(i) Given radius r = 15 cm ∴ diameter d = 2 x 15 = 30 cm Circumference C = πd units = 227227 x 30 = 66076607 = 94.28 cm (ii) Given circumference C = 1760 cm 2πr = 1760 2 x 227227 x r = 1760 r = 1760×72×221760×72×22 = 160×72×2160×72×2 = 40 x 7 = 280 cm Diameter = 2 x r = 2 x 280 = 560 cm (iii) diameter d = 24m radius r = d2d2 = 242242 = 12 m Circumference C = 2 πr units = 2 x 227227 x 12 = 52875287 = 75.4 m Tabulating the results S. No. radius (r) diameter (d) circumference (C) (i) 15 cm 30 cm 94.28 cm (ii) 280 cm 560 cm 1760 cm (iii) 12 m 24
a bit messy sorry for that
Find the indicated side of the
right triangle
60°
7
30°
х
X=
= [?] )
The value of x is 14 units.
Trigonometry valuesWhen handling and dealing with difficulties involving the measurement of length and angles of a right-angled triangle, trigonometric values of ratios such as sine, cos, tan, cosec, cot, and secant come in handy. The trigonometric function is widely used to solve trigonometric issues at 0°, 30°, 45°, 60°, and 90°.
How to determine value of x?We know for angle of 30° the base is 7 and perpendicular is x
then
sin30° = 7/x
[tex]\frac{1}{2} =\frac{7}{x}[/tex]
x = 7
hence, the value of x = 14 units
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expand the square of a binomial (r-q)^2
Answer:
Step-by-step explanation:
Either memorize these two formulas, or derive them through multiplying r - q by r - q.
(r - q)^2 = r^2 - 2qr + q^2, and
(r + q)^2 = r^2 + 2qr + q^2 This is the square of the binomial (r + q).
In the set {(2,4),(5,6),(2,-3)} why is this relation not a function?
Answer:
This relation is not a function because the x coordinate "2" repeats in more than two functions.
Step-by-step explanation:
Hope it helps :)
One angle of a parallelogram measures 70°. What are the measures of
the other three angles in the parallelogram?
Answer:
70,110,110
Step-by-step explanation:
angles in a parallelogram=360, opposite angles are equal, so two of the angles measure 70° each, 70+70=140, 360-140= 220, 220÷2= 110
PLEASE HELP AND NO LINKS OR YOU WILL BE REPORTED
I need help with this please help me I wanna say the answer is 10 but I’m afraid I’m wrong
Answer:
You're right its 10
Computer screen looking kinda dirty ngl
Step-by-step explanation:
f(x) = 3 x² + 5 x - 7 &
g(x) = x² + 8 x + 10
Asked=
a. f(x) + g(x) =
b. f(x) - g(x) =
Answer:
4x² + 13x + 3 and 2x² - 3x - 17
Step-by-step explanation:
(a)
f(x) + g(x)
= 3x² + 5x - 7 + x² + 8x + 10 ← collect like terms
= 4x² + 13x + 3
(b)
f(x) - g(x)
= 3x² + 5x - 7 - (x² + 8x + 10)
= 3x² + 5x - 7 - x² - 8x - 10 ← collect like terms
= 2x² - 3x - 17
Choose the best response
Answer:no
Step-by-step explanation:shdbdjxbejxidvdkdidbdndjd
What is 3.6 subtract 0.7
Answer:
2.9
Step-by-step explanation:
3.6 - 0.7 = 2.9
Answer:
2.9 。◕‿◕。 make as brainlest
explain
3.6 - 0.7 =2.9
4. What happens to the average kinetic energy of matter when heated?
Answer:
because it is melted
Step-by-step explanation:
let
body heating on 100c and its average is 50
Find the measure of angle 1.
Answer:
Do you have an attached picture?
Step-by-step explanation:
Answer:
There's nothing there
Step-by-step explanation:
The points I, J, K and L all lie on the same line segment, in that order, such that the ratio of IJ : JK: KL is equal to 4:6: 1. If IL = 22, find JK.
