Answers
Answer:
9.4 = x
Step-by-step explanation:
You are given the hypotenuse and the adjacent side, leading you to use cosine.
Set it up:
[tex]cos48 = \frac{x}{14}[/tex]
Multiply everything by 14, to remove it from the denominator:
[tex]14(cos48 = \frac{x}{14})[/tex]
[tex]14cos48=x[/tex]
Multiply accordingly:
9.36 = x
Round to nearest tenth:
9.4 = x
Related Questions
The one-to-one functions g and h are defined as follows.
=g, , −7 1, , −4− 8, , 6 7 , 7− 3
=hx−2x3
Find the following
Answers
Answer:
g^−1(7) = 6
h^−1(x) = x/2 + 3/2
(h^−1 ∘ h)(3) = 3
Step-by-step explanation:
If
g(6) = 7
Then
g^−1(7) = 6
h(x) = 2x - 3
Isolate x:
2x = h(x) + 3
x = h(x)/2 + 3/2
Replace x with h^−1(x) and h(x) with x:
h^−1(x) = x/2 + 3/2
We know that:
(h^−1 ∘ h)(x) = x
then:
(h^−1 ∘ h)(3) = 3
When you graduate from high school, you deposit all of your graduation cash into an account earning 5% interest. Ten years from now you will have
$5000 in that account. How much money did you deposit?
Answers
Sara solved the equation -6(x-2) + 3x = -3(x+3) + 21 What is the solution?
pls help :)
Answers
To solve you can use inverse operations.
Here are the steps to find the answer:
1. Write out the equation: -6(x-2)+3x= -3(x+3) +21
2. Distribute both sides: -6x+12+3x= -3x-9+21
3. Simplify both sides: -3x+12=-3x+12
4. This equation is true for all values, or infinity, because the equation is the same on both sides
Let me know if you need further explanation. I hope this helps.
please help me please please please please
Answers
Answer: [tex]2\frac{2}{3}[/tex]
Step-by-step explanation:
[tex]-2\frac{1}{3}-(-5)=[/tex]
Convert the mixed number to improper fraction. You can do this by multiplying the whole number times the denominator and adding the numerator; over the same denominator.
[tex]-\frac{2*3+1}{3} -(-5)=[/tex]
Solve;
[tex]-\frac{6+1}{3} -(-5)=[/tex]
[tex]-\frac{7}{3} -(-5)=[/tex]
Now, get rid of the two negatives by multiplying.
[tex]-\frac{7}{3} +5=[/tex]
Remember 5 has a 1 below; therefore, we can subtract these two fractions by getting both to a same denominator. Let's rewrite 5 as a fraction.
[tex]-\frac{7}{3}+\frac{5}{1} =[/tex]
To be able to convert 1 to 3, we have to multiply by 3. Remember that if you change the denominator, you have to change the numerator as well.
[tex]-\frac{7}{3}+\frac{5}{1} (\frac{3}{3} ) =[/tex]
Solve;
[tex]-\frac{7}{3}+\frac{15}{3} =[/tex]
Subtract numerators and keep the same denominator.
[tex]\frac{-7+15}{3}=\frac{8}{3}[/tex]
Convert to a mixed number. To do this, first, divide:
8/3=2
6
----
2
The 2 after the equal sign is the whole number, the two in the remainder is the numerator and the 3 is the denominator. Leaving our result as: [tex]2\frac{2}{3}[/tex]
Find the product of each sum and difference.
(21+9)(21-9)
Answers
30 12
Step-by-step explanation:
21 + 9 equals 30 21 - 9 equals 12
A cone and a cylinder have the same height and their bases are congruent circles
If the volume of the cylinder is 90 cm^3,
what is the volume of the cone?
Answers
Answer:
30 cm³
Step-by-step explanation:
Volume of cone is ⅓ of volume of cylinder , when they have same radius and height.
Volume of cone = ⅓ × 90 = 30 cm³
need help again lol plz
Answers
b) >
c) =
girl this is easy
help quick!!!!?????
Answers
Omg I’m so sorry to interrupt but I really need help on my homework :( it’s two questions for 20 points||| can someone please help
Answer:
none
Step-by-step explanation:
57+75+95= 227
24+70+75= 169
48+64+80= 192
19+27+80=73
A right triangle equals 180 degrees.
What is the equation of a line with a slope of -2 that passes through the point (6, 8)?
A. 2x + y = 20
B. y-2x = 4
C. y-2x = 20
D. 2x + y = 4
Answers
Answer:
2x+y = 20
Step-by-step explanation:
The equation for a line is y = mx+b where m is the lope and b is the y intercept
y = -2x+b
substitute the point into x and y
8 = -2(6) +b
8 = -12+b
Add 12 to each side
20 =b
y = -2x+20
Add 2x to each side
2x+y = 20
Answer: 2x+y = 20
Step-by-step explanation:
The equation for a line is y = mx+b where m is the lope and b is the y intercept
y = -2x+b
substitute the point into x and y
8 = -2(6) +b
8 = -12+b
Add 12 to each side
20 =b
y = -2x+20
Add 2x to each side
2x+y = 20
Use formulas to find the lateral area and surface area of the given prism. Round your answer to the nearest whole number.
