3sinA=4cosA so find tansquareA_sinsquareA
Step-by-step explanation:
Do you mean?
[tex] \frac{ { \tan(x) }^{2} }{ \ { \sin(x) }^{2} } [/tex]
If so:
[tex]3 \sin(x) = 4 \cos(x) \\ \frac{3 \sin(x) }{ \cos(x) } = 4 \\ \frac{ \sin(x) }{ \cos(x) } = \frac{4}{3} \\ \tan(x) = \frac{4}{3} [/tex]
Did the question specify which quadrant? I'm just going to assume that it's the first
(as tangent = opp/adj)
hence
Hypotenuse:
[tex] \sqrt{{3}^{2} + {4}^{2} } = 5[/tex]
[tex] \sin(x) = \frac{4}{5} [/tex]
Finally,
[tex] \frac{ { \tan(x) }^{2} }{ { \sin(x) }^{2} } = \frac{ { \frac{4}{3} }^{2} }{ { \frac{4}{5} }^{2} } \\ = 2 \frac{7}{9} [/tex]
HELP PLSSS 15 points
Big Mitch held 500 pounds in a weightlifting competition. To win the
competition, Big Mitch must add 50 pounds to his best lift. If the variable w
stands for the amount of additional weight Mitch can hold, which of the
following units could apply to that variable?
A. meters
B. gallons
C. pounds
D. inches
Why is 3+(-5) equal to -2
Answer:
c
Step-by-step explanation:
Here's an example: 3/5 divided by 7/8.
3/5
_____
7/8
Let's do it WRONG, to see why that's bad. Here's our example, multiplied by something that ISN'T equal to one:
3/5 1 3/5 3/5
_____ * _____ = _______ = ______ = 3/5
7/8 8/7 56/56 1
Multiplying 7/8 by 8/7 turns our denominator into 1, which seems helpful. But it leaves us with the same numerator we started with. Can this be right? Is 3/5 divided by 7/8 equal to 3/5 divided by one, so that 7/8 = 1? Oops, that has to be wrong.
For comparison, here's the RIGHT way:
3/5 8/7 24/35 24/35
_____ * _____ = _______ = _______ = 24/35
7/8 8/7 56/56 1
In this case, what we multiplied by, 8/7 divided by 8/7, is equal to one, because anything divided by itself is equal to one. But 1 over 8/7, which we used up above in the first example, is NOT equal to one, which means that if we use 1 over 8/7, we change our question. We may get an answer, but it won't be the right one.
Use the distributive property to remove the parentheses -8(3v-w-4)
Arbara signed up for dance lessons at Dance Unlimited. She was charged $55 per month for lessons and a one-time recital fee of $165. The equation represents the $495 total cost that Barbara paid to Dance Unlimited. 495 = 165 + 55m How many months, m, did Barbara receive dance lessons from Dance Unlimited?
Given:
Per month fee = $55
One-time recital fee = $165
The equation represents the $495 total cost that Barbara paid to Dance Unlimited.
[tex]495=165+55m[/tex]
To find:
We need to find the number of month Barbara receive dance lessons from Dance Unlimited.
Solution:
We have,
[tex]495=165+55m[/tex]
Here, m is number of months. We need to isolate m.
Subtract 165 from both sides.
[tex]495-165=55m[/tex]
[tex]330=55m[/tex]
Divide both sides by 55.
[tex]\dfrac{330}{55}=m[/tex]
[tex]6=m[/tex]
The value of m is 6. So, the required number of month Barbara receive dance lessons from Dance Unlimited is 6.
Are BD and CE congruent? Explain.
Answer:
The answer is D: Yes, BD = 7 and CE = 7
Step-by-step explanation:
B--> -5
D --> 2
-5 + BD = 2
BD = 7
C--> 0
E --> 7
0+CE=7
CE = 7
The answer is D
At the Sunshine Bakery, 351 loaves of seven-grain bread were baked in six hours and 15 minutes. Estimate how many loaves were baked in one hour.
60
55
65
70
Answer:
B
Step-by-step explanation:
We know that 351 loaves were baked in six hours and 15 minutes.
First, let's convert the time to minutes. 6 hours is 360 minutes, so 6 hours and 15 minutes is 360 + 15 = 375 minutes.
Therefore, we can write the following ratio:
[tex]\frac{351\text{ loaves}}{375\text{ minutes}}[/tex]
We want to estimate how many loaves were baked in one hour or 60 minutes. So, we can write the following proportion:
[tex]\frac{351\text{ loaves}}{375\text{ minutes}}=\frac{x\text{ loaves}}{60\text{ minutes}}[/tex]
Note that the loaves and time align horizontally, while the rates align vertically.
Since we're estimating, let's change 351 to 350 (I'm also going to remove the words, since they're not necessary). So:
[tex]\frac{350}{375}=\frac{x}{60}[/tex]
We can reduce the left by dividing by 25. This yields:
[tex]\frac{14}{15}=\frac{x}{60}[/tex]
Cross multiply:
[tex]15x=60(14)[/tex]
Multiply and solve for x. So:
[tex]15x=840\\\Rightarrow x=56\approx55\text{ loaves}[/tex]
Therefore, approximately 55 loaves were baked in one hour.
So, our answer is B.
And we're done!
Answer:
B) 55Step-by-step explanation:
given
351 loaves baked in 6 hrs and 15 min.
15 min x (1 hr / 60 min) = 0.25 hr
find:
Estimate how many loaves were baked in one hour.
its a ratio and proportion:
351 loaves = x loaves ( just cross multiply)
6.25 hr 1 hr.
x loaves = 351 loaves ( 1 hr.)
6.25 hr.
= 56 ------->>> say 55
3/8 of the seventh grade students were taking advanced math at the beginning of the year, but seven dropped out by the end of the year. if there were 149 students taking advanced math at the end of the year, how many total 7th grade students are there?
Answer:
416 I believe.
Step-by-step explanation:
add 7 to 149
divide 156 by 3 to get 1/8 of total.
Get 52 and then multiply by 8 to get 416
What property is 6m•1=6m
Answer:
This equation is a tautology (Something which is always true)
Step-by-step explanation:
Work out the mean of these numbers:
root 27, root 48, root 75
give your answer in the form a root 3 where a is an integer
Answer:
4[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
Simplify the radicals
[tex]\sqrt{27}[/tex] = [tex]\sqrt{9(3)}[/tex] = [tex]\sqrt{9}[/tex] × [tex]\sqrt{3}[/tex] = 3[tex]\sqrt{3}[/tex]
[tex]\sqrt{48}[/tex] = [tex]\sqrt{16(3)}[/tex] = [tex]\sqrt{16}[/tex] × [tex]\sqrt{3}[/tex] = 4[tex]\sqrt{3}[/tex]
[tex]\sqrt{75}[/tex] = [tex]\sqrt{25(3)}[/tex] = [tex]\sqrt{25}[/tex] × [tex]\sqrt{3}[/tex] = 5[tex]\sqrt{3}[/tex]
Now mean is calculated as
mean = [tex]\frac{sum}{count}[/tex] , then
mean = [tex]\frac{3\sqrt{3}+4\sqrt{3}+5\sqrt{3} }{3}[/tex] = [tex]\frac{12\sqrt{3} }{3}[/tex] = 4[tex]\sqrt{3}[/tex]
Select all the zeros of the function f(x)=(x+10)(x−5)(x+1).
– 10
– 5
– 1
0
1
5
10
Answer:
-10, -1, 5
To find the zeros of a function, you have to set each factor to zero in separate equations, and then solve for x.
x+10=0
Subtract 10 from each side
x=-10
x-5=0
Add 5 to both sides
x=5
x+1=0
Subtract 1 from both sides
x=-1
1. The county fair charges $1.25 per ticket for the rides. Jermaine bought 25 tickets for the rides and spent a total of $43.75 at the fair. Jermaine spent his money only on ride tickets and fair admission. The price of the fair admission is the same for everyone. Use y to represent the total cost and x to represent the number of ride tickets
Answer:
Y= 12.5+X
Step-by-step explanation:
Y=43.75
X=1.25x25=31.25
so 43.75 minus 31.25= 12.5
he spent 12.5 on fair addmition
I have to finish this by midnight and I forgot how to do this
The sum of two numbers is 14 and their product is 45. Represent an equation that could find the two numbers
80+1246√16
What is the answer please I only have 10 minutes left
Answer:
7556
Step-by-step explanation:
Can You Please give me a Brainlies or how ever you spell it
Answer:
5304
Step-by-step explanation:
80+1246√16
= 1326√16
= 5304.
Dereck spends $3 on breakfast and 5.50 on luch every school day.How much does he spend on breakfast and lunch in a school week (monday-friday)
Answer:
$42.50
Step-by-step explanation:
3 + 5.5 per day = 8.5
8.5 x 5 days per week = $42.50 per week (mon-fri)
Find the m∠IHQ if m∠IHG is 176° and m∠QHG is 130°
if a and b are integers,what conditions would make a×b > 0?
Answer:
a and b must be positive integers
Step-by-step explanation:
for example- a= (+1)x(+2)
= (+2)
= (+2)>0
= axb>0
Thank U
Plzzz help! I’ll give you the Brainliest.
If a sailing ship traveled 100 miles (160 kilometres) a day about how many days would it take to travel between London and New York City? Explain.
Distance: __________
Travel Time: __________
Hint: find the distance between London and New York City first.
Plz tell me the distance and travel time it took.
Thank you!
Answer: distance: 160 kilometres
travel time:100
Step-by-step explanation:
Answer:
94 days 9400 distance
Step-by-step explanation:
What is the value of the expression x2+(2+x5) when x=15.
Answer:
759,602
Step-by-step explanation:
Evaluate (x^5 + 2) + x^2 where x = 15:
(x^5 + 2) + x^2 = 15^2 + (15^5 + 2)
| 1 | 5
× | 1 | 5
| 7 | 5
1 | 5 | 0
2 | 2 | 5:
225 + 2 + 15^5
15^5 = 15×15^4 = 15 (15^2)^2:
225 + 2 + 15 (15^2)^2
| 1 | 5
× | 1 | 5
| 7 | 5
1 | 5 | 0
2 | 2 | 5:
225 + 2 + 15×225^2
| | 2 | 2 | 5
× | | 2 | 2 | 5
| 1 | 1 | 2 | 5
| 4 | 5 | 0 | 0
4 | 5 | 0 | 0 | 0
5 | 0 | 6 | 2 | 5:
225 + 2 + 15×50625
| 5 | 0 | 6 | 2 | 5
× | | | | 1 | 5
2 | 5 | 3 | 1 | 2 | 5
5 | 0 | 6 | 2 | 5 | 0
7 | 5 | 9 | 3 | 7 | 5:
225 + 2 + 759375
| | | | 1 | 1 |
| 7 | 5 | 9 | 3 | 7 | 5
| | | | 2 | 2 | 5
+ | | | | | | 2
| 7 | 5 | 9 | 6 | 0 | 2:
Answer: 759602
Answer:
759,602
Step-by-step explanation:
In this problem you would replace the x with 15 and break down the answer.
[tex]x^{2} +(2 + x^{5} )[/tex] = [tex]15^{2} + (2 + 15^{5} )[/tex]
Now that you know the equation, break it down.
15² = 225
225 + (2 + [tex]15^{5}[/tex])
After rewriting the equation, do the work inside the parenthesis.
(2 + [tex]15^{5}[/tex]) = (2 + 759,375) = 759,377
The equation will now look like this.
225 + (759,377)
Solve!
759, 602
2. JI. has coordinates J(-6, 1) and Z(-4, 3). Find the coordinates of the midpoint.
Answer:
(- 5, 2 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
Here (x₁, y₁ ) = (- 6, 1) and (x₂, y₂ ) = (- 4, 3) thus
midpoint = [tex]\frac{-6-4}{2}[/tex], [tex]\frac{1+3}{2}[/tex] ) = ( [tex]\frac{-10}{2}[/tex], [tex]\frac{4}{2}[/tex] ) = (- 5, 2 )
Please help!
Four more than twice a number is –10.
(I have 15 mins!)
Answer: -7
Step-by-step explanation:
2X + 4= -10
2X= -10 -4
2X= -14
X= -7
2x + y = 7
this is my first day in algebra and i have no clue how to solve a literal equation
Answer:
y = 7 - 2x
Step-by-step explanation:
Step 1:
2x + y = 7 Equation
Step 2:
y = 7 - 2x Subtract 2x on both sides
Answer:
y = 7 - 2x
Hope This Helps :)
how would you substitute this equation?
If y = x and y = z, then by substitution we can say x = z.
In this case, substitution gives us
-1/2 x - 2 = -3/2 x + 2
and we can solve for x :
3/2 x - 1/2 x = 2 + 2
x = 4
then solve for y :
y = -1/2 x - 2
y = -1/2 * 4 - 2
y = -2 - 2
y = -4
PLS HELPPP
Are the triangles similar? If they are, identify the similarity ratio.
Divide the corresponding sides
3/6 = 0.5
5/4 = 1.25
6/8 = 0.75
We get different results, so the sides are not in the same ratio or proportion.
The triangles are not similar.which of the following shows the correct meter reading consumed? a.2419KW b.2491KW c.2548KW d.2584KW pls answer thank you
Answer:
c.2548KW
Step-by-step explanation:
The correct reading of the meter is;
First meter,---2000
Second meter----500
Third meter ------40
Fourth meter -------8
Total 2000+500+40+8 = 2548 kilo watts.
The answer option A,B, and D are not correct because the answers have incorrect meter reading values.
which word most closely means: how many parts are out of the whole *
SHOW WORK AND I WILL GIVE BRAINIEST!!! Lisa is making some spiced tea for her mom. The recipe calls for 2.5 cups of sugar for each cup of tea. If she only uses 3/4 cups of tea, how much sugar should she use?
Answer:
She should use 1.875 cups of sugar
Step-by-step explanation:
Find the ratio by cross multiplying
Answer:
I think it is 0.3
Step-by-step explanation:
Because, 3/4 divided by 2.5= 0.3
Sara reduced the time it takes her to run a mile from 8
minutes to 6 minutes. What was Sara's percent decrease
in the time it takes her to run a mile?
A. 14%
B. 25%
C. 33%
D. 75%
Answer:
25%
Step-by-step explanation:
Put in order from least to greatest {-6, 8, 10, 15}
Answer:
-6 , 8 , 10 , 15
Negatives are less than positives so they're first