Answers
Answer:
x = 17.9
Step-by-step explanation:
[tex]tan40^{0} =\frac{15}{x}[/tex]
[tex]x=\frac{15}{tan40^{0} } =17.88[/tex]
rounded: 17.9
Hope this helps
Related Questions
Can somoene help me with this question please
Answers
Answer:
About 260 seconds
Step-by-step explanation:
Tha rate is:
A: 8L/1.66666m
b: 10L/1m (converted to litres)
Divide 2400 by those rates above which:
2400 / (8/1.66666) = 500
2400 / (10/1) = 240
500 - 240 = 260
what is the measure of the angle shown?
Answers
Answer:
35 degrees
Step-by-step explanation:
Answer:
The measure of the angle is 35 degrees
Step-by-step explanation:
There are two measurements on the protractor.
If the angle is acute you will use the smaller measurenment of the two, and if the angle is obtuse, you will use the larger of the two.
In this case the angle is acute, so the measure is 35 degrees.
Hope that helps!
If f(x) = x + 1, and g[f(x)] = x, what is g(x)?
Answers
Answer:
x-1
Step-by-step explanation:
f(x) = x+1
g[f(x)] = x
g[x+1]=x
g(x)=x-1
Solve for x: √(32^0 + 2/3)=(0.6)^2-3x
Answers
Step-by-step explanation:
Given: √{32⁰ + (2/3)} = (0.6)²⁻³ˣ
Asked: Find the value of x = ?
Solution: Given that √{32⁰ + (2/3)} = (0.6)²⁻³ˣ
⇛√{1 + (2/3)} = (0.6)²⁻³ˣ
⇛√{(1/1) + (2/3) = (0.6)²⁻³ˣ
⇛√{(1*3 + 2*1)/3} = (0.6)²⁻³ˣ
⇛√{(3 + 2)/3} = (0.6)²⁻³ˣ
⇛√(5/3) = (0.6)²⁻³ˣ
Squaring on both sides then
⇛{√(5/3)}² = {(0.6)²⁻³ˣ}²
⇛√(5²/3²) = {0.6}(²⁻³ˣ)²
⇛√{(5*5)/(3*3)} = {0.6}(²⁻³ˣ)²
⇛5/3 = {0.6}(²⁻³ˣ)²
[[tex]\mathsf{\because}[/tex] (aᵐ)ⁿ = aᵐⁿ]
⇛5/3 = (0.6)²*²⁻³ˣ*²
⇛5/3 = (0.6)⁴⁻⁶ˣ
⇛5/3 = (6/10)⁴⁻⁶ˣ
⇛5/3 = {(6÷2)/(10÷2)})⁴⁻⁶ˣ
⇛5/3 = (3/5)⁴⁻⁶ˣ
⇛(3/5))⁻¹ = (3/5)⁴⁻⁶ˣ
[[tex]\mathsf{\because}[/tex] a⁻ⁿ = 1/aⁿ]
Base are the same, so the exponents must be equal.
[tex]\mathsf{\therefore}[/tex] -1 = 4 - 6x
Shift the number 4 from RHS to LHS, changing it's sign.
⇛-1 - 4 = -6x
⇛-5 = -6x
⇛x = {(-5)/(-6)}
[tex]\mathsf{\therefore}[/tex] x = 5/6
Answer: Hence, the value of x for the given problem is 5/6.
also read similar questions: (1/3)^-2 + (1/4)^-2 = (125)^x Find the value of x? https://brainly.com/question/25746379?referrer
(3^-2 × 4^-2)^-3 = 12^x In the given expression find the value of x. https://brainly.com/question/25746273?referrer
And the cross-section perpendicular to the yaxis is a square. Set up a definite integral expressing the volume of the solid
Answers
The volume of the cross-section perpendicular to the solid is the amount of space in the cross-section
How to set up the integral?The question is incomplete;
So, I will give a general explanation on how to set up a definite integral for volume of a solid
Assume the solid is a cone;
Using the disk method, the integral of the volume is:
[tex]V = \int\limits^a_b {\pi r(x)^2} \, dx[/tex]
Using the washer method, the integral of the volume is:
[tex]V = \int\limits^a_b {\pi [R(x)^2 -r(x)^2 ]} \, dx[/tex]
Read more about volume integrals at:
https://brainly.com/question/18371476
A tank in the shape of a hemisphere has a radius of 7 feet. if the liquid that fills the tank has a density of 93 pounds per cubic foot, what is the total weight of the liquid in the tank, to the nearest full pound?
Answers
The total weight of the liquid that filled the hemispheric tank to the nearest full pounds is 66775 pounds.
What is the volume of an hemisphere?An hemisphere is half of a sphere. Therefore,
volume = 2 / 3 πr³
where,
r = radiusTherefore,
r = 7 feet
volume = 2 / 3 × 3.14 × 7³
volume = 2 / 3 × 3.14 × 343
volume = 2154.04 / 3
volume = 718.013333333
volume = 718.013
Therefore,
density = mass / volume
93 = mass / 718.013
mass = 718.013 × 93
mass = 66775.24
mass ≈ 66775 pounds
learn more on hemisphere here: https://brainly.com/question/14527816
3. A hot air balloon travels 18 miles in 3 hours. At this rate, how many miles will the
3
hot air balloon travel in 2 hour?
4
A. 4.5 miles
B. 6 miles
C. 11.5 miles
D. 13.5 m
Answers
Answer:
B: 6 miles
Step-by-step explanation:
You divide 18 by 3 and get 6.
Given that
3x : 10 = 5: 2
Calculate the value of x.
Give your answer in its simplest form.
X =
Answers
Answer:
25/3
Step-by-step explanation:
3x:10=5:2
proportions are basically ratios, and ratios are basically fractions, so we can cross multiply
3x*2=10*5
6x=50
x=50/6
x=25/3
Step-by-step explanation:
please mark me as brainlest
7 j + 3 - 4 j + 9 terms and like terms
Answers
Hiya! :D
My name is Violet, and I will be helping you on your question!
[tex]\sf{7j \: + 3 \: - 4j \: + \: 9}[/tex]
[tex]\sf{Group \: like \: terms:}[/tex]
[tex]\sf{= 7j \: - 4j \: + \: 3 \: + \: 9}[/tex]
[tex]\sf{Add \: the \: numbers:}~ 3 \: + \: 9 \: = 12}[/tex]
[tex]\sf{= 7j \: - \: 4j \: + \: 12}[/tex]
[tex]\sf{Add \: similar \: elements:}~ 7j \: - 4j \: = \: 3j}[/tex]
[tex]\sf{= 3j \: + \: 12}[/tex]
Hope It Helps ! ^-^
#LearnWithBrainly
[tex]\underline{Answer :}[/tex]
[tex]\huge \pmb {\frak{Violet}}[/tex]
3. What is the measure of the angle?
20 degrees
70 degrees
160 degrees
250 degrees
Answers
Answer:
160 degrees
Step-by-step explanation:
We can split up the angle into two sections:
One section is the right side which is a right angle so it is 90 degrees. The left side is already given (70 degrees).
So we just add them two together
70+90=160
The height, h, in feet of a piece of cloth tied to a waterwheel in relation to sea level as a function of time, t, in seconds can be modeled by the equation h = 8 cosine (startfraction pi over 10 endfraction t). what is the period of the function? startfraction pi over 20 endfraction seconds startfraction pi over 10 endfraction seconds 8 seconds 20 seconds
Answers
Answer:
20 seconds
Step-by-step explanation:
I assume you mean [tex]h(t)=8\cos(\frac{\pi}{10}t)[/tex] for your function.
As the given function is in the form of [tex]f(t)=a\cos(bt+c)+d[/tex] (some textbooks may write this formula differently), the period is equal to [tex]\frac{2\pi}{|b|}[/tex]. Hence, the period of the given function is [tex]\frac{2\pi}{|\frac{\pi}{10}|}=\frac{2\pi}{1}*\frac{10}{\pi}=\frac{20\pi}{\pi}=20[/tex], or 20 seconds.
The period of the function that relates the sea level as the function of time is given by: Option D: 20 seconds.
What are some properties of a cosine function?Suppose that we've got: [tex]f(x) = a\cos\left(\dfrac{2\pi x}{b}\right)[/tex]
Then, this function has:
Amplitude (the maximum distance of the graph from the middle line) = aPeriod = bFor this case, we're given that:
[tex]h = 8\cos\left(\dfrac{\pi x}{10}\right)[/tex]
We can rewrite it as:
[tex]h = 8\cos\left(\dfrac{2\pi x}{20}\right)[/tex]
Thus, we get a = amplitude = 8 units(distance), and b = period = 20 units(time in seconds).
Thus, the period of the function that relates the sea level as the function of time is given by: Option D: 20 seconds.
Learn more about amplitude and period of a cosine function here:
https://brainly.com/question/4104379
Which quadratic function in vertex form can be represented by the graph that has a vertex at negative 4. . 5. and passes through the point negative 7. . 11. ?
Answers
Answer:
the annswer is 4155 because its in formal information
Step-by-step explanation:
the annswer is 4155 because its in formal information
What is the distance between the points (10,6) and (1,4)? If necessary, round
your answer to two decimal places.
A. 9.22 units
B. 7.81 units
C. 61 units
D. 85 units
Answers
Distance:-
[tex]\\ \rm\Rrightarrow \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]
[tex]\\ \rm\Rrightarrow \sqrt{(10-1)^2+(6-4)^2}[/tex]
[tex]\\ \rm\Rrightarrow \sqrt{9^2+2^2}[/tex]
[tex]\\ \rm\Rrightarrow \sqrt{81+4}[/tex]
[tex]\\ \rm\Rrightarrow \sqrt{85}[/tex]
[tex]\\ \rm\Rrightarrow 9.22units[/tex]
If 85 third graders went to a field trip and 35 fourth graders went on a field trip how many kids went on a field trip.
Answers
85 + 35 = 120
Your class of 96 students is going on a field trip to the aquarium.
You filled one school bus, and the second school bus had 6 seats left
over. Write and solve an equation to determine how many students
s can fit on one school bus.
Answers
Answer:
54 in one bus
Step-by-step explanation:
96/2=48
48+6=54
Find 76% of 147 please answer
Answers
We would find 1% of 147 then times the answer by 76
Answer:
111.72
simplify multiply
⇒ 76% * 147
⇒ (76/100) * 147
⇒ 111.72
An isosceles triangle has area of 140 ft2. If the base is 18 ft, what is the length of each leg? Round your answer to the nearest tenth
Answers
Answer: 18.0 feet
Step-by-step explanation:
A random sample of 100 chemistry students were asked how many lab classes he or she was enrolled in september 2000. the results showed a mean of 1.65 lab classes with a standard deviation of 1.39. ten years later, a similar survey was conducted to determine if the distribution changed. the 2010 sample mean was 1.82 with a standard deviation of 1.51. do the data provide statistical evidence that the mean number of lab classes taken in the first survey is different from the survey taken 10 years later? perform the appropriate test using a = 0.02
Answers
Using the t-distribution, as we have the standard deviation for the samples, it is found that the data does not provide statistical evidence that there is a difference.
What are the hypotheses tested?At the null hypotheses, it is tested if there is no difference in the means, that is, the subtraction is of 0, hence:
[tex]H_0: \mu_1 - \mu_2 = 0[/tex]
At the alternative hypotheses, it is tested if there is a difference, hence:
[tex]H_1: \mu_1 - \mu_2 \neq 0[/tex]
What are the mean and the standard error of the distribution of differences?For each sample, they are given by:
[tex]\mu_1 = 1.82, s_1 = \frac{1.51}{\sqrt{100}} = 0.151[/tex]
[tex]\mu_2 = 1.65, s_2 = \frac{1.39}{\sqrt{100}} = 0.139[/tex]
Hence, for the distribution of differences, they are given by:
[tex]\overline{x} = \mu_1 - \mu_2 = 1.82 - 1.65 = 0.17[/tex]
[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{0.151^2 + 0.139^2} = 0.205[/tex]
What is the test statistic?The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
In which [tex]\mu = 0[/tex] is the value tested at the null hypothesis.
Then:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
[tex]t = \frac{0.17 - 0}{0.205}[/tex]
[tex]t = 0.83[/tex]
What is the decision?Considering that it is a two-tailed test, as we are testing if the mean is different of a value, with 100 + 100 - 2 = 198 df and a significance level of 0.02, the critical value is of [tex]|t^{\ast}| = 2.3453[/tex].
Since the absolute value of the test statistic is less than the critical value, we do not reject the null hypothesis, which means that the data does not provide statistical evidence that there is a difference.
More can be learned about the t-distribution at https://brainly.com/question/13873630
Please help i am confused
Answers
Answer: (4)
Step-by-step explanation:
The parts listed in the congruence statements don't correspond, so they aren't necessarily congruent.
Need done ASAP
If f(x)=2x+7 and g(x)=5x-3, which expression represents (f-g)(x) ?
Please show work
Answers
(
f
+
g
)
(
x
)
=
(
2
x
+
7
)
+
(
5
x
−
2
)
=
7
x
+
5
(f+g)(x)=(2x+7)+(5x−2)=7x+5
(
f
−
g
)
(
x
)
=
(
2
x
+
7
)
−
(
5
x
−
2
)
=
9
−
3
x
(f−g)(x)=(2x+7)−(5x−2)=9−3x
(
f
⋅
g
)
(
x
)
=
(
2
x
+
7
)
⋅
(
5
x
−
2
)
=
(
2
x
+
7
)
(
5
x
−
2
)
(f⋅g)(x)=(2x+7)⋅(5x−2)=(2x+7)(5x−2)
(
f
g
)
(
x
)
=
(
2
x
+
7
)
(
5
x
−
2
)
=
2
x
+
7
5
x
−
2
(
g
f
)(x)=
(5x−2)
(2x+7)
=
5x−2
2x+
Answer
5
(f+g)(x)=7x+5
(
f
−
g
)
(
x
)
=
9
−
3
x
(f−g)(x)=9−3x
(
f
⋅
g
)
(
x
)
=
(
2
x
+
7
)
(
5
x
−
2
)
(f⋅g)(x)=(2x+7)(5x−2)
(
f
g
)
(
x
)
=
2
x
+
7
5
x
−
2
(
g
f
)(x)=
What is the value of 5 + 3x when x = 4?
Answers
Answer:
5 + 3(4)
5+ 12
17
Step-by-step explanation:
brainlyist plssssssssss
Answer:
17
Step-by-step explanation:
5 + (3 x 4)
5 + (12)
17
You're multiplying 3 by 4 because x = 4. When a variable is on top of a number, you will multiply it. Almost like saying 3(4).
I hope this helped!
Help on this pleasse.
Answers
Answer: 40 degrees
Step-by-step explanation:
how to find the hcf and the lcm of numbers using prime factorization.
lcm
30 and 12.
hcm
12 and 20
Answers
Answer:
Below in bold.
Step-by-step explanation:
30 = 2 * 3 * 5
12 = 2 * 2 * 3
Note that 2 and 3 are common to both factors
so the HCF = 2*3 = 6.
Only one 2 and one 3 of the duplicates are included in the LCM:
so the LCM = 2 * 3 * 2 * 5 = 60
20 = 2 * 2 * 5
12 = 2 * 2 * 3
HCF = 2 *2 = 4
LCM = 2*2*3*5 = 60.
7/16 = ___% ai need it step by step
Answers
Answer:
43.75%
Step-by-step explanation:
Step 1: Divide 7 by 16 to get the number as a decimal. 7 / 16 = 0.44
Step 2: Multiply 0.44 by 100. 0.44 times 100 = 43.75. That's all there is to it!
Damian needs to buy 5 pints of juice but the store doesn't sell juice in pints, so damian buys 3 quarts of juice. does damian buy enough juice if not how much more does he have left or need to have enough?
Answers
Answer:
Damain has bought enough juice.
Step-by-step explanation:
1 qt(quart) = 2 pints.
3 qt = 6 pints.
6 pints > 5 pints (6 pints is bigger than 5 pints)
Therefore, Damain has bought enough juice.
Please mark as brainliest!
On a football field, the left and right tackles are lined up on the same yard line. A linebacker is 15 yards away from that yard line. The angles of the lines of sight of the tackles to the linebacker that are made with the yard line are shown in the diagram. Approximately how far apart are the left and right tackles?
Answers
Answer:
D. 39.3 yd
Step-by-step explanation:
Left tackle:
tan 35° = 15/x
x = 15/tan 35°
x = 21.42
Right tackle:
tan 40° = 15/x
x = 15/tan 40°
x = 17.88
x + y = 39.3
Answer: D. 39.3 yd
The area of a rectangle is 45 m squared, and the length is 6 m less than three times the width. Find the dimensions of the rectangle.
Answers
Answer:
Step-by-step explanation:
Can someone please help me with this? It's urgent! I need to turn it in tomorrow, please
Answers
Answer:
Step-by-step explanation:
Anything going from lower left to upper right is a positive slope.
The lines are not easily seen. My best estimate is that one point is (2,5)
Use the two points you are sure of.
(0,-1) and (1,2)
Givens
x1 = 0x2 = 1y1 = - 1y2 = 2Formula
m = (y2 - y1)/(x2 - x1)
Solution
m = (2 - - 1) / (1 - 0)
m = 3/1
m = 3
3x+1=38 solve and check please
Answers
Hello!
The first step is to subtract 1 from both sides.
[tex]\bf{3x+1=38}[/tex]
[tex]\bf{3x=37}[/tex]
Now, divide both sides by 3:
[tex]\bf{\displaystyle\frac{37}{3} }[/tex]
Can this fraction be simplified? Nope.
Why? Because 37 and 3 do not have any common factors, except 1 (and what's the point of dividing by 1?)
Hence, the answer is
[tex]\huge\boxed{\text{Answer:{\boxed{\circ\star{\frac{37}{3} }}}}}[/tex]
Hope everything is clear.
Let me know if you have any questions!
#KeepOnLearning
[tex]\boxed{An~Emotional~Helper!}[/tex]
In the figure below, k || l and m || n. Find the values of y and x.
Answers
Answer:
x = 30
y = 115
Step-by-step explanation:
Suppose line m is parallel to line n:
65+y = 180 because they are supplementary angles
subtract 65 from both sides
y = 115
angle represented by y and the angle represented by 3x + 25 are alternate angles and their measure is equal, so to find the value of x we can write the following equation:
3x + 25 = 115 subtract 25 from both sides
3x = 90 divide both sides by 3
x = 30