Answer:
12
Step-by-step explanation:
First we find how much the ratio is
4:6:1 = 11 which is half of 22
You have to double each in order to get to 22
IJ:JK:KL
4 : 6 : 1 =11
8 : 12 : 2 =22
JK=12
kengrew 4/5 of an inch last year sang grew three eighths of an inch who grew more and by how much
Answer:
Ken;
Step-by-step explanation:
Ken grew 4/5 of an inch. 4/5=0.8
Sang grew 3/8 of an inch. 3/8= 0.375
0.8 > 0.375 so Ken grew more.
0.8 - 0.375 = 0.425
So, Ken grew 0.425 more inches than Sang grew. 0.425 is also the same thing as 17/40.
what is the quotient?
Answer:
1/9
Step-by-step explanation:
(-3)^0 = 1
(-3)^2 = 9
so, 1/9
PLEASE HELp find the value of each variable in the parallelogram
Answer:
z = 28
d = 126
Step-by-step explanation:
20 = z-8
20+8= z-8+8
28 = z
d-21 = 105
d-21+21 = 105+21
d = 126
The value of variable d is 126 degrees and value of variable z is 28 in the parallelogram.
What is Parallelogram?A parallelogram is a simple quadrilateral with two pairs of parallel sides.
We know that the opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.
So d-21=105
Add 21 on both sides
d=105+21
d=126
and 20=z-8
Add 8 on both sides
20+8=z
28=z
Hence, the value of variable d is 126 degrees and value of variable z is 28 in the parallelogram.
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rob built a model of the 1903 Wright Flyer using a scale of 5 inches=16 feet. If the wingspan of his model is 12.5 inches long, find the wingspan of the actual flyer
Answer:
40.3
Step-by-step explanation:
ratios
Please help what is the answer if you put a link you will get reported
Answer:
it's 1and 3 are the modes
Gotham government officials have a 71.3% chance of being corrupt. Determine the
probability that a randomly selected Gotham government official is not corrupt.
Q
Your Answer:
Kelly had an apple. She cut it in half, and then she cut it in half again.
She ate three pieces of the apple. How many pieces did Kelly have left?
Answer:
1
Step-by-step explanation:
Answer:
kelly had only 1 piece left
Step-by-step explanation:
she cut it in half she got 2 pieces , when she cut it again in half she got 2 more . she then ate 3 pieces and 1 got left.
total piece= 4
eaten =3
left = 1
Two catalysts may be used in a batch chemical process. Twelve batches were prepared using catalyst 1, resulting in an average yield of 84 and a sample standard deviation of 3. Fifteen batches were prepared using catalyst 2, and they resulted in an average yield of 90 with a standard deviation of 2. Assume that yield measurements are approximately normally distributed with the same standard deviation.
(A) Is there evidence to support the claim that catalyst 2 produces higher mean yield than catalyst 1? Use alpha = 0.01.
(B) Find a 99% confidence interval on the difference in mean yields that can be used to test the claim in part (a). (e.g. 98.76).
Answer:
Step-by-step explanation:
From the given information:
Let assume:
[tex]\mu_1 =[/tex] population mean for catalyst 1
[tex]\mu_2 =[/tex] population mean for catalyst 2
Then:
Null hypothesis: [tex]\mu_1 \ge \mu_2[/tex]
Alternative hypothesis: [tex]\mu_1 <\mu_2[/tex]
[tex]\alpha= 0.01[/tex]
By using MINITAB software to compute the 2 sample t-test, we have:
Two-Sample T_Test and CI
Sample N Mean StDev SE Mean
1 12 94.00 3.00 0.87
2 15 90.00 2.00 0.52
Difference = [tex]\mu_1(1)-\mu_2(2)[/tex]
Estimate of difference: -6.00
99% upper bound for difference: -3.603
T-test of difference: 0 (vs <): T-value = -6.22
P.value = 0.000
DF = 25
Both use Pooled StDev = 2.4900
From above result
the test statistics = -6.00
p-value = 0.00
Decision Rule: To reject [tex]H_o\ \ if \ \ p \le \alpha[/tex]
Conclusion: Provided that p-value is < ∝, we reject [tex]H_o[/tex]. Hence, there is sufficient evidence to support the given claim.