11.21 m
34 m
5 m
6 m
Answers
Answer:
755 m²; 785 m²
Step-by-step explanation:
In the picture attached, the prism is shown.
Lateral area = perimeter of base * height
The base is a right triangles, then its perimeter is:
perimeter: 5 + 6 + 11.21 = 22.21 m
Lateral area = 22.21*34 = 755 m²
Surface area = lateral area + 2 (Area of base)
The base is a right triangles, then its area is:
area of base = (1/2)*5*6 = 15 m²
Surface area = 755 + 2*15 = 785 m²
What is the product of the binomials below?
(5x + 2)(4x +4)
Answers
You can use the FOIL method (First, Outer, Inner Last) as how most people prefer it.
5x*4x=20x^2
5x*4=20x
2*4x=8x
2*4=8
Combine them all together and you get 20x^2 + 28x +8
I hope this helps.
Answer:
20x^2 + 28x + 8
Step-by-step explanation:
you use the box method shown in the picture to multiply then combine like terms
How do you find the height of this trapezoid?
Answers
Answer:
Step-by-step explanation:
sin 60 = h/12
h = 12sin60
h = 12* √3/2 = 6√3 cm
Please HELP!!!!!!!!!
Answers
Answer:
The sides are 3 and 9
Step-by-step explanation:
Since this is a right triangle, we can use the pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
x^2 + (3x)^2 = (3 sqrt(10))^2
x^2 + 9x^2 = 9*10
10x^2 = 90
Divide each side by 10
x^2 = 90/10
x^2 =9
Take the square root of each side
x = sqrt(9)
x = 3
The sides are x=3 and 3x = 3(3) = 9
Answer: x=10
Step-by-step explanation:
Since the original statements were x, 3x, and 3[tex]\sqrt{x}[/tex], is already given as 10 in 3[tex]\sqrt{x}[/tex], therefore, 3x is 3*10 and x is 10
(x*y)*z=144
x = y*3
z = y*2
please help
Answers
Answer:
whats the question that u need help with
Ms. Wilmith bought 4 bags of candies. Each bag contained 8 candies. She put an
equal number of these cand es into each of 9 gift boxes
How many candies were left over?
3
4
0
5
Answers
Answer:
Number of candy left = 5
Step-by-step explanation:
Given:
Number of bags = 4
Number of candies in each bag = 8
Number of Gift boxes = 9
Find:
Number of candy left = ?
Computation:
Total number of candies = Number of bags × Number of candies in each bag
Total number of candies = 4 × 8
Total number of candies = 32
According to Euclid division lemma:
a = bq +r
32 = (3)(9) + Remainder
32 = 27 + Remainder
Remainder = 5
Number of candy left = 5
The point P(x,y) lies on the terminal side of an angle theata = -60 degrees in standard position. What are the signs of the values of x and y
Answers
Answer:
a
Step-by-step explanation:
a
What is the solution to the equation sqrt5X-7= sqrt3X+5?
x = 1
x = 6
x = 12
x = 24
Answers
Answer:
X=6
Steps are in the picture
. A kite is in the shape of a parallelogram
with a 4.5 cm base and a height of
7.9 cm. What is the area of the kite?
Answers
Answer:
I believe the answer is 35.55 cm
Step-by-step explanation:
Answer:
35.55 cm
Step-by-step explanation:
To find the answer of this question is to use the method bxh.
4.5 cm
x 7.9 cm
----------------
35.55 cm
TeeVee Electronics, Inc., makes console and wide-
screen televisions. The equipment in the factory allows +
for making at most 450 console televisions and 200
wide-screen televisions in one month. It costs $600 per
unit to make a console television and $900 per unit to
make a wide screen television. The profit on each
console television is $125 per unit, while the profit for
each wide screen television is $200 per unit. During the -
month of November, the company can spend $360,000 to make these televisions. To
maximize profits, how many of each type should they make?
LET
Answers
Answer:
First we need to put all the given information in a table, that way we'll express it better into inequalities.
Cost Production Max.
Console screen (x) $600 450
Wide-screen (y) $900 200
$360,000
We have:
[tex]600x+900y \leq 360,000[/tex]
Because they can't spend more than $360,000 in production.
[tex]x\leq 450\\y\leq 200[/tex]
Because the number of television is restricted.
The profit function is
[tex]P(x,y)=125x+200y[/tex] (this is the function we need to maximize).
First, we need to draw each inequality. The image attached shows the region of solution, which has vertices (0,200), (300,200), (450, 100) and (450,0).
Now, we test each point in the profit function to see which one gives the highest profit.
For (300,200):
[tex]P(300,200)=125(300)+200(200)=37,500+40,000=77,500[/tex]
300 console screen and 200 wide screen give a profit of $77,500.
For (450,100):
[tex]P(450,100)=125(450)+200(100)=56,250+20,000=76,250[/tex]
450 console screen and 100 wide screen give a profit of $76,250.
