Answer:
central angle ( θ) = 1.91875radians
central angle ( θ) in degrees = 109.92degree
Step-by-step explanation:
Given:
diameter of 320 millimeters
Then the Radius of the circular
brake drum can be calculated as
Radius =Diameter/2
Radius = 320 millimeters/ 2
Radius= 160 millimeters
central angle ( θ) = arc/r
central angle ( θ) = 307 millimeters /160 millimeters
central angle ( θ) = 1.91875radians
Than to convert it to degrees we have
1rad × 180/π = degree
Where π =3.142
central angle ( θ) = 1.91875radians * 180/π
Therefore,central angle ( θ) in degrees = 109.92degree
The radius of a semicircle is 1 meter. What is the semicircle's area?
Answer:
1.57Step-by-step explanation:
[tex]A -of -circle= \pi*r^{2}\\ Note : A -semicircle- is -half -of- a- circle\\Area = \frac{ \pi*r^{2}}{2} \\r = 1\\A =\frac{3.14*1^{2}}{2}\\A = \frac{3.14}{2} \\A = 1.57[/tex]
Which is the best approximation for the measure of angle ABC?
27.7°
31.7°
58.3°
62.3°
Answer:
58.3°
Step-by-step explanation:
Missing Information:
In this question the diagram is missing Following are the attachment of diagram of the given question.
As we seen that the vertex c is making the right angle i,e 90° also there is an acute angle the Hypotenuse: 20 cm and the perpendicular is 10.5 cm
Now we have find the best approximation of the angle ABC used the cosx trigonometric function.
[tex]cos\ x\ =\ \frac{perpendicular}{Hypotenuse} \\[/tex]
Putting the value of perpendicular and hypotenuse in the previous formula we get
[tex]cos\ x\ =\ \frac{10.5\ cm}{20\ cm} \\[/tex]
[tex]x\ =cos^{-1}\ 0.525\\x \ = \ 58.33[/tex]
Answer:
58.3
Step-by-step explanation:
jus did the test review on EDGE! :)
Find the mean of the 32 numbers, such that if the mean of 10 of them is 15 and the mean of 20 of them is 11. The last two numbers are 10.
Answer:
last two numbers are 10,so their mean is 10
adding all means give us the mean of total data
Step-by-step explanation:
what is the measure of XYZ
Answer:
B
Step-by-step explanation:
The arc XZ is twice the measure of the inscribed angle XYZ , that is
arc XZ = 2 × 60° = 120°
The complete circumference = 360° , thus
arc XYZ = 360° - arc XZ = 360° - 120° = 240° → B
Answer:
B. 240°
Step-by-step explanation:
By inscribed angle theorem:
[tex] m\widehat({ZX) } = 2\times \angle XYZ\\
m\widehat{(ZX) } = 2\times 60\degree \\
\purple {\bold {m\widehat{(ZX) } = 120\degree}} \\
\because m\widehat{(XYZ)} = 360\degree - m\widehat{(ZX)} \\
\therefore m\widehat{(XYZ)} = 360\degree - 120\degree \\
\huge \orange {\boxed {\therefore m\widehat{(XYZ)} = 240\degree}} \\[/tex]
Answer this please thanks
Answer:
z=5, m<b=66 degrees
Step-by-step explanation:
8z+74+2z+56=180
10z+130=180
10z=50
z=5
Answer:
Step-by-step explanation:
To Find the value of x in this Alternate Interior Angle Relationship..
add [tex]8x+74[/tex] and [tex]2x+56[/tex]
[tex]8x+74+2x+56[/tex] combine like terms
[tex]10x+130=180[/tex]
subtract 130 on both sides
[tex]10x=50[/tex]
divide 10 on both sides
[tex]x=5[/tex]
Now solve for the angle of measure B
∠B=2(5)+56
∠B=10+56
∠B=66°
What is 3 3/4 as a fraction in its lowest term?
Please Explain it
Answer:
15/4
Step-by-step explanation:
This is because the denominator is 4 which means that there has to be 4 above it to make one:
4/4=1
So, with that being said, we do 4x3 = 12
But then we add 3 to the numerator(top number of the fraction) because the starting equation was:
3 3/4 = 15/4
Hope this helps!
Have a great day! :)
All triangles are similar
True
False
WILL GIVE BRAINLIEST!!
The rule as a mapping for the translation of a rectangle is (x, y) - (x - 5, y
+ 2). Which describes this translation? *
a translation of 5 units down and 2 units to the right
O a translation of 5 units down and 2 units to the left
a translation of 5 units to the right and 2 units up
O a translation of 5 units to the left and 2 units up
Answer:
D.
Step-by-step explanation:
Since its x minus five, that means you must be moving left to make it negative. This is thus moving left five. This then cancels out A , B, and C, leaving you with D.
