Answer:
51.3 degrees
Step-by-step explanation:
Use Trig Ratio to solve for theta aka the angle formed between the ;adder and the ground.
So we have the hypotenuse = 24ft and the adjacent = 15ft so I am going to use the cos ratio.
cos ∅ = a/h
rearrange for theta
∅ = cos -1 ( a/h)
now sub in the information
∅ = 51.3178
now round to the nearest tenth
∅ = 51.3 degrees
write your therefore statement
therefore, the angle between the ladder and the ground is 51.3 degrees.
Colin invests £1100 into his bank account. He receives 5% per year simple interest. How much will Colin have after 6 years? Give your answer to the nearest penny where appropriate.
Answer:
Step-by-step explanation:
P = £1100
r = 5%
t = 6 years
I =P*r*t
[tex]I =1100*\frac{5}{100}*6\\\\I=11*5*6\\\\I = 330[/tex]
Amount = P + I = 1100 + 330 = £1430
Margie, Eric, and Connor helped their band stuff envelopes for a fundraiser. Margie has stuffed 96 out of 144 envelopes. Eric has stuffed 62% of his envelopes. Connor has stuffed ¾ of his envelopes. If each student started with the same amount, who has the most envelopes left to stuff?
A. Margie
B. Eric
C. Connor
What is the value of b on the number line below? A number line from 0 to 1 showing fourths. There is a dot labeled b that is halfway between one half and three fourths.
Answer:
B is 5/8
Step-by-step explanation:
Note: 4/8 = 1/2 and 6/8 = 3/4
What are the solutions of the equation 3x^2 +13x=10 ?
This pattern repeats every 4 terms. The pattern is square, hexagon, pentagon, triangle. What is the shape in the 13th term of this pattern? sorry if it looks weird i dont know why it does
Answer:
the answer is square
Given y varies inversely as x, and y = 5 when x = 9. Write the inverse function
Answer:
y = 45/x
Step-by-step explanation:
Given y varies inversely as x, then;
y = k/x
If y = 5 when x = 9
5 = k/9
k = 5*9
k = 45
Substitute into the formula above;
y = k/x
y = 45/x
Hence the required inverse function is y = 45/x
HELP ASASP ITS 6Th GRADE MATH
Answer:
We are learning this in 7th grade lol how did you get 7th grade math to 6th grade math
mDE = 128 and mBC = 63. Find mZA. (The figure is not drawn to scale.)
Answer:
The angle formed by the intersection of 2 secants could be found out as: 1/2 (Arc DE - arc BC)
mDE = 128
mBC = 63
=> 1/2 (128 - 63)
=> 32.5 = mZA
Hope this helps!
Which fraction is equivalent to -(7/8)
1. -7/8
2. -7/-8
3. -(-7/8)
4. -(7/-8)
Answer:
A. The others are equivalent to 7/8
Eddie built the ramp shown to train his puppy to do tricks. What is the surface area of the ramp. The dimensions are 20,20,20,23,25,25,15
Answer:
3775 in²
Step-by-step explanation:
The surface area of the ramp :
Area of rectangle = 20 * 23 = 460 in²
Area of rectangle = 20 * 23 = 460 in²
Area of rectangle = 25 * 23 = 575 in²
Bottom rectangle = 60 * 23 = 1380 in²
For the trapezium: (front and rear)
1/2 (base 1 + base 2) * height
Base total = 20+ 20+ 20= 60
1/2(60)*15 = 450 in²
Total surface Area :
(460 + 460 + 575 + 1380 + 450 + 450) in² = 3775 in²
Find the distance between the points (1,8) and (9, 2).
Write your answer as a whole number or a fully simplified radical expression. Do not round.
units
Answer:
[tex]distance = \sqrt{(x_{1} -x_{2})^2+(y_{1} -y_{2})^2 }\\\\[/tex]
[tex]=\sqrt{(9-1)^2+(2-8)^2 }\\\\=\sqrt{8^2 + 6^2}\\\\=\sqrt{64 +36 }\\\\=\sqrt{100} = 10units[/tex]
Anyone know this?? I’m confused..