Therefore, to reach the maximum profits, TeeVee Electronic, Inc., must produce 300 console screen televisions and 200 wide-screen televisions to profit $77,500,05.01 MC)
Determine the slope of the line 5x − 3y − 12 = 0. (5 points)
Question 1 options:
1)
negative five thirds
2)
negative three fifths
3)
three fifths
4)
five thirds
Answers
Answer:
slope = [tex]\frac{5}{3}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
5x - 3y - 12 = 0 ( subtract 5x - 12 from both sides )
- 3y = - 5x + 12 ( divide all terms by - 3 )
y = [tex]\frac{5}{3}[/tex] x - 4 ← in slope- intercept form
with slope m = [tex]\frac{5}{3}[/tex]
Please answer #5 A-C!
Answers
Answer:a
Step-by-step explanation:I know
Jael and Kelsey work at a bakery. Jael makes 8 cupcakes for every 5 cupcakes that Kelsey
makes. If Kelsey makes 175 cupcakes in one day, what is the total combined number of cupcakes that Kelsey and Jael make in one day?
Answers
Answer:
35
Step-by-step explanation:
175/5
Answer:
455 cupcakes
Step-by-step explanation:
If Jeal makes 8 cupcakes for every 5 cupcakes that Kelsey makes and Kelsey made 175 cupcakes then you divide 175 by 5 and you get 35. Then mulitply 35 by 8 and you will get 280. Lastly you add 175 and 280 and you will get 455.find the missing letter N if the width is 2ft and the area equal 28 sq ft
Answers
Answer:
Step-by-step explanation:
Area = 28 Sq.ft
length * width = 28
2 * n = 28
Divide both sides by 2
2n/2 = 28/2
n = 14 ft
I need help to get to 8.9 I need help to figure out the numbers for the empty boxes.
Answers
Answer:
Bottom row from left to right we have 0.4 0.3 0.3 0.1 0.5 0.5 Second row from right to left 0.7 0.6 0.4 0.6 1 On the Third row from right to left 1.3 1 1 1.6 On the Fourth row 2.3 2 2.6 On the Fith row 4.3 and 4.6 The last Row also the highest 8.9
Step-by-step explanation:
you take two numbers right and left add them and put the answer in the box above and in between
Need help with this
Answers
Answer:
5 to the power of -2
Step by Step explanation:
Because you are diving, you need to subtract the powers.
For example, you subtract 10 from 12 to get -2
The 5 remains the same so the answer should be 5 to the power of -2
Hope this helps
Evaluate the expression below for x = 2, y = –3, and z = –1.
A.
–23
B.
–5
C.
13
D.
27
Answers
Correct question:
Evaluate the expression below for x = 2, y = –3, and z = –1.
Given: [tex] x^2 z^2 -y^2(x+z) [/tex]
Options:
A.–23
B.–5
C.13
D.27
Answer:
B. -5
Step-by-step explanation:
In this question we are given the following values:
x = 2
y = -3
z = -1
Given the expression:
[tex] x^2 z^2 -y^2(x+z) [/tex]
To evaluate, let's substitute for 2, -3 & - 1 for x, y & z respectively
Therefore,
[tex] x^2 z^2 -y^2(x+z) [/tex]
Substituting values, we have:
[tex] (2^2) (-1^2) - (-3^2)(2+(-1)) [/tex]
Simplifying, we have:
[tex] [(2^2) (-1^2)] - [(-3^2)(2-1)] [/tex]
[tex]= [(4) (1)] - [(9)(1)] [/tex]
[tex]= 4 - 9[/tex]
= -5
The correct answer is option B
Identify the equation or inequality of the graph
A)2x-3y=6
B)3x+2y=-6
C)2x-3y=-6
D)3x-2y=6
Answers
Answer:b
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
What is the value of x when 1/3x=9 1/3?
Helppp nowww
Answers
Answer:
x=28
Step-by-step explanation:
[tex]\frac{1}{3} x=9\frac{1}{3} \\\frac{1}{3} x=\frac{28}{3} \\x=28[/tex]
The value of x is 28.
What is mixed fraction?
A mixed fraction represented with its quotient and remainder is a mixed fraction.
How to convert a mixed fraction fraction into an improper fraction?To convert a mixed fraction into improper fraction first we multiply the denominator of the proper fraction to the whole number attach with it then we add the numerator.
According to the question:
we have
[tex]\frac{1}{3}x =9\frac{1}{3}[/tex]
for finding the value of x
[tex]\frac{1}{3}x =9\frac{1}{3}[/tex]
⇒[tex]\frac{1}{3}x=\frac{28}{3}[/tex]
⇒[tex]\frac{3}{3} x= 3[/tex]×[tex]\frac{28}{3}[/tex] (multiply both the sides by 3)
⇒ [tex]x= 28[/tex]
The value of x is 28.
Learn more about for finding the value of x here:https://brainly.in/question/11504807
#SPJ2
19. Alyse is writing down some notes to argue her case as to how the
body functions when riding a bike. Select the correct phrases below to
help finish these notes.
Answers
Answer: Bro write the question better
Step-by-step explanation:
Write the number in standard form. 6.45×10^−4
Answers
Answer:
.000645
Step-by-step explanation:
.0006.45
move the decimal place 4 places to the Left because it is a negative.
