Answers
Answer:
x = 26.4°
Step-by-step explanation:
Defence angle = x
Side length Opposite to reference angle = 4
Hypotenuse length = 9
Apply trigonometric ratio, SOH. Thus:
Sin x = Opp/Hyp
Sin x = 4/9
[tex] x = sin^{-1}(\frac{4}{9} [/tex]
x = 26.3878° = 26.4° (nearest tenth)
Related Questions
Complete the expressions that would make them a perfect square trinomial.
a.
x² – 8x+
b. x2 + 20x +
C.
x² – 16x +
d. x2 + 9x +
Answers
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]
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.)
Answers
I uplоadеd the answеr to a filе hоsting. Herе's link:
bit․ly/3t54Tdn
What is 3.6 subtract 0.7
Answers
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?
Answers
Answer:
because it is melted
Step-by-step explanation:
let
body heating on 100c and its average is 50
Find the indicated side of the
right triangle
60°
7
30°
х
X=
= [?] )
Answers
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
Learn more about Trigonometry values here: https://brainly.com/question/22698523
#SPJ2
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.
Answers
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
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
Answers
Answer:
You're right its 10
Computer screen looking kinda dirty ngl
Step-by-step explanation:
Choose the best response
Answers
Answer:no
Step-by-step explanation:shdbdjxbejxidvdkdidbdndjd
what is the value of log39?
Answers
In the set {(2,4),(5,6),(2,-3)} why is this relation not a function?
Answers
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 :)
what is 13.646 rounded to the nearest whole number
Answers
Answer:
The answer is 14.
Step-by-step explanation:
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:
Answers
which graph represents the function f(x) = 4|x|?
Answers
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
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?
Answers
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
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?
Answers
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
What is the product?
Answers
Answer:
it is B
Step-by-step explanation:
Brainliest or
5 stars and 1 heart or both if your realy kind
PS correct me if im wrong on the answer
kengrew 4/5 of an inch last year sang grew three eighths of an inch who grew more and by how much
Answers
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?
Answers
Answer:
1/9
Step-by-step explanation:
(-3)^0 = 1
(-3)^2 = 9
so, 1/9
Find the measure of angle 1.
Answers
Answer:
Do you have an attached picture?
Step-by-step explanation:
Answer:
There's nothing there
Step-by-step explanation:
PLEASE HELp find the value of each variable in the parallelogram
Answers
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.
To learn more on Parallelogram click:
https://brainly.com/question/19187448
#SPJ2
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
Answers
Answer:
40.3
Step-by-step explanation:
ratios
expand the square of a binomial (r-q)^2
Answers
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).
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
Answers
Answer:3/8
Step-by-step explanation:
35 minus 3 multiply by 8
Answers
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!
Please help please help please help you
Answers
One angle of a parallelogram measures 70°. What are the measures of
the other three angles in the parallelogram?
Answers
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
help me with the math problem
Answers
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
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).
Answers
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]
Please help what is the answer if you put a link you will get reported
Answers
Answer:
it's 1and 3 are the modes
f(x) = 3 x² + 5 x - 7 &
g(x) = x² + 8 x + 10
Asked=
a. f(x) + g(x) =
b. f(x) - g(x) =
Answers
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