Answer:
jgh
side side side axioms
not sure
Answer:
[tex]\triangle CAB\cong \triangle ONP[/tex]
Step-by-step explanation:
Triangles [tex]\triangle CAB[/tex] and [tex]\triangle ONP[/tex] share two corresponding angles and the inclusive side between them. This is known as ASA (angle-side-angle) and does prove congruence. Therefore, [tex]\triangle CAB\cong \triangle ONP[/tex].
The four proofs of congruence include SSS (side-side-side), SAS(side-angle-side), ASA (angle-side-angle) and AAS (angle-angle-side). No other pair of triangles demonstrate any of these.
Given that A = (9,9,2), B = (1,3,5) and C = (5,6,4), find the vector equation of the line through A and B
Answer:
Equation = 9i + 9j + 2k - λ ( 8i + 6j - 3k)
Step-by-step explanation:
Vector equation of a line passing through two points A & B is : r = a + λ(b - a)
Given A = (9,9,2) ; B = (1,3,5)
Equation of line : r = 9i + 9j + 2k + λ [ (1-9) i + (3-9) j + (5-2) k ]
= 9i + 9j + 2k + λ ( -8i + -6j + 3k)
= 9i + 9j + 2k - λ ( 8i + 6j - 3k)
The school library has 300 books on the topic of
sports. Students have checked out seventy-four
of those books. How many books on the topic
of sports still remain in the library?
Step-by-step explanation:
226 sports book have a good day
Miss David's birthday is in April, and she is going to have a party. She is looking to buy a bag of decorations. Each bag has two different types of decorations: balloons and streamers. The first bag has 11 balloons and 6 streamers. The second bag has 15 balloons and 4 streamers. The last bag has 6 balloons and 12 streamers. Bag 1 costs $91, bag 2 costs $99, and bag 3 costs $102. How much does each type of decoration cost?
Answer:
b = $5
s = $6
Step-by-step explanation:
this can be solved using simultaneous equation
s = streamers
b = balloons
either of the 3 equations can be used to determine the price of the items
11b + 6s = 91 equation 1
15b + 4s = 99 equation 2
multiply equation 1 by 4 and equation 2 by 6
44b + 24s = 364 eqn 3
90b + 24s = 594 eqn 4
subtract equation 3 from 4
230 = 46b
b = 5
substitute for b in eqn 1
55 + 6s = 91
s = 6
The table shows the relationship between the number of cups and total volume of lemonade served.
Cups of Total. Volume Lemonade Served
2 (ounces)
3 16
4 24
32
How many ounces is served per cup of lemonade?
Enter the answer in the box.
ounces per cup=
Answer: 8
Step-by-step explanation:
2 cups = 16
Half of the 16 is 8
_5) How does the “x + 1" affect the graph in the equation: y = } • (4)*+1 – 37
A) Left 1
B) Right 1
C) Up 1
D) Down 1
Answer:
immma send you the link friend me on here Step-by-step explanation:
Someone help me out with this
Answer:
4x = 20
x = 5
Step-by-step explanation:
Have a nice day!
The slope of the line below is -3. Which of the following is the point-slope
form of the line?
10
- 10
10
(2.-6)
- 10
Rewrite the following polynomial in standard form
-x2 + 1 + 2x
Answer:
Simplify terms.
Tap for more steps...
2 x ^3 − 9 x^ 2 + 7 x + 6
Step-by-step explanation:
find the area of a trapezoid
Answer:
the right answer is
270 squared unit
Find the dividend if quotient is x–3, remainder is 7x–9 and divisor is x^2-2
Answer:
[tex]\implies Dividend = x^3-3x^2+4x-3[/tex]
Step-by-step explanation:
Given :-
Quotient is x–3, remainder is 7x–9 and divisor is x^2-2 .And we need to find out the Dividend. We know that ,
[tex]\implies Dividend = Quotient\times Divisor + Remainder [/tex]
Substituting the respective values :-
[tex]\implies Dividend = (x-3)(x^2-2)+7x-9 \\\\\implies Dividend = x^3-2x-3x^2+6+7x-9 \\\\\implies Dividend = x^3-3x^2+4x-3[/tex]
Can someone help me with this?
Answer:
Option 4
Step-by-step explanation:
The circle is filled so it must be either :less then or equal to: or :greater then or equal to: and since it is going to the left that means it is on the less then or equal to.
Answer:
option 4
Step-by-step explanation:
the circle is filled so it can be equal
it shows n is everything lower then -1 so
n<=-1
Which statement is true about this data set?
{70, 67, 66, 65, 66, 78, 68, 71, 80, 78, 72}
80 is an outlier because it is greater than the upper fence.
This data set has no outliers.
65 and 80 are both outliers because 65 is less than the lower fence and 80 is greater than the upper fence.
65 is an outlier because it is less than the lower fence.
PLS HELP I WILL GIVE Brainliest
Answer:
Option 3 - This data set has no outliers.
Step-by-step explanation:
Given : The data {70, 67, 66, 65, 66, 78, 68, 71, 80, 78, 72}
To find : Which statement is true about this data set?
Solution :
The statements is all about outlier.
So, we find the outlier of the data.
Step 1- Arranging the data from lowest to highest,
{65,66,66,67,68,70,71,72,78,78,80}
Step 2 - Find the median of the data
As the data is odd numbers so the median is th term.
term.
6th term is 70 ⇒ Median =70
Step 3 - To find Upper quartile and lower quartile
Lower quartile data set is the median of the upper terms from median
{65,66,66,67,68}
Median of the set is 66
∴
Upper quartile data set is the median of the lower terms from median
{71,72,78,78,80}
Median of the set is 78
∴
Step 4 - To find the interquartile range.
Step 5 - To find the fences for the data set.
The formula to find range is
Substitute the values, we get
The range in which data lies is [48,96]
We have seen that all the data lie inside the range.
Therefore, This data set has no outliers.
Hence, Option 3 is correct.
pls give me brainlist
ASAP
-will mark brianist
Answer:
20-12
35-21
40-24
Step-by-step explanation:
You times both numbers by the same value
Answer:
1st is 12
2nd is 35
3rd is 40
Step-by-step explanation:
A 2.20 x 10-6 F capacitor is hooked
up to a 14.0 V power supply. How
much energy is stored in the
capacitor?
Answer:
[tex]E=2.15\times 10^{-4}\ J[/tex]
Step-by-step explanation:
Given that,
The capacitance of the capacitor, [tex]C=2.2\times 10^{-6}\ F[/tex]
Voltage of the power supply, V = 14 V
We need to find the energy stored in the capacitor.
The formula for the stored energy in the capacitor is given by :
[tex]E=\dfrac{1}{2}CV^2[/tex]
Put all the values,
[tex]E=\dfrac{1}{2}\times 2.2\times 10^{-6}\times 14^2\\\\E=2.15\times 10^{-4}\ J[/tex]
So, [tex]2.15\times 10^{-4}\ J[/tex] of energy is stored in the capacitor.
A can of tomato sauce has a volume of 903 cm3 and a height of 11.5 cm. What is the diameter of the can? Group of answer choices 7 cm 5 cm 2.5 cm 10 cm
Answer:
10 cm
Step-by-step explanation:
the can is shaped like a cylinder
first step is to find the radius and then multiply the figure by 2
volume of a cylinder = nr^2h
n = 22/7
r = radius
903 = 11.5 x r^2 x 3.14
r^2 = 903 / (3.14 x 11.5)
r = 5 cm
diameter = 10cm
John wrote the equation tim.0 to represent there in decrees er a substance had been tested for minutes Describes be temperature of the substance and the been heated A The temperature initially de trees Cels B. The temperature increased by dores every 0. Based on John's equation, how many minutes does the substances to be heated to reach a temperature of 100 decrees Celtus?
Answer:
ur english is so bad i can barely discern what ur trying to say and the correct answer is 5
Step-by-step explanation:
4. Solve the following inequality for b, showing all of your work carefully and completely
4b - 12 - 55 < 9b +8
Answer:
b > -15
Step-by-step explanation:
4b - 12 - 55 < 9b + 8
Combine terms.
4b - 67 < 9b + 8
Subtract 9b from both sides.
-5b - 67 < 8
Add 67 to both sides.
-5b < 75
Divide both sides by -5. When dividing by a negative, flip the sign.
b > -15.
PLS HELP NO FAST LINKS!!!