Given x is an acute angle with sin(x)=1/3, find the value of cos (4x) .

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

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Manny's cleaning supply store receives a mixture of 80% detergent and 20% water in 15-gallon buckets. Manny would like a mixture of 60 detergent and 40% water in a 5 gallon buckets. To make this he combined some 80/20 mixture with some pure water in each 5 gallon bucket. How much gallons of pure water does Manny add to each 5 gallon bucket.

The coordinates of the vertices of ANGLE PQR are P(-3,3), Q(2,3), and R(-3,-4). Find the side lengths to the nearest hundredth and the angle measures to the nearest degree.

Answers

Answer: PQ=5, QR=radical 61= 7.81, angle: 50degrees,Why:PQ=|-3|+2=5PR=6angle Alfa, so there is right angle triangle PQR so I can use following formula:PQ^2 + RP^2=QR^2;25 + 36=QR^2;QR=radical 61also I can use: sinus (angle)=PR/QR;sin(angle)=6/radical61=0.76822 which gives angle to be little bit more than 50 degrees{sinus 50 degrees=0,7660}.

PLEASE HELP ONLY GOT 2 MINUTES LEFT !!!John has a goal to ride his bike 100 miles this summer. John has ridden 12 miles thus far. There are only 40 days left in summer. Write a inequality to represent the average distance, d, in miles, John must ride each day for the rest of summer

Answers

Answer:

y $\geq 2.2$

Step-by-step explanation:

John wants to complete at least 100 miles. he has completed 12 which means he only has 88 left. If you divide 88(miles left) by 40(time left) you get 2.2 miles. so he would need a minimum of 2.2 miles a day to bike 100 miles.

Answer:

12 + 40d ≥ 100

Two numbers have a product of 48 and a sum of 19 what are the numbers and how do you know

Answers

The numbers are 3 and 16. If you multiply these two numbers you get 48 and if you add them you will get 19.

Answer:

Write in Standard Form

Solve the Function Operation

Simplify

Write in y=mx+b Form

Evaluate the Function

Factor

Graph

Find the Equation with Real Coefficients

Add

Find the Exact Value

Find the Value of the Constant

Find the GCF

Step-by-step explanation:

Make a formula to find the of the diameter 'a' if the area is 'A'.

Answers

Answer:

$2\sqrt{(A)/(\pi)} = a$

Step-by-step explanation:

I am assuming that you are referring to the diameter and area of a circle. If this is false, then please note that my answer is wrong.

Ok, we know that the area formula for a circle is A = $\pi r^(2)$ , where r is the radius.

We also know that the diameter, a, is two times the radius. Thus, $a = 2r$ , which also means that $(1)/(2) a = r$ . This means that we can substitute the radius (r) with half the diameter ( $(1)/(2)a$ ) in the area formula equation:

$A = \pi *((1)/(2) a)^(2)$

Your question asks us to find the diameter, which means we must solve for, or isolate, the diameter (a):

$A = \pi *((1)/(2) a)^(2)\n(A)/(\pi) =((1)/(2) a)^(2)\n(A)/(\pi) =(1)/(4) a^(2)\n(4A)/(\pi) = a^(2)\n\sqrt{(4A)/(\pi)} = a\n2\sqrt{(A)/(\pi)} = a$

What is the frequency for the scores in the interval 81-100?

Answers

I think it should be -19

You had 23 dollars to spend on 4 avocados. They were very green. After buying them you had 11 dollars. How much did each avocado cost?

Answers

Answer:

Step-by-step explanation:

Because you subtract $23-$11 to get the total you spent on avocados then you divide 12/4 because you bought 4 avocados

Answer:

3 dollars for each avocado.

Step-by-step explanation:

Since you had 23 dollars in the beginning and 11 dollars in the end, subtract to find out how much was used for the avacados.

23-11=12

Next, since you bought 4 avocados, you divide 12 by 4 to find out how much each cost.

12/4=3

Each avocado cost 3 dollars.

You can check by multiplying 3 by 4.

3x4=12

Then, add the 12 dollars spent to the 11 dollars left.

12+11=23 dollars

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