Answer:
8.5 degreesStep-by-step explanation:
The set up will give a right angles triangle;
Given
The height of the ramp (opposite) = 6 foot
distance away along the ground = 40 feet (adjacent)
Required
Angle of depression theta
Using the TOA identity;
tan theta = opposite/adjacent
tan theta = 6/40
tan theta = 0.15
theta = tan^-1{0.15}
theta =8.53 degrees
hence the angle of depression to nearest tenth of a degree is 89.5 degrees
Ok but fr help.. Assuming only the lengths of the sides of a triangle are given, how can you determine if the triangle has a right angle?
Answer:
If you take the 2 smallest sides and put it in the pythagreon theorem to get the other side length.
Step-by-step explanation:
So if you have a triangle with side lengths, 3, 4, and 5, you can use the exact equation below.
[tex] {3}^{2} + {4}^{2} = {5}^{2} [/tex]
Because this is true, then the triangle does have a right angle.
The lunch choices last Friday were mushroom or pepperoni pizza. The cafeteria made 45 mushroom pizzas and 30 pepperoni pizzas. What percentage of the pizzas were mushroom pizzas?
Answer: 60%
Step-by-step explanation:
45+30=75=100%
75/10=7.5=10%
7.5*6=45=60%
Last month we had twelve days of either corn or carrots in the cafeteria for lunch. There were six more days of corn than carrots. How many days did we have corn?
Answer:
9 days
Step-by-step explanation:
Given that:
Days whereby there was either corn or carrot = 12 days
There are 6 more days of corn than carrot.
How many days did we have corn?
Let Number of days we had carrot = x
Hence,
Number of days we had corn = x + 6
Total number of days we had either of the two = 12
Hence,
x + (x + 6) = 12
2x + 6 = 12
2x = 12 - 6
2x = 6
x = 6/2
x = 3
Number of days we had corn = x + 6 ;
Hence,
3 + 6 = 9
P(-,3) , Q(7,-3) and R (4,1) are three points. show that PQ=2QR using distance formula. (please show the steps too :)
Answer:
PQ is 10.
QR is 5.
Hence, PQ=2QR
Step-by-step explanation:
We have the three points P(-1, 3); Q(7, -3); and R(4, 1).
And we want to show that PQ=2QR.
In other words, we want to show that PQ/QR=2.
So, let's find PQ and QR. We will need to use the distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
To find PQ:
P is (-1, 3) and Q is (7, -3).
So, we will let P(-1, 3) be (x₁, y₁) and Q(7, -3) be (x₂, y₂).
Substitute the values into the distance formula. This yields:
[tex]d=\sqrt{(7-(-1))^2+(-3-3)^2[/tex]
Evaluate:
[tex]d=\sqrt{(8)^2+(-6)^2[/tex]
Evaluate:
[tex]d=\sqrt{64+36}=\sqrt{100}=10[/tex]
So, the distance of PQ is 10.
And to find QR:
Q is (7, -3) and R is (4, 1).
Again, we will let Q(7, -3) be (x₁, y₁) and R(4, 1) be (x₂, y₂).
Substitute appropriately. So:
[tex]d=\sqrt{(4-7)^2+(1-(-3))^2[/tex]
Evaluate:
[tex]d=\sqrt{(-3)^2+(4)^2[/tex]
Evaluate:
[tex]d=\sqrt{9+16}=\sqrt{25}=5[/tex]
So, the distance of QR is 5.
Therefore, it follows that:
[tex]\displaystyle PQ=2QR\Rightarrow \frac{PQ}{QR}=2\Rightarrow\frac{10}{5}\stackrel{\checmark}{=}2[/tex]
And we have shown that PQ=2QR.
