Find the value of cos Q rounded to the nearest hundredth, if necessary.
Answer:
Q = 61.56°
Step-by-step explanation:
cos ∅ = adjacent/hypotenuse
cos Q = 10/21
cos Q = 0.4762
Q = 61.56°
What is the first step when rewriting y = 6x2 18x 14 in the form y = a(x – h)2 k? 16 must be factored from 18x 14 x must be factored from 6x2 18x 6 must be factored from 6x2 14 6 must be factored from 6x2 18x
The first step when rewriting y = 6x2 + 18x + 14 in the form y = a(x – h)2 + k is to factor out 6 from the first two terms
Writing an equation in vertex formThe standard vertx form of an expression is given as y = a(x – h)^2 + k
Given the quadratic expression given as:
y = 6x^2 + 18x+ 14
Before a quadratic equation can be transformed to its vertex form, the coefiicient of x^2 must be 1.
To do that, you will factor out 6 from the first two terms to have:
6(x^2 + 3x) + 14
Hence the first step when rewriting y = 6x2 + 18x + 14 in the form y = a(x – h)2 + k is to factor out 6 from the first two terms
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The first step is factoring out the 6 from the 6x2 + 18x.
I need help for this question real quick. Please help if you can
Answer:
183.6 [tex]cm^{2}[/tex]
Step-by-step explanation:
Area = Area of trapezium - area of parallelogram-area of semicircle
= [tex]\frac{1}{2}(a+b)h-b*h-\frac{\pi r^{2} }{2\\}[/tex]
=[tex]\frac{1}{2}(25+15)24-13*16-\frac{\pi (15/2)^{2} }{2\\}[/tex]
= 183.6 [tex]cm^{2}[/tex]
Victoria is at an elevation of 150 feet. She hikes down to an elevation of 120 feet in 40 minutes. Then she hikes down to an elevation of 100 feet in 30 minutes.
Answer:
Answer: First portion is greater than second portion.
Step-by-step explanation:
Time taken to hiked down a trail = 10 minutes
Change in elevation = (-) 170 feet
Speed is given by
\begin{gathered}Speed=\frac{Distance}{Time}\\\\Speed=\frac{170}{10}\\\\Speed=17\text{ feet per minute}\end{gathered}
Speed=
Time
Distance
Speed=
10
170
Speed=17 feet per minute
Similarly,
Time taken to hiked down a trail = 20 minutes
Change in elevation = (-)220 feet
Speed is given by
Speed=\frac{Distance}{Time}Speed=
Time
Distance
\begin{gathered}Speed=\frac{220}{20}\\\\Speed=11\text{ feet per minutes}\end{gathered}
Speed=
20
220
Speed=11 feet per minutes
So, we can see that first portion of the hike where he hiked down a trail at a steady rate for 10 minutes and her change in elevation was (-) 170 feet, was her rate of change in elevation greater.
As 17 feet per minutes is greater than 11 feet per minutes.
Find the perimeter of the semicircular region. Round your answer to the nearest hundredth.
The perimeter is about
meters.
Answer:
23.14
Step-by-step explanation:
The semi circular region's diagram looks as if it is half of a circle, cut in half by its diameter.
So the circumference of a circle is 2πr or πd
This is half a circle, so the formula is πd/2
π9/2 = 14.137
However, that's only half of the circumference. That does not contain the diameter that is also included.
So if you add 9m to that you get 23.137
Find the measure of the angles.
3
62
mZ1 =
mZ2 =
Answer:
Step-by-step explanation:
Pls help me on this question
Check the picture below.
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What is the surface area of this cone?
Use ≈ 3.14 and round your answer to the nearest hundredth.
15 mm
12 mm
square millimeters
Pls help me !! Pls help me !!
Answer:
x= -2
Step-by-step explanation:
Make denominator same
3*(x+10)/12 - 2*(x-10)/12 = 6*(x+10)/12
denominators are same so numerators has to same as well
3*(x+10)-2*(x-10)=6*(x+10)
expand brackets
3x+30-2x+20 = 6x+60
x+50=6x+60
x-6x=60-50
-5x=10
x= -2
Line t is tangent to the circle. Find the measure of arc DEF.
Answer: 234 degrees
Step-by-step explanation:
Angle formed by a chord and a tangent has half the measure as the arc formed by the chord
The value of measure of arc DEF is,
⇒ 234 degree
What is mean by Angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
Given that;
Line t is tangent to the circle.
Hence, We know that;
The angle formed by a chord and a tangent is equal to 1/2 the measure of the intercepted arc.
Thus, The value of measure of arc DEF is,
⇒ 2 x 117 degree
⇒ 234 degree
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Malini answered 68 problems on a test correctly and received a grade of 80%. How many problems were given on the test, if all problems carried the same number of marks?
Answer:
Below in bold.
Step-by-step explanation:
80% is equivalen to 68 correct answers
1% .. .. .. 68/80 ..
100% ,, ,, ,, (68/80) * 100 = 85 questions.
32/4 times (16 times 1 over 2) minus 2 show your work I NEED HELP ASAP PLSSSS MY DAD IS GOING TO KILL ME
Answer:
62
Step-by-step explanation:
In this scenario, we would use BODMAS to determine where to start.
B - Brackets
O- Of
D - Division
M - Multiplication
A - Addition
S - Subtraction
First, let's start with the brackets.
16 X [tex]\frac{1}{2}[/tex] is the same as 16 X 0.5.
16 X [tex]\frac{1}{2}[/tex] = 8
Next is the division sum.
32 ÷ 4 = 8
Afterwards, we multiply both answers.
8 X 8 = 64
Your answer is then minused by 2 and leads to the final answer.
64 - 2 = 62
An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 22 feet up. The ladder makes an angle of 77^{\circ}
with the ground. Find the length of the ladder. Round your answer to the nearest tenth of a foot if necessary.
The ladder and the outside wall form a right triangle
The length of the ladder is 97.8 feet
How to determine the length of the ladder?The given parameters are:
Distance (B) = 22 feet
Angle of elevation (θ) = 77 degrees
The length (L) of the ladder is calculated using the following cosine ratio
cos(θ) = B/L
So, we have:
cos(77) = 22/L
Make L the subject
L = 22/cos(77)
Evaluate the product
L = 97.8
Hence, the length of the ladder is 97.8 feet
Read more about right triangles at:
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The weights of books in a bookcase are normally distributed with a mean of 13. 5 pounds and a standard deviation of 2. 3 pounds. There are 145 books on the bookshelf how many of the books will weigh 11 pounds or more
89.09% of books will weigh 11 pounds or more, then the number of books will be 129.
What is a z- score?The z-score is a numerical measurement used in statistics to refer to how much a given value differs from the standard deviation.
The weights of books in a bookcase are normally distributed with a mean of 11.6 pounds and a standard deviation of 1.3 pounds. There are 136 books on the bookshelf.
Then the z-score when the books will weigh 11 pounds or more will be
[tex]z= \frac{11-13.5}{2.3} \\\\z= -1.0869[/tex]
Then the probability will be
[tex]P(x > 11) = 1-P(x < 11 ) = 0.8909[/tex]
89.09% of books will weigh 11 pounds or more, then the number of the books will be
=145 × 0.8909
=129.1805 ≈ 129
More about the z-score link is given below.
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If twice the age of son is added to age of father, the sum is 56. But if twice the age of the father is added to the age of son, the sum is 82. Find the ages of father and son.
Answer:
Age of Father- 36
Age of Son- 10
WHOEVER HELPS ME WITH THESE 4 QUESTIONS WILL GET 60 POINTS AND RIGHT AWNSERS I WILL RATE U BRAINLIEST thank u so much and pls hurry up i only have 7 min left! ( pls good explanation)
Answer:
34) 5 questions
35) 8 questions
36) 9 questions
37) 10 questions
Step-by-step explanation:
We could create an exponential function for this scenario, but it is quicker and easier to simply list the potential scores.
We are told that the initial score is 1.
We are told that the the score doubles each time.
Therefore, the scores in sequence are:
1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024 ... etc.
34) 16 is the 5th term in the sequence, so 5 questions
35) 128 is the 8th term in the sequence, so 8 questions
36) 256 is the 9th term in the sequence, so 9 questions
37) 512 is the 10th term in the sequence, so 10 questions
Which of the following are examples of exponential decay? Select all that apply.
Math Nation
十
O
A vehicle depreciates 13% each year.
A tree is doubling in height each year.
D
An investment earns a 5% interest each year.
0
Air pressure decreases 12% for every 1000 meters in height.
O
The population of a town is growing at an annual rate of 3.5%.
0
A retirement account decreases by $12,000 each year.
A radioactive element has a decay rate of 10%.
Find the perimeter of the composite figure
Answer:
104+16π
Step-by-step explanation:
Triangle Formula is bh1/2
Rectangle is lxw
Semicircle is 1/2 π r^2
What is the spatial relationship between a rectangle and a parallelogram?
Answer:
a rectangle is a parallelogram as the parallogram is made up of 2 triangles and a smaller rectangle. When the rectangle is divided into 2 triangles and another small rectangle, and is then being put together with the triangles on each side, it will be a parallelogram.
Step-by-step explanation:
Explanation:
A rectangle has the following properties:
Has 4 sidesHas 4 right anglesOpposite sides lengths are equal.Diagonals of rectangle are equal.Opposite sides are parallel.A parallelogram has the following properties:
Has 4 sidesOpposite angles are equal.Opposite sides are equal.Opposite sides are parallel.The similiarities between a rectangle and a parallelgram:
Has 4 sidesOpposite sides are parallel.Opposite sides are equal.Opposite sides lengths are equal.The difference between a rectangle and a parallelogram:
The main difference between a rectangle and a parallelogram is that a rectangle has four right angles while a parallelogram does not have four right angles.
Jules draws the incenter of ABC. Which term describes the three segments Jules draws inside the triangle?
a.medians
b.angel bisector
c.altitudes
d.perpendicular bisectors
Answer:
b) angle bisector of angle ABC
3 A fashion designer checks the price of a certain fabric. Manufacturer A charges $7.50 per yard. The graph shows the price that Manufacturer B charges. a. What is the initial value of each function? b. How much does 400 yd of fabric cost at each manufacturer? How much does 800 yd of fabric cost at each manufacturer? c. What can you conclude about the two functions? Explain. d. Manufacturer C offers the fabric for $5.50/yd but you have to buy at least 500 yd. What should the designer do if she needs 400 yd? Explain.
Answer: Price of 400 yd of fabric from Manufacturer A is = $7.50 X 400= $3,000. From given graph, we can observe that the charge for 800 yards of fabric is = $6,000
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What causes wind?
Question 3 options:
There is an increase in temperature and an increase in density.
An area of high pressure pushes toward an area of low pressure.
An area of low pressure pushes toward an area of high pressure.
An area of high pressure pushes toward an area of low pressure causing wind
I attached a diagram that can hopefully help you visualize the situation
Hope that helps!
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I love it too man or girl (・∀・)
help (picture below!)
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Answer:C
Step-by-step explanation:
Okay so the value of 'a' is 2 so anywhere you see 'a', you substitute its value for 22(5-a)² + 7a2(5-2)² +7×2 2(3²) + 14 (2×9) + 1418 + 1432Answer:
option C
Step-by-step explanation:
Ive attach my work
Hppe it hels, Let me know if you have any questions !
katie says the graph of y = 8 (1/2)^x is the same as the graph f(x) = 8(1/2)^x. Do you agree? explain your reasoning.
Answer:
Yes
Step-by-step explanation:
In two-demensional graphing f(x) and y are used in the same way. They both represent a "function of x"
Find the volume of the following. Show your work
Answer:
the #1 one is about 307.88 & the #2 on is 100.53
Step-by-step explanation:
Answer:
308 in³, 101 in³ (from left to right)
Step-by-step explanation:
Volume of cylinder= πr²h, where r is the radius and h is the height.
Cylinder on left
radius= 7 in
height= 2 in
Volume
= π(7²)(2)
= 98π
= 308 in³ (3 s.f.)
Cylinder of right
radius= 4 in
height= 2 in
Volume
= π(4²)(2)
= 32π
= 101 in³ (3 s.f.)
The equation tan(30 degrees)=5/b can be used to find the length of AC.
What is the length of AC? Round to the nearest tenth.
Answer:
[tex]\huge\boxed{\sf b = 8.7 \ cm}[/tex]
Step-by-step explanation:
Given equation:
[tex]\displaystyle tan (30 \textdegree) = \frac{5}{b}[/tex]
We have to find b.
tan 30° = 0.6
[tex]\displaystyle 0.6 = \frac{5}{b} \\\\Multiply \ b \ to \ both \ sides \\\\0.6 \times b = 5 \\\\Divide \ 0.6 \ to \ both \ sides\\\\b = \frac{5}{0.6} \\\\b = 8.7 \ cm \\\\\rule[225]{225}{2}[/tex]
Write an expression to show the show sum of g and h reduced by 11
Explanation:
The sum of g and h is the result of adding them. That means we have g+h so far. We reduce it or shrink that result by 11, which indicates we subtract off 11. Therefore, we end up with g+h-11
i need help will give points no scam just please give me the answers and we will both be on our way please no scamming cause its annoying also this is eighth grade math work
Answer:
BAStep-by-step explanation: