Answers
Answer:
[tex] \displaystyle AC = 2.18[/tex]
Step-by-step explanation:
we are given a right angle triangle where:
BC=6AC=?θ=70°since BC is the opposite side and AC is is the adjacent side of the triangle therefore we can consider using tan function given by
[tex] \displaystyle \tan( \theta) = \frac{opp}{adj} [/tex]
substitute:
[tex] \displaystyle \tan( {70}^{ \circ} ) = \frac{6}{AC} [/tex]
cross multiplication:
[tex] \displaystyle AC \tan( {70}^{ \circ} ) = 6[/tex]
b
divide both sides by tan(70°):
[tex] \displaystyle AC = \frac{6}{ \tan( {70}^{ \circ} ) }[/tex]
by using calculator we obtain:
[tex] \displaystyle AC = 2.18[/tex]
and we are done!
Related Questions
solve the equation
f(n)=10⋅2n for n = 5
Answers
Answer:
f(5) = 100
Step-by-step explanation:
f(n) = 10•2n for n = 5
for n = 5 means we will plug in 5 for every instance of n.
f(5) = 10•2(5)
Multiply.
f(5) = 10•10
Multiply.
f(5) = 100
Hope this helps!
PLEASE HELP WILL CROWNNNNNN!!!!!
Answers
Answer:
12
7
2
- 3
- 8
Step-by-step explanation:
f ( - 2 )
= 2 - 5 ( - 2 )
= 2 - ( - 10 )
= 2 + 10
= 12
f ( - 1 )
= 2 - 5 ( - 1 )
= 2 - ( - 5 )
= 2 + 5
= 7
f ( 0 )
= 2 - 5 ( 0 )
= 2
f ( 1 )
= 2 - 5 ( 1 )
= 2 - 5
= - 5 + 2
= - 3
f ( 2 )
= 2 - 5 ( 2 )
= 2 - 10
= - 10 + 2
= - 8
4. Tyquan had his car towed by Lakeview's Towing Service. It cost him $3.00 per mile to have it towed
plus a flat fee of $70.00. The function for his cost is represented by the function C(m) = 3m + 70. What
does C(22) represent in this situation?
a. Tyquan had hisbear towed for 136 mile and it cost $22.00
b. Tyquan had his car towed for 22 miles and it cost him $136.00
c. Tyquan had his car towed for 3 miles at $70.00
d. Tyquan had his car towed 22 miles for $70.00
Answers
Answer:
B is the answer trust me I already took the math.
Step-by-step explanation:
Answer
2. 3/4 of Alice's salary is the same as 1/2 of Betty's salary. If Alice
earns $200 less than Betty, how much does Betty earn?
Answers
Answer:
Betty = $600
Step-by-step explanation:
3/4 of Alice's salary is the same as 1/2 of Betty's salary
(3/4)a = (1/2)b
multiply both sides by 2
(3/2)a = b
Alice earns $200 less than Betty
b - a = 200
Substitute for b
(3/2)a - a = 200
(1/2)a = 200
multiply both sides by 2
a = 400
b = (3/2)400
b = 600
Here is a system of equations. Is (1,3) a solution to this system of equations? Explain how determined your answer. Show your work!
4x + 5y = 19
x + 5y = 16
Answers
Hope this help…
if Lisa is 12 years old now how old was she at the age at 1/4 of her current age
Answers
Answer:
3
Step-by-step explanation:
12/4=3
PLS HELP IF U WOULDNT MIND
Answers
Answer:
64 cm³
Step-by-step explanation:
The figure can be decomposed to two rectangular prism, one smaller person on top and one bigger prism beneath.
Volume = volume of smaller rectangular prism + volume of bigger rectangular prism
✔️Volume of smaller rectangular prism = L*W*H
L = 2 cm
W = 2 cm
H = 8 - 4 = 4 cm
V = 2*2*4
V = 16 cm³
✔️Volume of bigger rectangular prism = L*W*H
L = 6 cm
W = 2 cm
H = 4 cm
V = 6*2*4
V = 48 cm³
✔️Volume of the figure = 16 + 48 = 64 cm³
Help pleaseeeee thanks
Answers
Answer:
We know that 3 l 3 = 3.3, so the values of the stem and leaf plot would be;
4 l 8, 9
5 l 1, 6, 8, 8, 9
6 l 8, 9, 9, 9, 9
7 l 0, 2, 2, 2, 5, 5
8 l 0, 9
Hope this helps!
I need help fast plz
You don’t need to show work
Answers
Step-by-step explanation:
uy6rhjf08yssyoludysyosyiwyeiwyowyiyiwywoyiw
help i need the value of X
Answers
Answer:
x = 20
Step-by-step explanation:
The square signifies the angle is 90 degrees.
