Answer:
16/9.
Step-by-step explanation:
I am assuming you mean tan^2 theta.
The adjacent side of the triangle drawn in Q 4 = 3 (as cos theta = 3/5.
The opposite side of the triangle drawn in Q 4 = sqrt(5^2-3^2) = 4.
The tangent is negative in Q 4
So tan theta = -4/3.
tan^2 theta = 16/9.
A sphere shaped orange has a diameter of 7 centimeters. Find the volume of the orange to the nearest tenth.
22cm^3
Step-by-step explanation:
My education system is different so I dont know what nearest tenth would mean in this .
But going mathematically:
Its diameter is 7 centimetres.
So to find its volume we can use the formula pi/d or pi/r^2
Now, 22/7÷7 would be 22cm³.
what is 75 as a fraction of 125? give your answer in its simplest form.
75 as a fraction of 125 would be 75/125
Now Lets simplify
75/25=3
125/25=5
We get 3/5
We can not reduce 3/5 anymore, so the answer is 3/5
A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25. 75 is 3/5 fraction of 125.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
Let 75 be x fraction of 125. Therefore, we can write the statement as,
x × 125 = 75
x = 75/125
x = 3 /5
Hence, 75 is 3/5 fraction of 125.
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The sample average unrestrained compressive strength for 50 specimens of a particular type of brick was computed to be 3120 psi, and the sample standard deviation was 180. The distribution of unrestrained compressive strength may be somewhat skewed. We want to determine whether the data indicate that the true average unrestrained compressive strength is less than the design value of 3200. Test using α = 0.01.
Answer:
The p-value of the test is 0.0014 < 0.01, meaning that the data indicates that the true average unrestrained compressive strength is less than the design value of 3200.
Step-by-step explanation:
We want to determine whether the data indicate that the true average unrestrained compressive strength is less than the design value of 3200.
At the null hypothesis, we test if the mean is at the design value of 3200, so:
[tex]H_0: \mu = 3200[/tex]
At the alternate hypothesis, we test if it is less than the design value of 3200, so:
[tex]H_a: \mu < 3200[/tex]
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.
3200 is tested at the null hypothesis:
This means that [tex]\mu = 3200[/tex]
The sample average unrestrained compressive strength for 50 specimens of a particular type of brick was computed to be 3120 psi, and the sample standard deviation was 180.
This means that [tex]n = 50, X = 3120, s = 180[/tex]
Test statistic:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{3120 - 3200}{\frac{180}{\sqrt{50}}}[/tex]
[tex]t = -3.14[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample mean below 3120, which is the p-value of t = -3.14, using a one-tailed test, with 50 - 1 = 49 degrees of freedom.
With the help of a calculator, the p-value of the test is 0.0014
The p-value of the test is 0.0014 < 0.01, meaning that the data indicates that the true average unrestrained compressive strength is less than the design value of 3200.
A principal of 3700 is invested at 8.25% interest, compounded annually. How much will the investment be worth after 11 years? Use the calculator provided and round your answer to the nearest dollar.
Elimination was used to solve a system of equations. One of the intermediate steps led to the equation 7x=21. Which of the following systems could have led to this equation
A. 8x-y=15, x+y=-6
B.3x+2y=7, 2x-y=7
C.4x+3y=24, -3x-3y=3
D. 7x+2y=21, -7x-2y=21
Answer:
Step-by-step explanation:
We can do this question by using concept of SYSTEM OF EQUATIONS. The answer for the question is option B.
How do you solve Linear Equations?
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables." A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.
Calculation7x=21 is the intermediate state.
x=3 is the given solution
Substitue x in the given solutions and find y from the given solutions.
9+2y=7 and 6-y=7
so y=-1 in both the cases.
We can do this question by using concept of SYSTEM OF EQUATIONS. The answer for the question is option B.
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[tex]x^{2}[/tex] - 55 = 26
Answer: [tex]x=9,\:x=-9[/tex]
Steps:
[tex]x^2-55=26[/tex]
[tex]\mathrm{Add\:}55\mathrm{\:to\:both\:sides}[/tex]
[tex]x^2-55+55=26+55[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]x^2=81[/tex]
[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]x=\sqrt{81},\:x=-\sqrt{81}[/tex]
[tex]\sqrt{81}[/tex]= 9
[tex]-\sqrt{81}=-9[/tex]
So That Equals:
[tex]x=9,\:x=-9[/tex]
#[tex]Hardnessed To Perfection[/tex]
How many holes need to be drilled for 24 parts
Someone help me pls!!!!????
Answer:
Greatest would be Chlorine Krypton Argon Fluorine and least Hydrogen
Answer:
J, I, G, K, H.
Step-by-step explanation:
The elements go from least to greatest, and since they are negatives, we sort them from the highest negative to the lowest negative.
What is the value of y in the equation 4+ y = -3? (1 point)
07
0 1
O-1
0 -7
calculate the surface area of the net
[tex]\red {incomplete \: question}[/tex]
The circumference of the tire of Melvin’s cycle is 2.5m. He took part in a race of 2km. When
he had covered 1.2km, the tire burst. To finish the race, how many more times should the wheel go
round?
Answer:
320
Step-by-step explanation:
Distance to go
2km - 1.2 km = 0.8km = 800m
Revolutions needed
800/2.5 = 320
From a 60-ft observation tower on the coast, a Coast Guard officer sights a capsized boat. The angle of depression to the
boat is 5º. How far is the boat from the shoreline?
A. 173 ft
B. 523 ft.
C. 686 ft.
D. 60 ft.
C
How far is the boat from the shoreline? C. 686 ft.
Some1 hurry need help
Answer:
B) (-6,9)
Step-by-step explanation:
since it's reflecting on the x-axis, the x is gonna stay the same. the y changes though. opposite of -9 is 9.
hope this helps <3
Answer:
B, (-6, 9)
Step-by-step explanation:
this is because it's like as if it was a mirror, so that is the correct answer
When rotated about its center, a regular nonagon has__
rotational symmetries. In addition to rotational symmetry, a regular nonagon has __
lines of reflectional symmetry.
Answer:
Symmetry in a regular nonagon
A regular nonagon has 9 lines of symmetry and a rotational symmetry of order 9, meaning that it can be rotated in such a way that it will look the same as the original shape 9 times in 360°. Nine 40° of rotation about the center.
Step-by-step explanation:
Help me pleaseeeeeeeeee!!!!
What is the volume of the rectangular prism?
GIVING BRAINLIEST !!!!!
Find the expected value of the winnings
from a game that has the following
payout probability distribution:
Payout ($)
2
4
6
8
10
Probability 0.35 0.2 0.1 0.2 0.15
Expected Value = [?]
Round to the nearest hundredth.
Enter
Answer:
Expected value: $5.20
Step-by-step explanation:
2(0.35)+4(0.2)+6(0.1)+8(0.2)+10(0.15)=5.2, so you can expect to win $5.20 in this game.
Answer:
5.20 is the answer for Acellus it works
Step-by-step explanation:
PLS, NO FILES, OR LINKS, JUST ANSWERS, AND EXPLANATIONS..... What is the combined area of the two bases of the following cylinder? 43.96 in. 2 87.92 in. 2 25.12 in. 2 12.56 in. 2
The combined area of the circular bases of the cylinder is of 25.12 squared inches.
What is the area of a circle?
The area of a circle of radius r is given by:
[tex]A = \pi r^2[/tex]
In this problem, there are two bases, and each base is a circle of r = 2 in, hence the combined area in inches squared of the two bases is given by:
[tex]A_c = 2 \times \pi \times 2^2 = 8\pi = 25.12[/tex]
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Answer:
25.12 squared inches.
Hope this helps!
Solve the simultaneous equations
y = 3 – 2x
x2 + y2 = 18
Show clear algebraic working.
(
x
,
y
)
=
(
3
5
,
4
1
5
)
or
(
x
,
y
)
=
(
−
3
,
−
3
)
Explanation:
Given
[1]
XXX
y
−
2
x
=
3
[2]
XXX
x
2
+
y
2
=
18
Re-writing [1]
[3]
XXX
y
=
2
x
+
3
Substituting
(
2
x
+
3
)
from [3] for
y
in [2]
[4]
XXX
x
2
+
(
2
x
+
3
)
2
=
18
Simplifying
[5]
XXX
x
2
+
4
x
2
+
12
x
+
9
=
18
[6]
XXX
5
x
2
+
12
x
−
9
=
0
Factoring
[7]
XXX
(
5
x
−
3
)
(
x
+
3
)
=
0
⇒
x
=
3
5
or
x
=
−
3
case 1:
x
=
3
5
Substituting
3
5
for
x
in [3]
XXX
y
=
2
(
3
5
)
+
3
=
4
1
5
case 2:
x
=
−
3
Substituting
(
−
3
)
for
x
in [3]
XXX
y
=
2
(
−
3
)
+
3
=
−
3
Theorem: In any circles the same ratio of arc length to radius determines a unique central angle that the arcs subtend:
and conversely, equal central angles determine the same ratio of arc length to radius.
Prove the theorem above using the definition of the radian measure of an angle.
Which equation represents the data in this function table?
A. y = x - 8
B. x= y + 8
C. y = 3x
D. y = x + 3
Answer: The answer is B. Because 3 multiplied by x and add it by 3 equates to y. example: (x=2) 3x2+3= y. y=9 .
The answer is not b
Step-by-step explanation:
8 Mangoes = 30 bananas
5 banana= 2 oranges
15 oranges=? mangoes
Answer:
it would only be 8, unless you need to go down to the decimal point then it would be 8.25
Step-by-step explanation:
it would be 8 because if you need to find how many bananas you have, to do this you would divide 15 by 2 and get 7.5 then you multiply those by 5 to get the number of bananas which would be 37.5, and then if 8 mangos = 30 bananas you only have 8 mangos.
(sorry if this is very jumbled and hard to understand, also getting brainliest would help, thank you)
Mixed Applications: Choose the best strategy
Choose any of the following strategies to solve the problems. Identify the strategy you used in each problem.
Use a formula
Draw a Diagram
Write a Number Sentence
Guess & Check
Where is the problem
i will give Brainiest if you are right
Una persona compra borregos, cabras y puercos jabalí. Son 100 animales vivos en total y paga $100 mil pesos. Cada borrego costó $500 pesos, tres cabras cuestan $4000 y cada puerco jabalí $3500.
Si denotamos con la variable xel número de borregos comprados por la persona, con y el número de cabras y con z el número de puercos jabalí, escribe las ecuaciones que representan las relaciones entre x,y,zde acuerdo a la información proporcionada.
Answer:
I'm sorry I just need points
Step-by-step explanation:
Which of the following numbers is not a perfect square?
49 124 169 361
Answer: 124
Step-by-step explanation: 7^2=49; 13^2=169; 19^2=361. Only 124 cannot be expressed as a square of an integer.
Answer:
124
Step-by-step explanation:
Review the graph of function g(x).
For which value of a does lim g(x) not exist?
X-
O-6
0-3
0 0
2-
Answer:
0-6 de correct answer okay.
At x→ -3 the value of the limit of function g(x) does not exist because the left-hand limit and right-hand limit are not equal an option second is correct.
What is the limit?A limit is a value at which a function approaches the output for the given values in mathematics. Limits are used to determine integrals, derivatives, and continuity in calculus and mathematics.
We have a graph of function g(x)
[tex]\rm \lim_{x \to a}g(x)[/tex]
Let's check at x = -3
Finding the left-hand limit and right-hand limit.
[tex]\rm \lim_{x \to -3^{-1}}g(x) = -2[/tex]
[tex]\rm \lim_{x \to -3^{+1}}g(x) = -4[/tex]
Since the left-hand limit and right-hand limit are not equal then at x = -3 the limit does not exist.
Thus, at x→ -3 the value of the limit of function g(x) does not exist because the left-hand limit and right-hand limit are not equal an option second is correct.
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help me on this plz and thank you
By solving for x you get x=6
Answer:
x = 6
Step-by-step explanation:
12x = 72
72/12 = 6
x = 6
If , what is the truncation error for S3? 0.610 0.774 1.476 1.640
ANSWER: D
Answer:
D
Step-by-step explanation:
Unit Test Review
The truncation error for S3 is 1.640
The correct option is (D)
What is Truncation error?Truncation error is the difference between a truncated value and the actual value.
Given:
[tex]\sum[/tex](1/4)(9/10)^n = 2.25
For S3, put n= 1 to 3
9/40 + 81/400 + 729/4000
= 900+810+7290/4000
=2439/4000
=0.60975
So, Truncation error= 2.25- 0.60975= 1.64025
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Sorry for asking again but I need help ASAP I will give you
100 points and a brainiest
Answer: D. 10.200
Step-by-step explanation:
Answer:
A
Step-by-step explanation: