The ladder and the outside wall form a right triangle
The distance from the base of the ladder is 7.89 feet
How to determine the distance to the base of the ladder?The given parameters are:
Length (L) = 18 feet
Angle of elevation (θ) = 64 degrees
The distance (D) from the base of the ladder is calculated using the following cosine ratio
cos(θ) = D/L
So, we have:
cos(64) = D/18
Make L the subject
D = 18 * cos(64)
Evaluate the product
D = 7.89
Hence, the distance from the base of the ladder is 7.89 feet
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Find the value of x
A. 4
B. 10
C. 17
D. 25
Answer:
X can be any of those numbers depending on which equation it is in
Step-by-step explanation:
Moderne Furniture Company had sales of $2,000,000 during its first year of operation. If the sales increased by $200,000/year thereafter, find Moderne's sales in the fifth year and its total sales over the first 5 years of operation.
help me help me help me
Answer:
For the third one,
3, 8, 15, 24, 35, 48, 63
For the fourth one,
4, 6, 10, 18, 30, 46, 66
Step-by-step explanation:
Which of the following numbers is the smallest?
1/3
3/10
2/5
3/8
Answer:
3/10
Step-by-step explanation:
Taking the decimal values (upto the thousandths place)
1/3 = 0.333/10 = 0.32/5 = 0.43/8 = 0.375Clearly,
0.3 < 0.33 < 0.375 < 0.40.3 is the smallest3/10 is the smallest3/10 is the smallest number among the given options.
Given that are numbers we need to check which is the smallest from this,
To determine which of the given numbers is the smallest, we can compare them by finding a common denominator and then comparing the numerators.
The common denominator for 1/3, 3/10, 2/5, and 3/8 is 120 (the least common multiple of 3, 10, 5, and 8).
Now, let's convert each fraction to have a denominator of 120:
1/3 = 40/120
3/10 = 36/120
2/5 = 48/120
3/8 = 45/120
Comparing the numerators, we can see that 36/120 (3/10) is the smallest.
Therefore, 3/10 is the smallest number among the given options.
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The formula for a ciprofloxacin otic drop
quantity of each ingredient required to is given in the literature as follows10:
make 1500 g of the powder. Ciprofloxacin 1 g
Calcium Carbonate Propylene Glycol 5 parts 50 mL
Magnesium Oxide Glycerin qs ad 1 part 100 mL
Sodium Bicarbonate 4 parts How many grams of ciprofloxacin Bismuth Subcarbonate 3 parts would be required to prepare 200 15-mL
Answer:
I dont know bro, I am here for the free answers.
a farmer has 47 eggs.He packs 6 eggs in each box. How many egg boxes does he need to packall the eggs?
We need to divide up 47 eggs into boxes of 6. Therefore, we are doing a division problem.
6 x 7 = 42
42 is as close as we can get to 47 without going over. So, at this point, we need 7 boxes.
BUT - There are 5 eggs left without a box. We cannot have part of a box either. Therefore, we need to add in another box.
7 + 1 = 8
He needs 8 boxes to pack all the eggs.
Hope this helps!
Answ
Step-by-step explanation:
17 boxes 47 divided by six so it is 17 boxes hope it helps:)
A rectangle has a length of 15 cm and a width of 11 cm. What is its perimeter?
54 cm
52 cm
165 cm
26 cm
Answer:
52 cm
Step-by-step explanation:
perimeter = 2(length) + 2(width) for a rectangle.
2(15)+2(11)=52 cm
Answer:
52
Step-by-step explanation:
i got 100% on the quiz i got all the answers
Help picture below problem 18
Answer:
X⁶
Step-by-step explanation:
x⁹/x³
= x⁹-³
= x⁶ is the answer
Answer:
E. [tex]x^{6}[/tex]
Step-by-step explanation:
To divide two fractions we subtract the power of second expression from the first one:
[tex]x^{(9-3)} = x^{6}[/tex]
The hands of a clock suggest an angle whose measure is continually changing. How many degrees does a minute hand move through during 4 -minute time interval?
In 4 -minute time interval a minute hand moves __ degrees.
Step-by-step explanation:
oh, come one ! you can literally see that one ...
a full rotation on a clock is a full circle and stands therefore for 360°.
for the minute hand these 360° represent 60 minutes.
4 minutes of 60 is a fraction, a ratio, and the same ratio applies then also to 360°.
4/60 = 1/15
360 × 1/15 = 24°
so, 4 minutes represent 24°.
