Answer:
92.6
Step-by-step explanation:\text{SOH-CAH-TOA}
SOH-CAH-TOA
\sin Q = \frac{\text{opposite}}{\text{hypotenuse}}=\frac{x}{95}
sinQ=
hypotenuse
opposite
=
95
x
\sin 77=\frac{x}{95}
sin77=
95
x
95\sin 77=x
95sin77=x
Cross multiply.
x=92.5652\approx \mathbf{92.6}\text{ feet}
x=92.5652≈92.6 feet
Type into calculator and roundto the nearest tenth of a foot.
Q
R
S
92.6
95
(adjacent to ∠Q)
(opp. of ∠Q)
(hypotenuse)
77°
Nora inherited a savings account that was started by her grandmother 25 years ago. Her grandmother
deposited $500. The bank pays 5% interest per annum. Interest is paid every 3 months. Write an
equation that can be used to find the amount of money she has after 25 years
Answer: [tex]A = 500(1.0125)^{100}[/tex]
Step-by-step explanation:
Compound interest
A = P(1 + r/n)^nt
A is the final amount (what we are solving for)
P is the initial principal balance (P=500)
r is the interest rate as a decimal (r=0.05)
t is the time (25 years)
n is the number of times it is compounded yearly (every three months so n=4)
A = 500(1 + 0.05/4)^4(25)
A = 500(1 + 0.0125)^4(25)
A = 500(1.0125)^4(25)
A = 500(1.0125)^100
solve the x. 4x+9=2x-1
Answer:
The answer is x = -5.
Step-by-step explanation:
1) Subtract 2x from both sides.
[tex]4x + 9 - 2x = - 1[/tex]
2) Simplify 4x + 9 - 2x to 2x + 9.
[tex]2x + 9 = - 1[/tex]
3) Subtract 9 from both sides.
[tex]2x = - 1 - 9[/tex]
4) Simplify - 1 - 9 to -10.
[tex]2x = - 10[/tex]
5) Divide both sides by 2.
[tex]x = - \frac{10}{2} [/tex]
6) Simplify 10/2 to 5.
[tex]x = - 5[/tex]
Therefor, the answer is x = -5.
Ratio and simplify the ratio helpp
What is the area of the figure?
Answer:
The shape has a total area of 14.96cm²
Step-by-step explanation:
To solve this all you need to do is take the area of the outer rectangle, and subtract the area of the inner rectangle.
The outer rectangle is 5.6 by 6.4 cm. To get its area, just multiply those dimensions. When you do so you get the area 35.84cm².
Next the inner rectangle needs to be subtracted. First though, we need its width, which we're not directly given.
We do however know the width of the entire shape, and the width of segments left after cutting out the inner rectangle. All we need to do then is subtract the later from the former to the the inner rectangle's width:
5.6cm - 1.2cm - 0.8cm = 3.6cm
Great! The inner rectangle has an area of 3.6cm × 5.8cm. That gives us 20.88cm².
The final step is to subtract that 20.88 square cm from the 35.84 that we already have. Doing so gives us a result of 14.96cm², and that is the final answer.
Jason can travel 24 3/4 miles in 1/2 hour. What is his average speed in miles per hour?
Answer:
24 3/4 miles is the distance
1/2 hour - is time
V=S/t
24\frac{3}{4}
4
3
/ 0.5 = \frac{(24*4+3)2}{4}
4
(24∗4+3)2
=49.5 miles per hour
omg! please help! it’s due in 4 hours and i don’t know the answers to it
what is the slope of the line if the equation is 5x-3y=9
Answer:
Slope = 5/3
Step-by-step explanation:
5x - 3y = 9
Write in slope y-intercept form: y = mx +b
-3y = -5x + 9
Divide the whole equation by (-3)
[tex]\frac{-3y}{-3}=\frac{-5x}{-3}+\frac{9}{-3}\\\\y =\frac{5}{3}x- 3[/tex]
Slope =5/3
Tomaz realized that the tip of a second hand on a clock rotates about the center of the clock. He watched the second hand rotate around the center of the clock for 15 seconds. Which describes the rotation he observed?