Tiffany Is Filling Her Daughter's Pool With Water From A Hose. She Can Fill The Pool At A Rate Of 1/10 Gallons/Seconds. How Fast Can She Fill Up A 20 Gallon Pool
Answer:
200 seconds
Step-by-step explanation:
Given rate :
Filling rate = 1/10 gallons per second
How fast can a 20 gallon pool be filled ;
Time = size of pool / filling rate
Time = 20 gallons ÷ 1/10 gallon / second
Time = 20 * 10 / 1
Time = 200 seconds
What is the total cost of a $500 computer with a 6% tax rate?
Answer:
$530
Step-by-step explanation:
500*0.06=30
500+30=530
Therefore, the answer is $530
Given: ΔABC ~ ΔAED and AD=7.5. What is the length of DC?
I think it's 2? I'm not sure though. Sorry.
Answer:
The length of DC is 2.5.
Which is the best estimate of the distance between the point (-25, 10) and the origin?
O 8 units
w
O 15 units
O 23 units
O 27 units
The best estimate of distance between the point and the origin is 15 units. this is your answer.
The distance between the point (-25, 10) and the origin is 27units
Distance between two pointsThe formula for calculating the distance between two points is expressed as:
D = √x² + y² (since the other coordinate is an origin)
Given the coordinate points (-25, 10) and (0, 0)
Substitute
D = √(-25)² + 10²
D = √625 + 100
D = √725
D = 27unts
Hence the distance between the point (-25, 10) and the origin is 27units
Learn more on distance here: https://brainly.com/question/2854969
#SPJ2
Rewrite `-3x+2y=12` in slope intercept form and show your steps. Then identify the slope and y-intercept.
Answer:
Slope-Intercept Form: [tex]y=\frac{3}{2}x+6[/tex]
Slope: [tex]\frac{3}{2}[/tex]
Y-Intercept: [tex](0,6)[/tex]
Step-by-step explanation:
STEP 1: Add 3x to both sides of the equation.
[tex]2y=12+3x[/tex]
STEP 2: Divide each term by 2 and simplify.
[tex]y=\frac{3x}{2} +6[/tex]
STEP 3: Reorder terms.
[tex]y=\frac{3}{2}x+6[/tex]
Answer:
I agree with the person up
Find the slope of the line that passes through (3,6) and (1,3)
Answer:
-1
Step-by-step explanation:
Who ever get this correct for me THANK YOU!!!!! Make sure you put them in ALL CAPS LETTERS PLS and You'll never get points from me Frl(for real) because I'm 9th grader and idk how to do this and it confusing to me so BE SPECIFIC!!!!!!!!
Answer:
DHGB
======================
1. D
-4x + 2y = 8 ⇒ -2x + y = 4 ⇒ y = 2x + 4Parallel line has same slope of 2y = 2x - 52. H
Slope is: (2-4)/(3-(-3)) = -2/6 = -1/3Perpendicular line has negative reciprocal slope: -1/3 → 3 y = 3x - 23. G
Slope is: (2 - (-2))/(0 - (-1)) = 4/1 = 4Parallel line has same lope of 4y = 4x - 74. B
3x + y = 1 ⇒ y = -3x + 1Perpendicular line has negative reciprocal slope: -3 → 1/3y = 1/3x + 2An electrician charges $35 per hour, h, plus a $20 fee for driving to your house. Which equation represents to total cost, T, for the electrician to do a job?
Answer:
T= 20 + 35h
Step-by-step explanation:
Giving the following information:
An electrician charges $35 per hour, h, plus a $20 fee for driving to your house.
The $20 fee is a fixed cost. It will remain constant.
The $35 fee acts as a variable cost. It varies with the number of hours required to do the job.
To calculate the total cost (T), we need to use the following formula:
T= 20 + 35h
h= number of hours.
How many ways can a basketball team of 5 players be chosen from 8 players?
Answer:
don't know sorry byeeeee
The length of the day in Lagos, Nigeria (in minutes), t days since the beginning of the year can be estimated by
this formula:
L(t) = 727+22 sin
26(t - 80.75)
365
When is the longest day of the year? Give an exact answer.
days since the beginning of the year
Answer:172 days
Step-by-step explanation:
I need help on this it’s late
Answer:
6.4
Step-by-step explanation:
Which is the solution to the inequality?
