Answer:
[tex]x=3.18[/tex] [tex]cm[/tex]
Explanation:
[tex]x=3.18[/tex] [tex]cm[/tex]
Substitute [tex]y=6 cm[/tex] into [tex]\frac{}{AC} =y:\frac{}{AC} =6cm[/tex]
Substitute [tex]0=32[/tex] into ∠[tex]CAB=0:[/tex] ∠[tex]CAB=32^o[/tex]
sinA=leg opposite ∠A/hypotenuse : [tex]sin(CAB)=\frac{\frac{}{BC} }{\frac{}{AC} }[/tex]
Substitute [tex]\frac{}{BC} =x,\frac{}{AC}=6cm,[/tex] ∠[tex]CAB=32^o[/tex]
into sin(∠[tex]CAB[/tex]) [tex]=\frac{\frac{}{BC} }{\frac{}{AC} }:sin(32^o)=\frac{x}{6}[/tex]
Calculate [tex]sin(32^o)=\frac{x}{6} :x=3.18cm[/tex]
A company is designing a new cylindrical water bottle. The volume of the bottle will be 226 cm cubed. The height of the water bottle is 8.2 cm. What is the radius of the water bottle? Use 3.14 for pi
Need answer asap plsss!!
Answer:
2.96 cm to the nearest hundredth.
Step-by-step explanation:
V = 3.14 r^2 h
226 = 3.14 * r^2 * 8.2
r^2 = 226 / (3.14*8.2)
r^2 = 8.7774
r = 2.96 cm to the nearest hundredth.
which of the following is a true statement
Answer:
The correct answer is the second one.
Step-by-step explanation:
68/5 - 18/5 = 50/5
50/5 simplified is 10
Making the second equation true.
Hope this helps:) Goodluck!
Pyramid A has a volume of 60 mm3 and Pyramid B has a volume of 937.5 mm3. What is the ratio of their heights?
A pyramid is a polyhedron built by connecting a polygonal base and a point known as the top. The ratio of the height of pyramid A to pyramid B is 0.064.
What is a pyramid?A pyramid is a polyhedron built by connecting a polygonal base and a point known as the top. A lateral face is formed by the base edge and top of each triangle.
The volume of a pyramid is given by the formula,
Volume of the pyramid = (Length×Width×Height)/3
= (Area of base ×Height)/3
If the area of the base of the two pyramids is the same, then the ratio of the volume of the two pyramids will be,
[tex]\dfrac{\text{Volume of Pyramid A}}{\text{Volume of Pyramid B}} = \dfrac{60\rm\ mm^3}{937.5\rm\ mm^3}\\\\\\\dfrac{3 \times \text{(Area of base})_a \times h_a}{3 \times \text{(Area of base})_b \times h_b}= \dfrac{60}{937.5}\\\\\\\dfrac{h_a}{h_b} = 0.064[/tex]
Hence, the ratio of the height of pyramid A to pyramid B is 0.064.
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In 2017, a chocolate bar had a mass of 250g.
In 2018, the mass of the chocolate bar was reduced to 220g.
Work out the percentage decrease in the mass of the chocolate
bar from 2017 to 2018.
Pls help i didn’t understand what the teach said
Answer:
12% decrease
Step-by-step explanation:
given:
In 2017, a chocolate bar had a mass of 250g.
In 2018, the mass of the chocolate bar was reduced to 220g.
The difference in mass is 250 - 220 = 30g
30 / 250 = 0.12 which is how much out of the 250g
0.12 x 100 = 12
12% decrease in the mass of chocolate bars from 2017 to 2018.
What is Percentage?A percentage is a number or ratio expressed as a fraction of 100.
According to the question, it is given that
The mass chocolate bar had a mass of 250g in 2017
The mass of the chocolate bar was reduced to 220g in 2018
We have to find the percentage decrease in the mass of chocolate bars from 2017 to 2018.
Percentage decrease in the mass of chocolate bars from 2017 to 2018
=(250-220)/250×100
Percentage decrease in the mass of chocolate bars from 2017 to 2018
=30/250×100
=0.12×100
=12%
Therefore 12% decrease in the mass of chocolate bars from 2017 to 2018.
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find the value of x in the given figure
Answer:
20
Step-by-step explanation:
2x+3x+4x = 180 degree
9x = 180
X = 20.
The cost of hiring a games console has a one-off cost of £9 plus 50p every day.
Write a formula for the cost (C) in pounds (£) of hiring a games console for f days.
Help I suck at this Please Help Me!
By using partial products to multiply, 52 × 6 is 312
Multiplying using partial productsFrom the question, we are to use partial products to multiply 52 × 6
The partial multiplication is shown below
5 2
× 6
300 6 × 5 tens (That is, 6 × 5 × 10 = 300)
+ 12 6 × 2 ones (That is, 6 × 2 × 1 = 12)
312
Hence, by using partial products to multiply, 52 × 6 is 312
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One worker takes 20 hours to do a job. A second worker can do the same job in 15 hours. When a third worker is added, it takes the three of them 6 hours to do the job. How long would it take the third worker to do the job
Answer:
20 hrs
Step-by-step explanation:
t = third worker
1 / ( 1/20 + 1/15 + 1/t) = 6
1 = 6/20 + 6/15 + 6/t
3/10 = 6/t
t = 20 hrs
40 points please give the right answer
Step-by-step explanation:
dk if this makes sense
I will give 20 points to whoever helps me answer this and maybe brainlist
Answer:
60 degrees
Step-by-step explanation:
since its a vertically opposite angle so angle 1 will equal angle 3
Answer:
60
Step-by-step explanation:
What are the trigonometric ratios of in a right triangle with the given value tan A = 9/40
The trigonometric ratios of the right triangle with the given value tan A = 9 / 40 are
sin A = 9 / 41
cos A = 40 / 41
Trigonometric ratiosTrigonometric ratios are used to solve for the sides and angles of a right angle triangle.
Therefore,
sin A = opposite / hypotenuse
cos A = adjacent / hypotenuse
tan A = opposite / adjacent
Using Pythagoras theorem, let find the hypotenuse side
c² = 40² + 9²
c = √1681
c = 41
Therefore,
sin A = 9 / 41
cos A = 40 / 41
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Estimate, to the nearest degree, the size of each radian measure in degrees.
a) 2.5
b) 5.2
c) 6.8
B. Just saying, this is an estimate, yet it seems more logical.
Factorize (x-q) (2f+k)-f(r-q)
Answer:
..........................
Find the measure of all sides. Round to the nearest tenth.
Answer:
(15squrt3)/2
Step-by-step explanation:
cos30=x/15
Graph the image of this figure after a dilation with a scale factor of 1/2 centered at the origin. Use the polygon tool to graph the dilated figure.
Answer:
answer is (-2,1), (-1,4), (1,2)
pls mark me as brainliest
What is the mode of the data represented in this line plot? Enter your answer in the box. A line plot. The number line ranges from 0 to 5. There are 2 marks above the 1. There are 3 marks above the 2. There are 4 marks above the 3. There are 3 marks above the 4.
Answer: The mode of the data in the line plot is the data with the highest number of marks
The mode of the data is 8
How to determine the mode?
From the line plot, we have the following frequency table:
Number Frequency
5 2 marks6 4 marks.
7 3 marks
8 6 marks
9 2 marks
10 4 marks
11 2 marks
The number with the highest mark is 9
Hence, the mode of the data is 8
Step-by-step explanation:
will give brainliest
69 + 420 / 3 = ?
Answer:
hope this will help you
Step-by-step explanation:
69+420/3
first of all divide 420 by 3 which is 140
69+140
then add with 69
209
Answer:
The correct answer should be 209.
Step-by-step explanation:
Also here Is your art my good sir!
what are 3 consecutive multiples of 3 if 2/3 of the sum of the first 2 numbers is 1 greater than the third number?
find the surface area of the trianlurprisum.
Answer: 56
Step-by-step explanation:
you multitouch answers I think
963.6 rounded to the whole number
Answer:
964.
Step-by-step explanation:
The first digit after the decimal point is 6 so we round up the 3.
What is the resulting ordered pair if the value of the independent variable is –2? f(x)=2x^3+3x^2 A. (–5, –2) B. (–2, –4) C. (–2, –28) D. (–4, –2)
The resulting ordered pair if the value of the independent variable is –2 will be B. (-2, -4).
How to solve the variable?From the information given, it was stated that we should calculate the resulting ordered pair if the value of the independent variable is –2.
Therefore, in this case, x = -2. Therefore, we will play it into the equation. This will be:
f(x)=2x³ +3x²
= 2(-2)³ + 3(-2)²
= -16 + 12
= -4
Therefore, the ordered pair will be (-2, -4).
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help its urgent!!!!!!!
please help me on this you will get alot of point and brainliest
Answer:
0.8 miles
Step-by-step explanation:
Answer:
5.2 miles
Step-by-step explanation:
Airport to Arcadia is one leg of right triangle = x
Airport to Stafford is leg2 of right triangle = 7.6
9.2 miles is hypotenuse of right triangle
Pythagorean theorem:
x^2 + 7.6^2 = 9.2^2
x = ~ 5.2 miles
please solve
5x+3x-2x=
Answer:
hope it help you
Step-by-step explanation:
[tex]5x + 3x - 2x \\ 8x - 2x \\ 6x[/tex]
Answer:
6x
Step-by-step explanation:
Take x as the common factor and calculate.
5x + 3x - 2xx (5 + 3 - 2)x (8 - 2)6x109-8
y=-x-5
x - 2y = 4
Plot two lines
Answer:
Given the equations, I plotted 2 lines.
Line 1 Line 2
x | y x | y
0 | 101 0 | -5
1 | 101 1 | -6
A factory produces a batch of toy vehicles, 1/3 of which are cars and the rest are trucks. trucks have defective ratio of 0.02 and cars have defective ratio of 0.01. the quality inspector picks a toy vehicle at random from the batch and finds out that it is defective. what is the probability that the vehicle was a truck
Answer:
Step-by-step explanation:
b
4 Here are two squares, A and B. A B The length of each side of square B is 4 cm greater than the length of each side of square A. The area of square B is 70 cmº greater than the area of square A. Find the area of square B. Give your answer correct to 3 significant figures. You must show all your working.
Answer:
116 centimeter squared
Step-by-step explanation:
La²+8La+16 = La²+70
Step-by-step explanation:
8La+16 = 70
8La=70-16
La=54/8
La= 6.75
Area b = (6.75+4)*(6.75+4)
Area b = 10.75*10.75
Area b =115.563
Will mark brainlist to whoever answers first
helppppp please !!!!
Step-by-step explanation:
the extreme values (minimum, maximum) of a function are the zero points of the first derivation of the function.
so,
f'(x) = 2x + b
and then
2x + b = 0
we know, x = 20 for the minimum
2×20 + b = 0
40 + b = 0
b = -40
therefore, the actual function is
f(x) = x² - 40x + 164
the target format is
f(x) = (x - h)² + k = x² - 2hx + h² + k
so,
-40x = -2hx
-40 = -2h
h = 20
and
h² + k = 164
20² + k = 164
400 + k = 164
k = -236
Three straight lines are shown in the diagram.
310°
a
C
38%
87%
Step-by-step explanation:
______________________The sum of angle at a point is 360° so...
310° + a = 360°
a = 360° - 310°
a = 50°
Now...
here b and 180° are supplementary angle so ....
b = 180° - 80°
b = 100°
Again...
The sum of all angle of triangle is 180° so...
100° + 50° + c = 180°
150° + c = 180°
c = 180° - 150°
c = 30°
______________________Hence...the value of a is 50° , b is 100° and c is 30°...
______________________