b) From the MINITAB;
The 99% C.I on the difference in the mean yields that can be applied to test the claim in part (a) is:
[tex]\mathbf{\mu_1 -\mu_2 \le -3.60}[/tex]
Complete the expressions that would make them a perfect square trinomial.
a.
x² – 8x+
b. x2 + 20x +
C.
x² – 16x +
d. x2 + 9x +
Answer:
a) 16
b) 100
c) 64
d) [tex]\frac{81}{4}[/tex][/tex]
Step-by-step explanation:
Perfect square trinomial:
A perfect square trinomial has the following format:
[tex](x \pm a)^2 = x^2 \pm 2ax + a^2[/tex]
a.
x² – 8x
[tex]x^2 - 8x = x^2 - 2ax[/tex]
So 2a = 8, a = 4. Then
[tex]a^2 = 4^2 = 16[/tex]
The perfect square trinomial is [tex]x^2 - 8x + 16[/tex]
b. x2 + 20x +
2a = 20, so a = 10
[tex]a^2 = 10^2 = 100[/tex]
The perfect square trinomial is [tex]x^2 + 20x + 100[/tex]
C.
x² – 16x +
2a = -16, so a = -8.
[tex]a^2 = (-8)^2 = 64[/tex]
The perfect square trinomial is [tex]x^2 - 16x + 64[/tex]
d. x2 + 9x +
[tex]2a = 9[/tex], so [tex]a = \frac{9}{2}[/tex]
[tex]a^2 = (\frac{9}{2})^2 = \frac{81}{4}[/tex]
The perfect square trinomial is [tex]x^2 + 9x + \frac{81}{4}[/tex][/tex]
what is 13.646 rounded to the nearest whole number
Answer:
The answer is 14.
Step-by-step explanation:
which graph represents the function f(x) = 4|x|?
the answer to your question is B / the second graph
Answer:
the 2nd one(the steep one thats in the middle of top row)
Step-by-step explanation:
it transformed the function with a vertical stretch of 4
A collection of coins is inside a bag. Find the probability of selecting a quarter out of the bag by only removing one coin at a time. Each time you select a coin, you mark
the coin on the tally chart below, and then put the coin back in the bag.
Coin
Number of Coins
cent
6
Inickel
4
dime
10
quarter
12
Answer:3/8
Step-by-step explanation:
Chemicals A and B react to form one of
two different compounds. When 1 mole of
Chemical A reacts with 1 mole of Chemical
B, the product is 1 mole of a compound with
a molar mass of 72 grams. When 2 moles of
Chemical A react with 3 moles of Chemical
B, the product is 1 mole of a compound with
a molar mass of 160 grams. What is the molar
mass, in grams, of Chemical A? (Note: The
product compound is the only compound
produced by the reaction.)
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Please help please help please help you
what is the value of log39?
help me with the math problem
Answer: If Im correct, Y= 14
Step-by-step explanation:
If X=2
Then 2x would be 2x2
and that equals 4
so then you have y=4+10
and 4+10=14
y=14
Answer:
y = 14
Step-by-step explanation:
y = 2x + 10 , x= 2.
y = 2(2) + 10
= 4 + 10
= 14
is searching online for airline tickets. Two weeks ago, the cost to fly from Boston to Orlando was $220. Now the cost is $370. What is the percent increase? What would be the percent increase if the airline charges an additional $50 baggage fee with the new ticket price?
Answer:
68% increase and 91% increase
Step-by-step explanation:
220(1+x)=370 -- 220(1+rate increase)=370
1+x=1.68
x=.68
220(1+x)=420 (370+50)=420
1+x=1.909
x=.91
35 minus 3 multiply by 8
Answer:
3*8=24 --------- 35-24=11
Answer:
11
Step-by-step explanation:
The equation is 35 - 3 • 8
To solve it, we can use the order of operations: PEMDAS. (Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction)
Simplify:
35 - 24
11
hope this helps! have a great day!
Write an equation of a line (SLOPE INTERCEPT FORM) that goes through points A(9, 2) and B(- 1, 4) please help!
Answer:
the answer to the problem is -1/4