All triangle interior angles add up to 180 so:
2x + 10 + 40 + 90 = 180
2x + 140 = 180
2x = 180 - 140
2x = 40
x = 20
Answer:
20
Step-by-step explanation:
2x + 10 + 40 + 90 = 180
2x + 140 = 180
180 - 140 = 40
40 / 2
20
x = 20
W
Simplify the expression to
V3
6/3
divided by
2/3
Answers
What is the effect on the graph of f(x) = 1 when it is transformed to
g(x) = 1 – 162
O A. The graph of f(x) is shifted 16 units up.
O B. The graph of f(x) is shifted 16 units to the left.
O C. The graph of f(x) is shifted 16 units down.
O D. The graph of f(x) is shifted 16 units to the right.
Answers
Answer: C) Shifted 16 units down
The minus 16 at the end is directly the reason why. Think of y = 1/x, and subtracting 16 from both sides to get y-16 = (1/x) - 16. The y-16 will shift every point down 16 units. For instance, the point (1, 1) moves to (1, -15).
Mr. Poplin asked his students to write the following expression: "Two to the fifth power plus seven squared" Which answer choice shows this expression? A 52 - 27 B (2-5) + (7.2) © 25-74 D 2572
Answers
Answer:
B
Step-by-step explanation:
they rest The two by five and separate the square
What type of triangle is this triangle?
acute isosceles
obtuse isosceles
acute scalene
right isosceles
Answers
Answer:
Obtuse isosceles
Step-by-step explanation:
Since this is an obtuse isosceles triangle, the two missing angles must be acute angles.
Answer:
obtuse isosceles
Step-by-step explanation:
im kinda bad but since the top angle is obtuse its an obtuse isosceles
The train will take one hour, then the bus will take two and a half hours. I need to allow half an hour to change between them. How long will the whole journey take?
Answers
Answer:
Step-by-step explanation:
answer: 4 hours
The Journey will take 4 hour.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
The train will take one hour.
and, bus will take two and a half hours.
Also, half an hour to change between them.
So, the total time taken is
= 1 + 2.5+ 0.5
= 4 hours
Hence, the total hour is 4 hour.
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Asap,,,,,,,,,,,,,,,,,,,,,
Answers
Answer:
3n^2 -24n+36
Step-by-step explanation:
The St. Croix junior hockey
team won 3 out of every 4
games it played.
The team played 56 games.
How many games did it lose?
Answers
Answer:
14
Step-by-step explanation:
56 divided by 4 is 14
A two-sample t-test for a difference in means will be conducted to investigate whether the average amount of money spent per customer at Department Store M is different from that at Department Store V. From a random sample of 35 customers at Store M, the average amount spent was $300 with standard deviation $40. From a random sample of 40 customers at Store V, the average amount spent was $290 with standard deviation $35. Assuming a null hypothesis of no difference in population means, what is the test statistic for the appropriate test to investigate whether there is a difference in population means?
Answers
The test statistic is 1.145 for the appropriate test to investigate whether there is a difference in population means.
A test statistic is a numerical value calculated from sample data in hypothesis testing.
Given that
Sample 1: Store M
Sample size, [tex]n_1[/tex] = 35,
Sample mean, [tex]\bar{X_1}[/tex] = 300,
Standard deviation, [tex]s_1[/tex] = 40.
Sample 2: Store V
Sample size, [tex]n_2[/tex] = 40,
Sample mean, [tex]\bar{X_2}[/tex] = 290,
Standard deviation, [tex]s_2[/tex] = 35.
The null hypothesis, [tex]H_o[/tex] : there is no difference in population means, i.e.,
[tex]\mu_1 =\mu_2[/tex].
The alternate hypothesis, [tex]H_1[/tex] : there is a significant difference in population means, i.e.,
[tex]\mu_1 \neq\mu_2[/tex].
Under the null hypothesis, the test statistic is
[tex]t = \dfrac{\bar{X_1}-\bar{X_2}}{\sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2} }}[/tex]
[tex]= \dfrac{300-290}{\sqrt{\frac{40^2}{35}+\frac{35^2}{40} }}\\=\dfrac{10}{\sqrt{\frac{1600}{35}+\frac{1225}{40} }} \\=\dfrac{10}{\sqrt{45.714+30.625 }} \\=\dfrac{10}{\sqrt{76.339 }}\\=\dfrac{10}{8.737}\\=1.145[/tex]
Hence the test statistic is 1.145.
Learn more about test statistics here:
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5/14 x 7/30 in its simplest form
Answers
Answer:
Step-by-step explanation:
1/12
Will give brainliest
Answers
Answer:
I think the car's acceleration is 20 mph forward
Answer:
20m/s^2
Step-by-step explanation:
Acceleration is (Change in velocity÷change in time)
(20-0)÷ (1-0)
20
PLEASE HURRY
Tameron rolls a 6-sided die 3 times.
What is the probability that he rolls a 5 on every roll?
A. 1/216
B. 3/216
C. 1/64
D. 3/64
Answers
Answers:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The cost of making a shirt is half of what the shirt normally sells for. Today, however, the shirt is 15% discount feom it’s normal price. What is the current price of the shirt.
Answers
Drag each label to the correct location on the image.
Here is a multiplication sentence:
1 x (4 x 4) = 16
Drag the numbers and the parentheses to create an equivalent multiplication sentence that illustrates the associative property of
multiplication
Answers
Answer:
4 x (1 x 4) = 16
Step-by-step explanation:
1 x 4 = 4
4 x 4 = 16
The nth term of sequence is n2 + 20
Work out the first three times of sequence
How many times in the sequence are less than 50
Answers
Answer:
First three terms:
22,24,26
There are 15 terms in the sequence that are 50 or less, yet only 14 if its just less than 50.
Answers:
The first three terms are 21, 24, 29
5 terms of the sequence less than 50.
======================================================
Explanation:
Plug in n = 1 to find that n^2+20 = 1^2+20 = 1+20 = 21. The first term is 21.
Repeat for n = 2 and you should get 2^2+20 = 24 as the second term.
The third term is 29 through similar steps, but this time you use n = 3 of course.
The first three terms are 21, 24, 29
It's effectively the first three perfect squares 1, 4, 9 but we have a tens digit of 2 stuck to the left of each value.
--------------------
We want to find when n^2+20 is less than 50. We could keep plugging values of n into that expression and record if the result is less than 50 or not, then tally those occurrences. You should record 5 such occurrences.
Or we could do a bit of algebra like so
n^2+20 < 50
n^2 < 50-20
n^2 < 30
sqrt(n^2) < sqrt(30)
n < sqrt(30)
On a calculator, sqrt(30) is roughly 5.4772 which means n < 5.4772. If n is a a natural number, then the largest it can get is n = 5 to ensure n^2+20 is less than 50.
We can see that,
n^2+20 = 5^2+20 = 45 when n = 5n^2+20 = 6^2+20 = 56 when n = 6This helps show that n = 5 is the largest n to make n^2+20 < 50 a true statement. This means that there are 5 terms of the sequence less than 50.
can someone please help me on this
Answers
Regards,
Cee:)
Can someone help me step by step with this probelm please thanks a lot
Answers
2. A word that has the same value as boat.
Well, BOAT (2,6,2,8) adds up to 18. A word with the same value could be CARS (2,27,7)
3. A 4 letter word I can think of is HELP (4,3,5,7) and the value is 19
-The other part where it says “my word has a value of 20- guess the word” it could be KITE (5,4,8,3)
Peter had $4.80 to spend at the store. He spent 1/3 of the money on a model car, 1 /4 of the
money on glue, 1/8 of the money on paint. He spent the rest on a hot dog and soda. How
much money did Peter spend on the ...
model car?_________.
glue?_____________.
paint?___________ .
hot dog and soda?________.
Answers
Answer:
model car?___$1.60______.
glue?_____$1.20________.
paint?_____$0.60______ .
hot dog and soda?___$1.40_____.
Step-by-step explanation:
model car: $4.80/3 = $1.60
glue: $4.80/4 = $1.20
paint: $4.80/8 = $0.60
hot dog & soda: $4.80 - $1.60 - $1.20 - $0.60 = $1.40
f. 10 20
30 40 50
60 70
20
Answer the following questions on multiples.
a. Write down the multiples of three from 474 to 483.
b. Write down the multiples of 5 between 718 and 733.
е
are 120,725,730.
c. Which of the following numbers in
Answers
Answer:
i don't understand the question please
Which relation is also a function?
Answers
The relation represented by graph A can be stated as function.
Thus, option (A) is correct.
A) The graph have input values {-5, -4, 0, 3, 4, 7}
and, all input have distinct output values {7, 5, 0, -1, -5}.
So, the graph is function.
B) The set {(-8, 8), (-6, 5), (-6, 4), (-3, 1), (-1, 0)} is not function.
Here, the input value -6 have two distinct output 5 and 4.
C) The table is not function.
Here, the input value 15 have outputs 2 and 3.
and 20 have two distinct output as 4 and 5.
D) The graph is not function as using verticals line test the curve have two same input value with different output value.
Thus, option (A) is correct.
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What is the surface area of the pyramid?
Answers
-------------------
[tex]let ~b=8~m,h=6in[/tex]
[tex]SA=4(bh/2)+b^2[/tex]
[tex]=2(8)(6)+(8)^2[/tex]
[tex]=96+64[/tex]
[tex]=160in^2[/tex]
------------------------hope it helps...have a great day!!