25 <0-
8
15
O b<2
15
o b>216
b <3 77
o b<
06-377
Answer:
cccccccc ccccccccccccc
A group of 5 friends decide to set up a lemonade stand. They sell 48 cups of lemonade for $1.35 each. If they split the amount of money they made evenly, how much does each friend take home?
Answer:
Step-by-step explanation:
There are a couple of ways you could do this. The first and most obvious way is just to find out what the total amount is and divide by 5
48 cups * $1.35 / cup = $64.80 total
Now divide by 5
$64.80 / 5 = 12.96 for each person.
The other way to do it is just to divide 1.35 by 5 = 0.27
Now multiply by 48 to get each person's share.
0.27 * 48 = 12.96
Take your pick. The answer is the same either way.
There’s a list
5n+14-11n-2
-4(n+8)
10(n-5)
-11-10n+2n+1
Solution 1
Inspecting a 7th-degree polynomial of 'n' by taking its derivatives
From the given conditions,
2n7+n6+2n4+2n3+2n2
=(n+1)7+(n+1)5+(n+1)4+2(n+1)3+(n+1)2+2(n+1)+1.
2n7+n6+2n4+2n3+2n2
=n7+7n6+21n5+35n4+35n3+21n2+7n+1
+n5+5n4+10n3+10n2+5n+1
+n4+4n3+6n2+4n+1
+2(n3+3n2+3n+1)
+(n2+2n+1)+2(n+1)+1.
n7-6n6-22n5-39n4-49n3-42n2-26n-9=0 .....[1].
Let A(n)=n7-6n6-22n5-39n4-49n3-42n2-26n-9.
For n>2, A(n)<n7-6n6-22n5.
Since A(n)=0,
0<n7-6n6-22n5.
0<n5(n-3+√31)(n-3-√31).
Since n>2, n>3+√31, which means n≥9 .....[2].
Now, to differentiate A(n),
A'(n)=7n6-36n5-110n4-156n3-147n2-84n-26.
A''(n)=42n5-180n4-440n3-468n2-294n-84.
A'''(n)=210n4-720n3-1320n2-936n-294.
A(4)(n)=840n3-2160n2-2640n-936.
A(5)(n)
=2520n2-4320n-2640
=2520{(n-6/7)2-262/147}.
If A(5)(n)=0, n=6/7±√(262/147).
Therefore, A(5)(n)>0 for n≥3.
Although n≥9 according to [2], I try inspecting A(n) for n≥10.
When n≥10, A(4)(n) increases monotonously.
A(4)(10)=840000-216000-26400-936>0.
Therefore, A(4)(n)>0 for n≥10.
And when n≥10, A'''(n) increases monotonously.
A'''(10)=2100000-720000-132000-9360-294>0.
Therefore, A'''(n)>0 for n≥10.
And when n≥10, A''(n) increases monotonously.
A''(10)=4200000-1800000-440000-46800-2940-84>0.
Therefore, A''(n)>0 for n≥10.
And when n≥10, A'(n) increases monotonously.
A'(10)
=7000000-3600000-1100000-156000-14700-840-26>0.
Therefore, A'(n)>0 for n≥10.
And when n≥10, A(n) increases monotonously.
A(10)
=107-6000000-2200000-390000-49000-4200-260-9>0.
Therefore, A(n)>0 for n≥10 .....[3].
From [2] and [3], A(n)=0 only when 9≤n<10.
In consequence, n=9.
Answer: 5n+14-11n-2
Step-by-step explanation:
3(-9)
please explain and answer thank u
Answer:
-27
Step-by-step explanation:
ok so we have (-9) in parentheses right? And positive 3 outside of parentheses so we know 9 x 3 = 27 BUT we have a negative in front of 9 so we just put -27.
Hope this helps :D ~P.s- pls could u give brainliest to meh TYSM!
H E L P m e P L E A S EEE
i need help on both question
Answer:
13. Rotation 14. A
Step-by-step explanation:
I hope this was right
Answer:
1. rotation
2. the image and pre-image are always congruent to each other
Step-by-step explanation:
even thought the bottom figure is rotated, it does not change in size. It's literally a copy of the other, just rotated, thus, they are congruent.
How would I solve this
Solve for “x” ax+3=bx-5
Answer:
x=-8/(a-b)
Step-by-step explanation:
Bring everything with x over to one side and everything else to the other.
ax-bx=-8
Factor out x.
x(a-b)=-8
Divide both sides by a-b
x=-8/(a-b)
sorry to bother but it's mr. Mac purchase the kitchen table that was on sale for 20% off the original price of the table was 700 what would be the total amount he saved?
Step-by-step explanation:
Given parameters:
Amount of discount on goods= 20%
Original price of the good = 700
Unknown:
Total amount he saved = ?
Solution:
The total amount he saved will be the value of the discount charged on the original price.
Amount of discount = Percentage discount x original price of goods
Amount of discount = [tex]\frac{20}{100}[/tex] x 700
Amount of discount = 140
The amount saved is 140
What is the value of x in the equation −3(10x − 12) + 15x = 54?
A. 18/7
B. −6/5
C. −22/5
D. −6/25
BRAINLIEST AND 30 POINTS FOR EASY QUESTION FOR YALL BUT I NEED HELP ON!
A cylinder and a cone have the same diameter: 8 inches. The height of the cylinder is 3 inches. The height of the cone is 18 inches.
Use π = 3.14.
What is the relationship between the volume of this cylinder and this cone? Explain your answer by determining the volume of each and comparing them. Show all your work.
Also, at the bottom of you answer, plz answer this question, do you play Call of Duty Mobile? Also, if you do, send me a friend request, i am EGOD666
Look at the download below:
Answer:
150.8
Step-by-step explanation:
Round 21.068 to the nearest tenth.
Answer:
21.068 rounded to the nearest 10th is 21.1
Step-by-step explanation:
To round a number to the nearest tenth , look at the next place value to the right . If it's 4 or less, just remove all the digits to the right. If it's 5 or greater, add 1 to the digit in the tenths place, and then remove all the digits to the right.
16и +4 - би = би – 21 – би
Answer:
dufenschmertz evil incorporated...
Step-by-step explanation:
after hours ;)
oh ma goawd he on x gaems mode
Write the word sentence as an equation. Then solve.
The difference between a number c and 17 is 3.
Answer:
C=20
Step-by-step explanation:
The outside temperature decreases by 7F in 3 1 2hours. Part A How would you represent the temperature change as a unit rate? Express your answer as an integer. Part B If the temperature continues to decrease at this rate, what will be the change in temperature after 5 hours?, i got park a just need part b part a is 7°/3.5 hrs = 2°/hr
Answer:
A) 2f / hour
B) 10 f
Step-by-step explanation:
outside temperature decreases by ; 7 F in 3 1/2 hours
a ) represent temperature change as a unit rate
To do this you will need to represent the temperature change per hour
7 f / 3.5 hours
= 7 f / 3.5 = 2 therefore the temperature change as a unit rate = 2f / hour
b) Temperature change after 5 hours
Δ temperature in 5 hours = temperature change per hour * 5
= 2 F * 5 = 10 F
plsss help
will mark brainliest
Answer:
it's C had to double-check really quick sorry
Step-by-step explanation:
You randomly draw A marble from a bag, record it’s color, and then replace it. You draw a blue marble 11 out of 50 times. What is the experimental probability that the next marble will be blue?
Answer:
since you recorded the first marble then replaced it, you drew 10 blue marbles, so therefore we can predict the next marble you drew, was blue.
Step-by-step explanation: