Right triangle ABC is shown.
a to c is 3m
c to b is a
b to a is c and ab is 50 degrees
Which equation can be used to solve for c?
sin(50o) =
sin(50o) =
cos(50o) =
cos(50o) =
Answer:
The required equation which can be used to solve for the value of c is given by :
[tex]\bf\sin 50=\frac{3}{c}[/tex]
Step-by-step explanation:
For better understanding of the solution, see the attached figure :
AC = 3 meter
CB = a meter
BA = c meter
m∠ABC = 50°
Now, to find the value of c.
In right angle triangle right angled at C, we need to find the length of hypotenuse, so using the sine rule in the ΔABC
[tex]\implies \sin\theta=\frac{Perpendicular}{Hypotenuse}\\\\\implies \sin 50=\frac{3}{c}[/tex]
Hence, the required equation which can be used to solve for the value of c is given by :
[tex]\bf\sin 50=\frac{3}{c}[/tex]
Renee is a sales associate at a store . She earns 80$ a week plus 15% commission on her sales. Last week she sold 200$ worth of items . What is the total amount she earned for the week? How much did she earn from commission
Forty-eight pounds of sand are used to fill 12 bags. Miranda uses the five-step problem-solving plan. After completing the Solve step, how many pounds of sand should she find each bag will hold?
According to the Five-pan strategy ,
Step 1 . Read given problemStep 2. Construct a plan to solve it.Step 3. Perform it.Step 4. Check answer.Step 5. Write final answer with statement.For given problem :
Step 1. 48 pounds of sand are used to fill 12 bags.
To find : how many pounds of sand should she find each bag will hold?
Step 2. We need to divide the total amount of sand require to fill 12 bags by 12.
Step 3. Amount of sand require to fill one bag = (amount of sand require to fill 12 bags) ÷ 12
= (48) ÷ 12
= 4 pounds
Step 4. Checking our answer as
Amount of sand require to fill 12 bags = 12 x (Amount of sand require to fill one bag)
= 12 x 4 = 48 pounds which is given, thus our answer is correct.
Step 5. She should fill 4 pounds of sand in each bag.
how do you do this system using the equal values method?
Question 2
Find the next term in this arithmetic sequence: 2/3, 2, 3 1/3, ____
4 2/3
3 2/3
4
4 1/3
Find two consecutive integers whose product is 5 less than the square of the smaller number
To find two consecutive integers whose product is 5 less than the square of the smaller number, let the smaller number be x and use algebraic equations to solve for x.
Explanation:To find two consecutive integers whose product is 5 less than the square of the smaller number, we can let the smaller number be x. The larger number would then be x + 1. The product of the two consecutive integers is x(x + 1) and the square of the smaller number is x^2. According to the problem, x(x + 1) = x^2 - 5. We can solve this equation to find the values of x and x + 1.
Expanding x(x + 1) gives us x^2 + x. So, the equation becomes x^2 + x = x^2 - 5. We can simplify this equation by canceling out x^2 on both sides, which leaves us with x = -5.
So the consecutive integers are -5 and -4.
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The product of 3 and a number subtracted from 16 is 7. Find the number.
A color printer prints 9 pages in 3 minutes. how many minutes does it take per page
Final answer:
To calculate time per page, divide the total printing time by the number of pages. A printer that prints 9 pages in 3 minutes takes approximately 0.333 minutes (or 20 seconds) to print one page.
Explanation:
The question is asking us to calculate the time it takes for a color printer to print one single page. To find this, we need to divide the total time taken to print multiple pages by the number of pages printed. So, if a printer prints 9 pages in 3 minutes, we can calculate the time per page as follows:
First, identify the total time taken for printing multiple pages, which is 3 minutes for 9 pages.
Divide the total minutes by the number of pages to get the time per page. In this instance, it would be 3 minutes ÷ 9 pages.
Perform the division to find the time it takes to print one page. 3 minutes ÷ 9 pages = 0.333... minutes per page.