Answer:
Wow no reasonable explanaition for why you don't know this answer but here it is.
360*
Step-by-step explanation:
1. Mark practices the piano for 2/3 of an hour, 6 times a week. How many hours does
he practice each week?
Answer:
4 hours
Step-by-step explanation:
2/3*6/1= 12/3
12/3 simplified is 4
Can someone help me?
Answer:
(i) [tex]y = 2x(x-5)[/tex]
(ii) zeros: x = 0 and x = 5
axis of symmetry: x = 2.5
(iii) vertex: (2.5, -12.5)
(iv) see attached
Step-by-step explanation:
Part (i)
Factor: [tex]y=2x^2-10x[/tex]
Factor out the common term [tex]2x[/tex]:
[tex]\implies y=2x(x-5)[/tex]
Part (ii)
Zeros occur when [tex]y=0[/tex]
[tex]\implies 2x(x-5)=0[/tex]
Therefore:
[tex]\implies 2x=0 \implies x=0[/tex]
[tex]\implies (x-5)=0 \implies x=5[/tex]
So the zeros are x = 0 and x = 5
The axis of symmetry of a parabola is x = a where a is the midpoint of the zeros.
[tex]\textsf{midpoint of zeros}=\dfrac{0+5}{2}=2.5[/tex]
Therefore, the axis of symmetry is [tex]x=2.5[/tex]
Part (iii)
The axis of symmetry is the x-coordinate of the vertex. To find the y-coordinate of the vertex, substitute this into the given equation.
[tex]\implies 2(2.5)^2-10(2.5)=-12.5[/tex]
So the vertex is (2.5, -12.5)
Part (iv)
Plot the zeros and the vertex.
As the leading coefficient is positive, the parabola will open upwards, so the vertex is the minimum point.
Draw the axis of symmetry, then sketch the parabola, ensuring each side of the axis of symmetry is symmetrical.
*see attached*
A triangle is graphed on the coordinate grid below.
What are the coordinates of the image of this triangle after a dilation, with a center of dilation at the origin and a scale factor of 2.
Explanation please!! Thank you
Answer:
The answer is D
Still stuck? Get 1-on-1 help from an expert tutor now.
Step-by-step explanation:
find the value of x?
Answer:
x = 63 units
Step-by-step explanation:
130 tan 39 = entire L side
130 tan 39 - 130 tan 18 = x = 63
convert the following units to the units in bracket 12m (to cm)
We are converting 12 meters into centimeters.
A meter is a larger unit of messurment then centimeter. In fact, a meter is made up of many centimeters
How many centimeters are in a meter?
We can look at the word composition of the word centimeter to figure this out:
centimeter
centi = 100
There are 100 centimeters in 1 meter.
In this problem, we have 12 meters. That is twelve 100 cm or:
12 × 100 = 1,200
12 meters is the same as 1,200 centimeters
1 meter = 100 centimeter
So ,
12 m = 12 × 100 = 1,200 centimeter
what is the slope of the line that passes through the points (-1,1) and (1,-15)
Answer:
[tex]\boxed{\text{The slope is -8.}}[/tex]Step-by-step explanation:
To find the slope of the line, you have to use a slope formula.
Slope formula:
[tex]\Longrightarrow:\sf{\dfrac{y_2-y_1}{x_2-x_1} }[/tex]
⇒ y2=(-15)
⇒ y1=1
⇒ x2=1
⇒ x1=(-1)
Rewrite the whole problem down.
[tex]\Longrightarrow: \sf{\dfrac{-15-1}{1-\left(-1\right)}=\dfrac{-16}{2}=\boxed{\sf{-8}}[/tex]
So, the slope is -8, which is our answer.I hope this helps you! Let me know if my answer is wrong or not.
Find the surface area of the pyramid.
Answer:
i think the answer is 87.
Step-by-step explanation:
i think its 87.
Which shows how to determine the volume of the pyramid?