Use the multiplier method to increase £88 by 14%
Answer:
£100.32
Step-by-step explanation:
£88 + 14% × £88 = £88
= 1.14×£88
= £100.32
Answer:
£100.32Step-by-step explanation:
[tex]88 \times \frac{14}{100} = 12.32[/tex]
so,
[tex]88 + 12.32 = 100.32[/tex]
hope this helps you
If ZPQR measures 75°, what is the measure of ZSQR?
Badr cycled for 1.5 hours at an average speed of 18 km/h. Tabita travelled the same route as Badr but it took her 1 hour 15 minutes. What is Tabita's average speed to 1 dp?
Answer:
Tabita's average speed was [tex]21.6\,\,\frac{km}{h}[/tex]
Step-by-step explanation:
Let's start by finding the distance Badr covered during the 1.5 hour trip at the speed of 18 km/h. We use the velocity formula for that:
[tex]vel=\frac{distance}{time} \\18=\frac{distance}{1.5} \\distance=18\,*\,1.5 \,\,km\\distance= 27\,\,km[/tex]
Using the same basic formula, we can now estimate Tabita's average speed knowing that it took her 1 hour and 15 minutes (1.25 hours) to complete the trip:
[tex]vel=\frac{distance}{time} \\vel=\frac{27\,\,km}{1.25\,h}\\vel=21.6\,\,\frac{km}{h}[/tex]
Answer:
21.6
Step-by-step explanation:
i would appreciate if someone helped. i don't understand
Answer:
44 units
Step-by-step explanation:
When you perform a dilation on a figure, all of the side lengths of the figure get multiplied by the scale factor. This means that the perimeter is also multiplied by that scale factor. Since in this case that scale factor is 2, the new perimeter is 22*2=44 units. Hope this helps!
Answer:
44 units.
Step-by-step explanation:
Dilation is the transformation of an image's size by a scale factor.
The scale factor is given 2.
The rectangle has a perimeter of 22.
22 × 2 = 44
The perimeter for the resulting image is doubled by the scale factor of 2.
Calculate y when x = 5
Y=2x+3
y=13
Step-by-step explanation:
given that,
x=5
to find,
y=2x+3, when x=5
substitute 5 in the place of "x" we get,
y=2×5+3
according to BODMAS rule( bracket of division multiplication addition and subtraction) first we have to multiply 5 with 2 and then add the product with 3 we get,
y=10+3
y=13
Answer: y=13
Step-by-step explanation:
[tex]y=2(5)+3\\multiply\\y=10+3\\add\\10+3=13\\y=13[/tex]
Please help me thanks you
Can u guys PLEASE answer this question ASAP. find the gradient and the y intercept of y=-2x and graph it
Answer:
Gradient = m = -2
Y-intercept = b = 0
Step-by-step explanation:
Compare the given equation with slope-intercept form of equation.
y = mx + b
y = -2x + 0
So، m = -2 and b = 0
Best Regards!
please help this is my last question
Step-by-step explanation:
1. 180-115 = 65°
2. 360-304= 56°
3. 180 - (65°+56°)
= 180 - 121
x = 59°
Answer:
this may help uh to solve this type of problems.
What is the area of a parallelogram if the coordinates of its vertices are (0, -2), (3, 2), (8, 2), and (5, -2)?
Answer:
The area of the parallelogram is 20 unit²
Step-by-step explanation:
We have that the area of a parallelogram = Base length, l × Height, h
The length of the base, l = √((5 - 0)² + (-2 - (-2))²) = 5
Given that the base of the parallelogram is parallel with to the x-axis, we have that the height is the difference between the a higher and a lower y-coordinate as follows;
h = y₃ - y₁ = 2 - (-2) = 2 + 2 = 4
Therefore, the area of the parallelogram, A = l × h = 4 × 5 = 20 unit².
5 3/5 divide 2 2/3 answer in simplest form
Answer:
[tex]1 \frac{2}{5}[/tex]
Step-by-step explanation:
= [tex]5\frac{3}{5} / 2 \frac{2}{3}[/tex]
= [tex]\frac{28}{5} / \frac{8}{2}[/tex]
= [tex]\frac{28}{5} * \frac{2}{8}[/tex]
= [tex]\frac{7}{5}[/tex]
= [tex]1 \frac{2}{5}[/tex]
Which rational number is one tick mark to the left of Negative three-fourths on the number line below? A number line going from negative 2 to positive 2 in increments of 1. There are 4 equal spaces between each number. Negative 1 and one-fourth –1 Negative StartFraction 2 Over 4 EndFraction 0
Answer:
(B) -1
Step-by-step explanation:
We want to determine the rational number which is one tick mark to the left of [tex]-\dfrac{3}{4}[/tex] .
If the number is to the left, it must be less than [tex]-\dfrac{3}{4}[/tex] .
Since there are 4 equal spaces between each number, the numbers between -1 and 0 are:
[tex]-1,-\dfrac{3}{4},-\dfrac{2}{4},-\dfrac{1}{4},0[/tex]
We can then see that the number one tick to the left of [tex]-\dfrac{3}{4}[/tex] is -1.
The correct option is B.
Answer:
B?????
