Captain John Smith earns $3,300 a month in the Air Force. If the Air Force puts 6% into his pension, how much goes into his pens

Anuta_ua [19.1K]

Find 6% of 3,300 by multiplying

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3 years ago

A club charges a rental of $400 per day for the dining hall and a fixed amount per guest for a meal. The graph shows the total c

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3 years ago

Right △ABC has its right angle at C, BC=4 , and AC=8 .

PolarNik [594]

Answer:

Part A) $sin(A)=\frac{\sqrt{5}}{5}$

Part B) $tan(B)=2$

Part C) $sec(A)=\frac{\sqrt{5}}{2}$

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the length side AB (hypotenuse of the right triangle)

Applying the Pythagorean Theorem

$AB^2=BC^2+AC^2$

substitute the given values

$AB^2=4^2+8^2$

$AB^2=80$

$AB=\sqrt{80}\ units$

simplify

$AB=4\sqrt{5}\ units$

step 2

Find sin(A)

we know that

In the right triangle ABC

$sin(A)=\frac{BC}{AB}$ ----> by SOH (opposite side divided by the hypotenuse)

substitute the given values

$sin(A)=\frac{4}{4\sqrt{5}}=\frac{\sqrt{5}}{5}$

step 3

Find tan(B)

we know that

$tan(B)=\frac{AC}{BC}$ ----> by TOA (opposite side divided by adjacent side)

substitute the values

$tan(B)=\frac{8}{4}=2$

step 4

Find sec(A)

we know that

$sec(A)=\frac{1}{cos(A)}$

$cos(A)=\frac{AC}{AB}$ ----> by CAH

$sec(A)=\frac{AB}{AC}$

substitute the values

$sec(A)=\frac{4\sqrt{5}}{8}$

simplify

$sec(A)=\frac{\sqrt{5}}{2}$

3 0

4 years ago