Answer: b
Step-by-step explanation: hope this helps
plz help me with this question
GIVING BRAINIEST
The order in which you add or multiply two values doesn't affect the outcome is what property?
A. Additive Inverse
B. Associative Property
C. Commutative Property
Answer:
C. Commutative Property
Step-by-step explanation:
The commutative property of multiplication states that when two numbers are being multiplied, their order can be changed without affecting the product.
:)
Which expression is equivalent to the one below?
14(2x + 4)
Answer:
Step-by-step explanation:
14(2x+4)
14(2(x+2))
28(x+2) or
28x+56
Answer: 28x + 56 or 14(2x) + 14(4). (They are equivalent)
Step-by-step explanation:
Distribute 14 to both 2x and 4.
14(2x+4) = 14(2x) + 14(4)
=28x + 56
Solve the equation. 1/3a = -5
Answer:
The answer is a = -15
Step-by-step explanation:
1/3a = -5
3 × 1/3a = 3 × (-5)
a = 3 × (-5)
a = -3 × 5
Answer is a = -15
Answer:
a = 15
Step-by-step explanation:
Just answer
Find g−1(x) when g(x)=3/5x−9.
A) 5/3x+1/5
B)5/3x−1/9
C)5/3x+9
D)−3/5x+9
Nicole has 18 nickels n and dimes d. If the value of her coins is $1.45, how many of each coin does she
have?
Answer:
19 nickel = .95
5 dimes = .50
Step-by-step explanation:
.95 + .50 = 1.45
The manager of a store increases the price of a popular product by 7%. Let t be the original price of the product. The new price is t + 0.07t. Find an expression equivalent to the new price. I NEED HELP ASAP PLEASEEEEEEEEEEE!!!!
Answer:
0.07t+t
Step-by-step explanation:
The required new expression after increasing the price by 7% is 1.07t, where t is the original price.
The manager of a store increases the price of a popular product by 7%. let t be the original price of the product. The new price is t + 0.07t.
to find an expression equivalent to the new price.
Cost price is the price for the buyer pays to the seller for an object or product.
Here, let the whole proportion of the price of the product is t.
now price increased by 7% so 7/100*t = 0.07*t
The total increase in price = t + 0.07t
= 1.07 * t
So the new expression for the product after a 7% hike in price, 1.07t
Thus, the required new expression after increasing the price by 7% is 1.07t, where t is the original price.
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Area of Shape please !!!
Answer:
135 cm squared
Step-by-step explanation:
9x20 (for the big bottom rectangle) plus (14-9)x11 because you already found the area of the big rectangle.
Samuel goes to a restaurant and the subtotal on the bill was xx dollars. A tax of 8% is applied to the bill. Samuel decides to leave a tip of 18% on the entire bill (including the tax). Write an expression in terms of xx that represents the total amount that Samuel paid.
Answer: 1.274 xx
Step-by-step explanation:
Given
The price of the bill is xx $
Tax is 8%
The tip is 18% of the total bill
Amount paid after tax is
[tex]\Rightarrow xx(1+8\%)=1.08xx\ \$[/tex]
Amount paid after leaving tip is
[tex]\Rightarrow 1.08xx(1+18\%)=1.08xx\times 1.18\\\Rightarrow 1.274xx\ \$[/tex]
What is the answer of this equation?
100 = r + 10
Answer:
90 + 10 = 100 ;-;
Step-by-step explanation:
2a.
Solve the quadratic equation with completing the square method 5x2 - 4x + 125 = 0
Answer:
There is No real solutions.
Step-by-step explanation:
PLS ANSWER ASAP WILL MARK BRAINLIEST!!
Select all that apply.
A direct variation equation is graphed. The point (6,4) is on the graph. Which of the following points are also on the
graph of the equation?
•(-6, -3)
•(-9, -6)
•(3, 2)
•(-12, 8)
Answer:
Below in bold.
Step-by-step explanation:
As its direct variation the graph is a straight line and passes through the origin (0,0) and the slope (y/x) is a constant.
The fraction (y/x) for any point will be a constant.
The fraction for (6, 4) is 4/6 = 2/3.
So also on the line we have:
(-9, -6) (because -6/-9 = 2/3).
and (3, 2).
Rewrite 1/20 and 2/25 to get a common denominator
3. Malala bought a 5-pound bag of dog food. She feeds her dog 1/3 pound of dog food every day. How many days will the bag of food last
it will last for five days
Similarity in right triangles. Find the value of X. 
Answer:
70
Step-by-step explanation:
Using the similarity theorem;
AB/BC = AD/AB
x/7+3 = 7/x
x/10 = 7/x
x^2 = 70
x = √70
Hence the required value inside square root is 70
Use the Pythagorean Theorem to find the distance between points F and C.
What is the distance between (-4,-1) and ( -2,-2)
Answer:
-2, -1
Step-by-step explanation:
Explain how you know that 88 is a solution to the equation 18x=11 by completing the sentences: The word "solution" means . . . 88 is a solution to 18x=11 because . . .
Correct Question:
Explain how you know that 88 is a solution to the equation 1/8x =11 by completing the sentences:
The word "solution" means . . .
88 is a solution to 1/8x=11 because . . .
Answer/Step-by-step explanation:
✔️The word solution means the value of the unknown variable, x. This means, when the value of x is substituted into the equation, the equation becomes balance as the value on the left equals the value on the right.
✔️88 is a solution to ⅛x = 11 because:
if we substitute x for 88 into the equation, both sides would be equal.
Thus:
⅛×88 = 11
11 = 11
helllllllllllllllllllllllllllllp
Answer:
36,579.5180
Step-by-step explanationan:
Find the answer:
f(k-8) = 1/2(k-8)-4
Answer:
f = (k - 16) / (2k - 16)
k = (16f - 16) / (2f - 1)
Step-by-step explanation:
f(k-8) = 1/2(k-8)-4
Solve for f:
Divide both sides by (k-8)
f = (k - 16) / (2k - 16)
Solve for k:
Subtract 1/2 * k from both sides.
fk - 8f - (1/2)k = -8
Add 8f to both sides.
fk - 1/2*k = k * (2f - 1)/2 = 8f -8
Divide both sides by (2f - 1)/2
k = (16f - 16) / (2f - 1)
PLEASE HELP I BEG YOU!!!
What is the longest line in a cube that has a side length of 7 cm?
Answer:
14cm
Step-by-step explanation:
All side lengths in a cube will be 7 as the properties of a cube are such that all the side lengths are the same.
Think of the longest line in a cube as a hypotenuse on a triangle.
[tex]7^{2} + 7^{2} = c^{2}[/tex]
49 + 49 = [tex]c^{2}[/tex]
[tex]c^{2}[/tex] = 98
c = [tex]\sqrt{98}[/tex]
[tex](\sqrt{98})^{2} + (\sqrt{98} )^{2}[/tex] = [tex]c^{2}[/tex]
[tex]c^{2}[/tex] = 98 + 98
[tex]c^{2}[/tex] = 196
c = [tex]\sqrt{196}[/tex]
c = 14
The longest line in a cube that has a side length of 7cm is 14cm.
Which quadrilaterals are considered parallelogram
all of them are the correct answer
The hanger image below represents a balanced equation.
Write an equation to represent the image.
Answer:
The equation is : r + 2 = 7
Step-by-step explanation:
1+1+1+1+1+1+1 = r + 1 +1
7 = r + 2
R = 7-2
R = 5
The equation to represent the image is 2 + r = 7.
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
Given is an image of the hanger which is in the balanced form.
Balanced form means that both sides are having the same amount.
That is, both sides of the hanger consist of some expressions which are equal to each other.
The left hand sides consists of 7 one's.
So the left hand sides is 7 × 1 = 7
Right hand side consists of 2 ones and an unknown value r.
So right hand side consists of 2 + r.
Both sides are equal.
The equation can be written as,
7 = 2 + r
2 + r = 7 [By commutative property]
Hence the equation is 2 + r = 7.
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