Step-by-step explanation:
what is the point slope form of a line with slope -4 that contains the point (-2,3)
Answer:
y -3 = -4(x+2)
Step-by-step explanation:
The point slope form of a line is
(y-y1) = m(x-x1)
where m is the slope and (x1,y1) is a point on the line
y -3 = -4(x- -2)
y -3 = -4(x+2)
the graph shown here is the graph of which of the following rational functions?
Answer:
B.
Step-by-step explanation:
The quickest and most fool-proof way to do this is to using a graphing calc to graph the given equations. When you do so, you should see that B is the right choice. You can also tell from the asymptotes. x cannot equal 1 or -1, so B.
Gracie owns a deferred annuity. The contract is tied to a market index, which was at 1000 when Gracie purchased the product and reached 1250 five years later at the end of the contract's crediting term. The 25 percent index gain is the basis for the amount of interest credited to the contract. What kind of annuity does Gracie own?
Answer:
Point to point indexed annuity.
Step-by-step explanation:
An indexed annuity is linked to specific index performance. Point to point indexed annuity is the one which gives interest on the basis of index percentage change. The interest credit is calculated by taking the percentage change between the beginning and end points of the index.
plz help as fast as possible I will give you points
Answer:
The value of the line is 5.83.
Hope it helps!
Answer:
d = √34 or 5.83
Step-by-step explanation:
Distance formula: [tex]d = \sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]
Point R (-3, 1)
Point S (2, 4)
d = √(2+3)²+(4-1)²
d = √(5²+3²)
d = √(25 + 9)
d = √34 or 5.83095
A sales man is paid a basic wage of $225 per week. In addition he is paid a commission of 3% on the value of goods he sells above $5500 . How much commission will he be paid on sales amounting to$12500 and what are his earnings for that week
Answer:
Commission = $375
Total earnings = $600
Step-by-step explanation:
He gets 3% of any sale he makes above %5500 which means his commission received on this sale is;
= 3% * $12500
= [tex]\frac{3}{100} *[/tex] $12500
= 3* 125
= $375
This means his total earnings for the week will be the basic wage plus his commission
$225 + $375
= $600
Find the measure of angle x in the figure below: A.) 65° B.) 70° C.) 110° D.) 125°
Answer: 70ᴼ
Step-by-step explanation:
The triangles are vertical so their angle measures are congruent.
The angles of a triangle add to equal 180ᴼ.
55 + 55 = 110
180 - 110 = 70
Find the 14th term of geometric sequence 5,-10,20,...
Answer:
Step-by-step explanation:
The formula for a geometric sequence is
[tex]a_n=a_1*r^{n-1}[/tex] where n is the position number in the sequence, a1 is the first number in the sequence, and r is the common ratio. For us,
n is 14, a1 is 5, and the common ratio (the number we multiply by each number to get to the next one in line) is -2.
[tex]a__{14}=5*(-2)^{14-1}[/tex] and
[tex]a_{14}=5*(-2)^{13}[/tex] and
[tex]a_{14}=5(-8192)[/tex] so
[tex]a_{14}=-40960[/tex]
What he said should be correct.
The manager of a supermarket records the waiting times of 100 customers.
He wishes to calculate an estimate for the mean waiting time.
He draws this table.
Waiting Time
Number of
Midpoint (x)
fx
(minutes)
customers (0)
0 -
0.5
5
2.5
1 -
1.5
28
2 -
2.5
32
3-
3.5
26
4-5
4.5
9
100
a)
Complete the table.
Answer:
42, 80, 91, 40.5, 256
Step-by-step explanation:
times the f column by the x column
42 time unit
80 time unit
91 time unit
40.5 time unit
256 time unit
How do you explain mean in statistics?In statistics, the Mean is the ratio of the sum of all the observations and the total number of observations in a data set.
What is the formula of mean?[tex]mean = \frac{sum of observations}{number of observation}[/tex]
Learn more about Arthemetic mean here
https://brainly.com/question/512839
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if sinA= 3/4 find. (a) tanA (b):cosA. (c):sinA cosA+tanA/3+4cosA tanA
here is your answer. Please like it rate it and mark me as brainly.
The sales tax in Mike's home city is 8.25%. Mike buys a sweater for $49.95, two pair of slacks for $68.59 each, and a suit for $429.99. How much sales tax does Mike owe?
Answer: $50.91
Step-by-step explanation:
The following information can be gotten from the question;
Cost of sweater = $49.95,
Cost of slacks = $68.59 each,
Cost of 2 slacks = $68.59 × 2
= $137.18
Cost of suit = $429.99.
Total cost = $49.95 + $137.18 + $429.99 = $617.12
Sales tax = 8.25%
The sales tax that Mike owe will be:
= 8.25% × $617.12
= 0.0825 × $617.12
= $50.91
Mike will have to pay a sales tax of $50.91
Alex invests £4000 for 7 years. His investment pays compound interest of x% per annum. At the end of the 7 years alex’s investment is worth £5263.73 . Work out the value of x.
Plz use a method
Answer:
The value of x is 4%