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2 years ago

10 D 6 F What is the cosine ratio for ZF ? chi O 4

Mathematics

1 answer:

tatuchka [14]2 years ago

5 0

Answer is 3/5

The equation for finding the angle in a right-angled triangle using cos is:

cos^1(adjacent/hypotenuse) = cos angle

On the triangle:

Adjacent side: 6

Hypotenuse: 10

Using the equation to find cos:

6/10 would simplify to 3/5, so 3/5 is the answer.

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On the first day of sales the school sold 3 senior citizen tickets and 9 child tickets for a total of $75. The school took in $6

denis-greek [22]

ANSWER:

The price of senior citizen ticket is $4 and price of child ticket is $7.

SOLUTION:

Given, first day of sales the school sold 3 senior citizen tickets and 9 child tickets for a total of $75.

The school took in $67 on the second day by selling 8 senior citizen tickets and 5 child tickets.

We need to find what is the price each of one senior citizen tickets and one child tickets.

Let, the price of senior citizen ticket be "x" and price of child ticket be "y"

Then according to the given information,

3x + 9y = 75

x + 3y = 25 [by cancelling the common term 3.

x = 25 – 3y ---- (1)

And, 8x + 5y = 67 ---- (2)

Substitute (1) in (2)

8(25 – 3y) + 5y = 67

200 – 24y + 5y = 67

5y – 24y = 67 – 200

-19y = -133

y = $\frac{133}{19}$

y = 7

Now substitute y value in (1)

x = 25 – 3(7)

x = 25 – 21 = 4

Hence, the price of senior citizen ticket is $4 and price of child ticket is $7.

4 0

3 years ago

What is the tru solution to the logarithmic equation below? Log4[log4(2x)]=1

zaharov [31]

$\log_4(\log_42x)=1$

Take both sides as powers of 4:

$4^{\log_4(\log_42x)}=4^1\implies\log_42x=4$

Do it again:

$4^{\log_42x}=4^4\implies2x=(2^2)^4=2^8\implies x=2^7=128$

3 0

3 years ago

Stacy is saving $5 each week to buy a new bike. She already has 15 dollars saved in her bank account. SHe needs to save at least

kotykmax [81]

She nee to save $60 more so she can buy a new bike

3 0

3 years ago

En un triangulo ABC, el angulo B mide 64° y el angulo C mide 72°. La bisectriz interior CD corta a la altura BH y a la bisectriz

nadezda [96]

Answer:

The difference between the greatest and the smallest angle of the triangle PBQ is 98°.

Step-by-step explanation:

The question is:

In a triangle ABC, angle B measures 64 ° and angle C measures 72°. The inner bisector CD intersects the height BH and the bisector BM at P and Q respectively. Find the difference between the greatest and the smallest angle of the triangle PBQ.

Solution:

Consider the triangle ABC.

The measure of angle A is:

angle A + angle B + angle C = 180°

angle A = 180° - angle B - angle C

= 180° - 72° - 64°

= 44°

It is provided that CD and BM are bisectors.

That:

angle BCP = angle PCH = 36°

angle CBQ = angle QBD = 32°

angle BHC = 90°

Compute the measure of angle HBC as follows:

angle HBC = 180° - angle BHC + angle BCH

= 180° - 90° - 72°

= 18°

Compute the measure of angle BPC as follows:

angle BPC = 180° - angle PCB + angle CBP

= 180° - 18° - 36°

= 126°

Then the measure of angle BPQ will be:

angle BPQ = 180° - angle BPC

= 180° - 126°

angle BPQ = 54°

Compute the measure of angle PBQ as follows:

angle PBQ = angle B - angle QBD - angle HBC

= 64° - 32° - 18°

angle PBQ = 14°

Compute the measure of angle BQP as follows:

angle BQP = 180° - angle PBQ - angle BPQ

= 180° - 14° - 54°

angle BQP = 112°

So, the greatest and the smallest angle of the triangle PBQ are:

angle BQP = 112°

angle PBQ = 14°

Compute the difference:

d = angle BQP - angle PBQ

= 112° - 14°

= 98°

Thus, the difference between the greatest and the smallest angle of the triangle PBQ is 98°.

4 0

3 years ago

Andy wants to buy a refrigerator for $769, a stove for $359, and a dishwasher for $309. round each cost to the nearest hundred t

Fiesta28 [93]

769 rounded to nearest 100 = 800

359 rounded to nearest 100 = 400

309 rounded to nearest 100 = 300

800 + 400 + 300 = $1,500 estimated total cost

Please mark brainliest

3 0

3 years ago