10 cm
8 cm
12 cm
V-3(1268)(10)
OV-2(12)(10)
8
V-=(12(B)(10)
Answer:
V = 1/3(12×8×10)
Step-by-step explanation:
V= 1/3×base area×height
V = 960/3
V = 320cm^3
The volume of the pyramid is,
⇒ V = 320 cm³
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Height of pyramid = 10 cm
Length of pyramid = 12 cm
Width of pyramid = 8 cm
Hence, We get;
The volume of the pyramid is,
V= 1/3 × base area × height
V = 1/3 (12×8×10)
V = 960/3
V = 320 cm³
Thus, The volume of the pyramid is,
⇒ V = 320 cm³
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Solve the system using the linear combination method:
x + 5y= -3
2x + 7y=3
Answer:
3x+12y=0
Step-by-step explanation:
x+2x=3x
5y+7y=12y
-3+3=0
The body temperature of adults are normally distributed with a mean of 98.6 f and a standard deviation of 0.71f what temperature represents the 95th percentile ?
in 1977, Pistol Pete Maravich led the NBA with 2273 points. In 2006, Kobe Bryant led the NBA with 2832 points. However, there were many differences between basketball in 1977 and basketball in 2006, including the number of teams and possibility of a three-point shot. The mean number of points for the top 110 players in 1977 was 1198 points with a standard deviation of 379 points. The mean nimber of yards for the top 150 players in 2006 was 1123 points with a standard deviation of 433 points. Who had the better performance, Maravich or Bryant? Explain your reasoning.
Using z-scores, it is found that due to the higher z-score, Bryant had the better performance.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.The above bullet point means that higher z-scores mean a better performance.For Maravich, we have that the parameters are [tex]X = 2273, \mu = 1198, \sigma = 379[/tex], hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{2273 - 1198}{379}[/tex]
Z = 2.84.
For Bryant, we have that the parameters are [tex]X = 2832, \mu = 1123, \sigma = 433[/tex], hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{2832 - 1123}{433}[/tex]
Z = 3.95.
Due to the higher z-score, Bryant had the better performance.
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3125 - [72 - 4(11 - 4)]} =
Answer:
25
Because its right
also I just took a test that has this problem.
On the southeast corner of Millennium Park, there is a garden walk. It is marked off in red in the drawing below. Side C, the hypotenuse of the triangle, shows the row along which flowers will be planted.
If side a measures 90 feet and side b measures 120 feet, how many feet of flowers will be planted along side c, the hypotenuse of the triangle? Show your work and explain your reasoning. (2 points)
Answer:
150 feet
Step-by-step explanation:
a²+b²=c²
90²+120²=c²
8100+14400=22500
√22500 = 150
c = 150 feet
Please help me, I don't understand this-
Ms. Martin's new truck weighs 2 tons. 2 Which measurement is equivalent to the weight of her truck? F 2.500 pounds H 4,500 pounds G 6,000 pounds J 5,000 pounds
Answer:
i think its J 5,000 pounds
Step-by-step explanation:
6. following activities: has 9 hours of free time on Sunday, find how much time he spends on the The circle graph shows the percentage of Nathan's free time on Sunday. If Nathan 1. Percent spent on Reading: Free Time % 2. Time spent on Reading: Drawing Reading 25% 3. Time spent on Drawing: 4. Time spent Exercising: Watching Television 25% Exercising 30% 5. Time spent watching TV:
Answer: add them
Step-by-step explanation: your welcome to get a tutor
Bethany is making a rectangular fenced-in area for her rabbit in her yard. The area measures 4 3/4 feet wide by 2 yards long. What is the total length of fencing, in feet, that Bethany will need?
I need help with this please
Answer:
4 and 7
2 and 5
Step-by-step explanation:
4 and 7 are co interior angles
2 and 5 are co interior angles
sum of co interior angles are 180° hence they are Supplementary
Write an equation in slope-intercept form of the line shown.
An equation is
Answer:
y = -x - 4
Step-by-step explanation:
How do you solve this
MAX POINTS PLEASE HELP Will make Brainliest
What is the period and frequency of the function graphed and how would the equation be written??
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
The required equation is :
[tex]\qquad \sf \dashrightarrow \:y =a \cos(bx) + k[/tex]
Now, let's find the required values :
period (p) = 6
[distance between any successive Crest or trough]
a = - 4 (flipped)
b = 2π/p = 2π/6 = π/3
k = -2
Distance of starting position from origin = k
Now, plug in the values ~
[tex]\qquad \sf \dashrightarrow \: - 4 \cos( \frac{\pi}{3} x) - 2[/tex]
There is not crest given so use distance between troughs
Period (T):-
Distance between two troughs|3-(-3)|6Frequency:-
[tex]\\ \rm\dashrightarrow \dfrac{1}{T}[/tex]
[tex]\\ \rm\dashrightarrow \dfrac{1}{6}[/tex]
[tex]\\ \rm\dashrightarrow 0.17Hz[/tex]
PLEASE HELP PLEASE HELP PLEASE
Answer:
False
Please make this brianliest so others can learn from this answer
Happy to help :)
Step-by-step explanation: