Answer:
tan theta = 8/15
Step-by-step explanation:
Sin is equal to opposite over hypotenuse. So it means that the side opposite from theta is 8, and the hypotenuse is 17.
To find the value of the adjacent side from theta, use the Pythagorean Theorem.
a^2 + b^2 = c^2
8^2 + b^2 = 17^2
64 + b^2 = 289
Subtract 64.
b^2 = 225
Take the square root.
b = 15.
So that means:
the side opposite from theta is 8,
the side adjacent from theta is 15,
the hypotenuse is 17.
Now we take tan, opposite over adjacent, and use the values from the triangle.
tan = opposite / adjacent
tan = 8/15.
(4) A sign on the road says: "Speed limit, 60 mph." Let s be the speed of a car. Choose the correct inequality that matches the information on the sign. the answers are= s<60 , s=60 , s<60 , s>60
Step-by-step explanation:
Choose the correct inequality that matches the information on the sign. the answers are
s<60
Instructions: Use the ratio of a 45-45-90 triangle to solve for the variables. Leave your answers as radicals in simplest form.
Answer:n
Step-by-step explanationaa:
every 60 seconds in Africa a minute passes
Answer:
Oh it's common in all countries.
50 qt = ___gal ____qt
answers:
a. 3gal 2qt
b. 12gal 2qt
c. 12gal
d. 5gal
Answer:
12 gallons 2 quarts
Step-by-step explanation:
A dodecahedral die (one with 12 sides numbered from 1 to 12) is tossed once. Find the following probability. (Enter your probability as a fraction.)
The number on the upward face is not 4.
Answer:
11/12
Step-by-step explanation:
::::::::::::::::
The probability of the number on the upward face is not 4 would be 11/12 or 0.92 by calculating as follows:
Solution:
The possible outcomes for rolling a dodecahedral die, numbered from 1 to 12, once is given below in the term of sample space S:
S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}.
Therefore,
n(S) = 12
Event A: Sample space in the case of not having number 4 on the upward face:
A = {1, 2, 3, 5, 6, 7, 8, 9, 10, 11, 12}
therefore,
n(A) = 11
the probability of an event can be calculated by:the required probability = [tex]\dfrac{\text{Number of times event A, occurred}}{\text{Number of times this experiment performed}}[/tex]
then putting the space values here;
= [tex]\frac{n(A)}{n(S)}=\frac{11}{12}=0.92[/tex]
Thus, the required probability is 0.92
Learn more about the probability of an event:
https://brainly.com/question/24028840
At the party, Max wants each balloon to
have a string that is 100 centimeters long.
The string he wants to buy comes in rolls of
25 meters. How many rolls of string does
Max need to buy if he plans to have 50
balloons at the party?
Hellp me with this
Max needs to buy two rolls of string, hopefully this helped :)
Diameter of a circle is 5 what is the area in simplest form
Answer:
19.6 cm²
Step-by-step explanation:
The formula of the area of a circle
= πr²
The radius of the circle
= 5÷2
= 2.5 cm
The area of the circle
= π×2.5²
= 19.63495...
= 19.6 cm² (rounded to the nearest tenth)
The graph shows the amount of petrol used, in litres, against distance travelled in miles.
How many litres of petrol are used to travel 39 miles?
Answer:
Step-by-step explanation:
Each mile on the y axis is represented by the length of 1 square.Each 1/10 of a liter is represented by the width of 1 square.So you go 1 square down from 40.Travel across until you hit the red lineGo down and read the answer on the x axis.I get 2.6So to travel 39 miles, you must use 2.6 Liters of fuel.
slo
[tex] {e}^{4 - 7x} + 11 = 20[/tex]
ve
Answer:
x is about 0.26
Step-by-step explanation:
[tex]e^{4-7x}+11=20[/tex]
[tex]e^{4-7x}=9[/tex]
[tex]ln(e^{4-7x})=ln(9)[/tex]
[tex]4-7x=ln(9)[/tex]
[tex]-7x=ln(9)-4[/tex]
[tex]x=\frac{ln(9)}{-7} +\frac{4}{7}[/tex]
[tex]x=\frac{4-ln(9)}{7}[/tex]
[tex]x=0.2575393461[/tex]
A study published in Psychiatry Research states that 62% of autistic children are left-handed.[12]
A local resource for children with autism, Central Coast Autism Learning Partners, is curious to see
if their set of autistic children show a similar proportion of being left-handed. When a random
sample of 26 autistic children were observed, 17 were found to be left-handed. Is there enough
statistical evidence based on the sample to dispute the results of the study published in Psychiatry
Research? Use the P-value method and let
a=.05.
Answer:
The pvalue of the test is 0.7188 > 0.05, which means that there is not enough statistical evidence based on the sample to dispute the results of the study published in Psychiatry Research.
Step-by-step explanation:
Test if there is enough statistical evidence based on the sample to dispute the results of the study published in Psychiatry Research:
This means that at the null hypothesis we test if the proportion is 62%, that is:
[tex]H_0: p = 0.62[/tex]
At the alternate hypothesis, we test if the proportion is different from 0.62, that is:
[tex]H_a: p \neq 0.62[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample
62% is tested at the null hypothesis:
This means that [tex]\mu = 0.62, \sigma = \sqrt{0.62*0.38}[/tex]
When a random sample of 26 autistic children were observed, 17 were found to be left-handed.
This means that [tex]n = 26, X = \frac{17}{26} = 0.6538[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.6538 - 0.62}{\frac{\sqrt{0.62*0.38}}{\sqrt{26}}}[/tex]
[tex]z = 0.36[/tex]
Pvalue of test and decision:
The pvalue of the test is the probability of a proportion that differs from the mean by at least 0.6538 - 0.62 = 0.0338, which is P(|z| > 0.36), which is two multiplied by the pvalue of z = -0.36
Looking at the z-table, z = -0.36 has a pvalue of 0.3594
2*0.3594 = 0.7188
The pvalue of the test is 0.7188 > 0.05, which means that there is not enough statistical evidence based on the sample to dispute the results of the study published in Psychiatry Research.
A magazine subscription runs several promotions. Customers can choose from the following deals:
Option A: 15% off an annual subscription of $86
Option B: pay $6.50 per month
How much will a customer save by purchasing the annual subscription overpaying per month?
Show or explain your answer
Answer:
This is an exponential function:
A(s) = 2^s, where A- population of alien's, s - number of splits (or hours)For the alien population become larger than 79942, time required:
2^s > 79942log 2^s > log 79942s > log 79942/ log 2s > 1617 hours
For the alien population become larger than 330232606, time required:
2^s > 330232606log 2^s > log 330232606s > log 330232606 / log 2s > 2829 hours
What is the total area, in square centimeters, of the shaded sections of the trapezoid
below?
4.2 cm
7.2 cm
6.1 cm
8 cm
2
cm
Answer: A=
Answer:
A=34.77 cm^2
Step-by-step explanation:
¿Cuánto es el interés simple de $800.00 al 3.5 % durante un año?
Answer:
$28
Step-by-step explanation:
given that
The Principal amount is $800
The rate of interest is 3.5%
And, the time period is one year
we need to find out the simple interest
As we know that
Simple interest = Principal × rate × time period
= $800 × 3.5% × 1 year
= $28
hence, the simple interest is $28
ABCD is a square and it's side is 16 cm long. What is the area of the shaded part?
Answer:
I'm sorry I can't help because I don't know what part is shaded. Note: Since a square has the same length for each side all the sides are 16 cm.
Area and Perimeter for WHOLE square:
A: 256 sq cm
P: 64 cm
Determine the center and radius of the following circle equation: x ^ 2 + y ^ 2 - 6x + 2y - 39 = 0
what is the formula of finding square rood
Answer:
[tex] \huge\blue{ \mid{ \underline{ \overline{ \tt ♡ ANSWER ♡ }} \mid}}[/tex]
There's no specific formula to find the square root of a number, however we can find the square root of a number by the following methods:
i) By Prime Factorisation
ii) By Long Division
iii) By Repeated subtraction method
✏ By Prime Factorisation:Step I: Obtain the given number.
Step II: Reduce the given number into prime factors by successive division.
Step III: Now make pairs of prime factors in such a way that both the factors in each pair are equal.
Step IV: Take one factor from each pair and find the product of these factors.
Step V: The product obtained by multiplying the factors is the required square root.
✏ Long Division:Step 1: Firstly, we place a bar on every pair of digits starting from the unit digit. If the number of digits in it is odd, we put a bar on the single-digit too.
Step 2: Now we find the largest number whose square is less than or equal to the 1st number.
Step 3: Now we bring down the next bar number.
Step 4: For new divisor, we add the divisor & quotient.
Step 5: Number taken is the product of a new divisor and this digit is equal to or less than the new dividend.
✏ Repeated subtraction method:In this method, the given number is subtracted by 1, 3, 5, 7,… at every step till you get zero at the end. The number of steps in the solution is the required square root.
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
Please help fast please
Answer:
232 sq. m
Step-by-step explanation:
Help. What’s the answer to this problem?
Answer:
C) Yes, it’s a reflection over line f.
Step-by-step explanation:
It’s a reflection over line f.
Emily is having a bad cold. She uses up of a box of tissues every day. How many boxes of tissues does she need to buy if she expects the cold to last for? days? How many boxes does she need to buy so she doesn't run out of tissues?
Answer:
Step-by-step explanation:
1 per day Taylor , but the question doesn't say how many days... :/
2. 6t - 12=48 3. 85*4=100
Answer:
2 ) 6t=48+12
t=60/6
t=10
Someone pls help me I’m stuck
Answer:
center= (0, -9)
r=1
Step-by-step explanation:
formula for circle= (x-h)^2+(y-k)^2= r^2
(h, k)= center
r= radius
We know that h is 0 since (x-h)^2 is x^2.
We know k= -9 from (y+9)^2
since r^2=1
r=1
Draw a line representing the "rise" and a line representing the "run" of the line. State
the slope of the line in simplest form.
Click twice to plot each segment.
Click a segment to delete it.
I can't plot it for you, but the slope will be the y/x or the rise/run.
You can find the slope by using 2 points of the line and subtracting the (y1-y2)/(x2-x1)
the sum of 2 numbers is 56.twice the smaller number exceeds one-half the larger number by 22.find the numbers
9514 1404 393Answer:
20, 36
Step-by-step explanation:
Let x and y represent the smaller and larger numbers, respectively. The given relations let us write two equations:
x + y = 56 . . . . . . the sum of the two numbers is 56
2x -y/2 = 22 . . . . twice the smaller exceeds half the larger by 22
We can solve this by multiplying the second equation by 2 and adding the first.
2(2x -y/2) +(x +y) = 2(22) +56
5x = 100 . . . . . . simplify
x = 20
y = 56 -20 = 36
The two numbers are 20 and 36.
How old is the youngest employee
Answer:
10
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
It doesn't show the exact ages. The answer would be "10-19", but there is no choice for that. Therefore, the answer cannot be determined because we don't have the exact age.
:D
If anyone can help me I’d appreciate it, geometry is messing me up a bit
Answer:
A) It is right
Step-by-step explanation:
∠A=∠C, because a 180° line (straight line) meats at a certain point reaching the edge, which then means that the angles of 'A' and 'C' have to be the same.
So ∠A= 45°, and ∠C= 45°.
45+45= 90
A triangle's angles add to 180°.
180-90=90
∴∠B=90°, making it a right-angled triangle.
What is the median of 1, 3, 6, 8, 9, 9
Answer choices: A. 6
B. 7
C. 8
D. 9
Answer:
B
Step-by-step explanation:
The median is the middle value of the data arranged in ascending order. If there is no exact middle value then it is the average of the values either side of the middle.
1, 3, 6, 8, 9, 9
↑ middle
median = [tex]\frac{6+8}{2}[/tex] = [tex]\frac{14}{2}[/tex] = 7 → B
Answer:
B. 7
Step-by-step explanation:
(6 + 8) ÷ 2 = 7
I hope this is right if its not im sorry
Find the area of each figure. Use 3.14 for pi
Solve for g. Show your work!
g + 7 - 4 = 15
Answer:
g = 12
Step-by-step explanation:
First, simplify by subtracting 4 from 7:
g + 7 - 4 = 15
g + 3 = 15
Solve for g by subtracting 3 from both sides:
g = 12
So, the answer is g = 12
Simplify by subtracting 4 from 7:
g + 7 - 4 = 15
g + 3 = 15
Solve for g by subtracting 3 from both sides:
g = 12
answer is g = 12
pls help asap, ill give brainiest
The answer is D
If this helped a brainliest would be appreciated!