Therefore, it takes approximately 0.333 minutes (or 20 seconds) for the color printer to print one page.
z varies directly with x^2 and inversely with y. When x = 2 and y = 4, z = 3. What is the value of z when x = 4 and y = 9?
frank averages one strike for every 4 frames that he bowls. if he bowled 48 strikes in one season how many frames did frank bowl
Consider the function y = x^2 − 18x. Enter the values for the variables to complete the inverse
Given the equation:
y = x^2 – 18x
Rewrite in vertex form:
y = x^2 – 18x + (18/2)^2 – (18/2)^2
y = (x – 9)^2 – 81
Swap x and y:
x = (y – 9)^2 – 81
Solve for y:
x + 81 = (y – 9)^2
y – 9 = sqrt (x + 81)
y = sqrt (x + 81) + 9
or
y = (x + 81)^(1/2) + 9
Help please I don't get it...........
What is the inverse of the following statement? If at first you don’t succeed, try, try again. Select the best answer from the choices provided. If you try, try again, then you did not succeed at first. If at first you succeed, then do not try, try again. If you don’t try, try again, then you succeeded at first. Try, try again if at first you don’t succeed. NextReset
Answer:
Try, Try again if at first you dont
exceed
Step-by-step explanation:
Which estimate best describes the area under the curve in square units?
10 units²
15 units²
25 units²
30 units²
If m∠TRK equal 32.5°, what is m∠TSK?
The measure of angle TSK is 130°, because it is an inscribed angle that intercepts the same arc as angle TRK, and angle TRK is half the measure of the central angle that intercepts the same arc.
The correct answer is option C.
The center of the circle is S, and the measure of angle TRK is 32.5°. We want to find the measure of angle TSK.
We can use the following theorem to solve this problem:
Inscribed Angle Theorem: An inscribed angle is half the measure of the central angle that intercepts the same arc.
In other words, if an angle is inscribed in a circle and intercepts a certain arc, then the measure of that angle is half the measure of the central angle that intercepts the same arc.
In this problem, angle TRK is an inscribed angle that intercepts arc KT. Therefore, the measure of angle TRK is half the measure of the central angle that intercepts arc KT.
Let's call the central angle that intercepts arc KT θ. Since angle TRK measures 32.5°, we know that θ measures 32.5° * 2 = 65°.
Now, we can use the Inscribed Angle Theorem again to find the measure of angle TSK.
Angle TSK is an inscribed angle that intercepts arc KT, and the measure of the central angle that intercepts arc KT is 65°. Therefore, the measure of angle TSK is half the measure of the central angle that intercepts the same arc, which is 65° * 2 = 130°.
The measure of angle TSK is 130° making option C the correct option.
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The question probable may be:
The center of the circle is S. Note: Figure not drawn to scale. If mangle TRK equal 32.5 ° , what is mangle TSK ? A. 32.5 ° B. 65 ° C. 130 ° D. 16.25 °
Summarize the steps to orderly problem solving when dealing with a mathematical chemistry problem
You and a friend are looking for an apartment. There are two final choices. Apartment A has a $1000 security deposit and costs $1200 each month. Apartment B has a $1500 and costs $1175 each month. How many months, m, will it take for the costs to be the same?
The required months are x = 0.60 months where at the cost become same.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
Let the total cost be y and the month be x
Apartment A has a $1000 security deposit and costs $1200 each month.
y = 1200x +1000 - - - - - (1)
Apartment B has $1500 and costs $1175 each month.
y = 1175x + 1500
From equation 1
1200x + 1000 = 1175x + 1500
1200x - 1175x = 500
825x = 500
x = 500 / 825
x = 0.60 months,
y = 1200*0.60 + 1000
y = 1,720
Thus, the required months are x = 0.60 months where the cost becomes the same.
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Susie's sushi place two orders with its fish supplier one order was for 15 lb of salmon and 8 lb of tuna the order total $228 the other order was for 12 lb of salmon and 6 lb of tuna this ordered total for 180 what is the cost for 1 lb of salmon in 1 lb of tuna
What is the perimeter of the figure?
A. 88 in.
B. 88 11/24 in.
C. 88 7/8 in.
D. 89 7/8 in.
Find the new amount given the original amount and the percent of change. $5; 10% increase
The formula for finding the length of an arc on a circle is L=2πr(x360) , where r is the radius of the circle and x is the measure of the central angle of the arc. Solve for x.
To solve for the measure of the central angle (x) in the arc length formula, rearrange the formula such that [tex]x = (L/2\pi r) * 360.[/tex] This method allows you to determine the degree measure of the arc once you know the arc length (L) and the radius (r) of the circle.
Explanation:Given that the formula for finding the length of an arc in a circle is [tex]L=2\pi r(x/360)[/tex], you can solve for x if L and r are known. In this formula, r stands for the radius of the circle and x represents the measure of the central angle of the arc in degrees. So, to isolate x, you would need to rearrange the formula, giving us: [tex]x = (L/2\pi r) * 360.[/tex]
This effectively means that the degree measure of the arc (x) is equivalent to the ratio of the arc length to the circumference (which is 2πr) times 360 degrees.
For instance, let's consider a circle where r=5 and the arc length L has a value of 10 units. We would substitute these values into our newly rearranged formula thus: [tex]x = (10/2\pi *5) * 360 = 36[/tex] degrees. This tells us that the central angle for this particular arc on a circle with a radius of 5 units is 36 degrees.
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In the game Kazoo, teams lose one point each time they skip a turn. They earn one point each time their team guesses correctly. Maria's team skipped 888 turns. They guessed correctly 666 times.
He sells packets of sweet-pepper seeds for $2.48 each and packets of hot-pepper seeds for $4.56 each. he also offers a 16-packet mixed pepper assortment combining packets of both types of seeds at $3.65 per paket. how many packets of each type of seed are in the assortment
Evi what to make to pottery she needs 3/5 pounds of clay for one piece and 7/10 Pound of clay for the other piece she has three bags of clay that wiegh 4/5 pound each.how many bags of clay will Eva need to make both pieces of pottery?How many pounds of clay will she have left over ?
4a-3b=21 true or false
A pilot flies 640 miles with a tail wind of 35 miles per hour. Against the wind, he flies only 455 miles in the same amount of time. Find the rate of the plain in still air
Which values of x will make the absolute value equation true?
|x – 4| = 7
A.
{–3, 3}
B.
{–3, 11}
C.
{–11, 11}
D.
no solution
Determine whether the coordinate plane shows a reflection in the x-axis, y-axis, or neither.
From the graph, it is obtained that there is a reflection on the x-axis.
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
It is obtained that, the x-coordinate of a point that is reflected across the x-axis stays constant, but the y-coordinate is assumed to be the additive inverse. The x-axis' reflection of point (x, y) is (x, -y).
The new reflected graph's reflection equation will be y=f(x) y = f (x) given an equation of the form y=−f(x) y = − f ( x ). To put it another way, the function may be simply multiplied by 1, which results in a curve that is mirrored across the x-axis.
Thus, from the graph, it is obtained that there is a reflection on the x-axis.
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What is the solution set for the open sentence with the given replacement set?
2t-t=0,{1,2,3,4}
A. Null set
B. 2
C. 3
D. 4
An open sentence is a mathematical sentence that has an unknown.
The solution set for t is (a) Null set
The equation is given as:
[tex]\mathbf{2t - t = 0}[/tex]
The set is given as:
[tex]\mathbf{\{1,2,3,4\}}[/tex]
First, we solve for t in: [tex]\mathbf{2t - t = 0}[/tex]
[tex]\mathbf{t = 0}[/tex]
The above equation implies that, the value of t is 0
0 is not represented in the given set, [tex]\mathbf{\{1,2,3,4\}}[/tex]
Hence, the solution set for t is (a) Null set
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How can you use doubles when multiplying with 4 to find 4x8