Answer:
24 days
Step-by-step explanation:
lowest common multiple of 12 and 8 is
24
For them to exercise together again, the day must be a common multiplier of 12 and 8
12 = [tex]2^{2} . 3[/tex]
8 = [tex]2^{3}[/tex]
So, their LCM is [tex]2^{3} .3 = 24[/tex]
=> After 24 days, they will exercise together again.
An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 22 feet up. The ladder makes an angle of 77^{\circ}
with the ground. Find the length of the ladder. Round your answer to the nearest tenth of a foot if necessary.
The ladder and the outside wall form a right triangle
The length of the ladder is 97.8 feet
How to determine the length of the ladder?The given parameters are:
Distance (B) = 22 feet
Angle of elevation (θ) = 77 degrees
The length (L) of the ladder is calculated using the following cosine ratio
cos(θ) = B/L
So, we have:
cos(77) = 22/L
Make L the subject
L = 22/cos(77)
Evaluate the product
L = 97.8
Hence, the length of the ladder is 97.8 feet
Read more about right triangles at:
https://brainly.com/question/2437195
Peter graphed two points given below on a coordinate plane.
(-6, 4), (3, 4)
What is the distance between the points?
Answer:
9
Step-by-step explanation:
Because the y-coordinates are the same but the x-coordinates are different so -6 to 3 would be 9 because -6 to 0 is 6 and 0 to 3 is 3 and 3 + 6 equals 9
Answer:
distance: 9 units
Explanation:
[tex]\sf distance \ between \ points \ : \ \sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
Here coordinates : (-6, 4), (3, 4)
substitute the following values and put into the equation
[tex]\sf \rightarrow \sqrt{(4-4)^2+(3-(-6))^2}[/tex]
[tex]\sf \rightarrow \sqrt{(3+6)^2}[/tex]
[tex]\sf \rightarrow \sqrt{81}[/tex]
[tex]\sf \rightarrow 9[/tex]
what is the slope of y = 15x + 5
Answer:
15
Step-by-step explanation:
from equation y= mx+c
we can equate m (slope/gradient) to 15
Find the value of x.*
20
48
36
60
Answer: 48
Step-by-step explanation:
Find the volume and surface area of this combined figure.
The volume and surface area of the composite shape are 575.6cm³ and 518.1cm² respectively
How to calculate the volume and surface area of composite shapesComposite shapes are the combination of two or more shapes combined together.
The composite shape given is made up of a hemisphere and a cone
Volume of the composite shape = 2/3πr³ + 1/3πr²h
Volume of the composite shape = 1/3πr²(2r+h)
Volume of the composite shape = 1/3(3.14)(5)²(2(5)+12)
Volume of the composite shape = 1/3(3.14)(5)²(22)
Volume of the composite shape = 575.6cm³
Hence the volume of the composite shape is 575.6cm³
Calculate the surface area
Surface area = πr(r+l) + 3π r²
Surface area = 3.14(5)(13+5) + 3(3.14)(25)
Surface area = 282.6 + 235.5 = 518.1 square cm
Hence the surface area of the composite figure is 518.1 square cm
help me with this problem ASAP!
Answer:
24 boards
Step-by-step explanation:
The builder is building a fence with inches wide wooden boards, arranged side-by-side with no gaps.
If the fence is 150 inches long, then there will be a certain number of wooden boards required.
Now, 1 wooden board is equivalent to 6.25 inches.
Then the number of wooden boards required to cover 150 ft. will be
Answer:
24
Step-by-step explanation:
150/6.25 = 24. one unknown so divide to move 6.25 and you get the answer.
Select all the expressions that describe the area of this rectangle.
Answer:
a, c, d
Step-by-step explanation:
This is because there share the same answer:
12x + 6
hope this helps =)
HELPPP WHATS THE PERMITER
Answer:
48 is the perimeter
Step-by-step explanation:
I gotchu
If you put $5000 in a savings account that
pays 2% annual interest, the amount
of money you will have at the end of the year
is?
Answer:
$5100.
Step-by-step explanation:
2% annual interest is the same as multiplying a number by 0.02, then adding that number to the original number. Using this information, we can do the following steps:
5000 x 0.02 = 1005000 + 100 = 5100You will have $5100 at the end of the year.
Answer:
$5100
Step-by-step explanation:
$5000 is put into the account originally. If you multiply this number by 0.02 you will get your answer. All the best. -Crispin
PLSPLSPLSPLSPLSPLSPLSPLS
Answer:
reason
1. symmetrical property
sides can be interchanged and its still true
statement
1. if triangle kjm is congruent to klm
then klm is congruent to klm
reason
2. reflexive property
triangle is congruent to itself
statement
2. triangle kjm is congruent to triangle kjm
reason
3. transitive property
if the 1st 2 triangles are congruent to each other and congruent to a third
then the first triangle is congruent to the third triangle
statement
3. if kjm is congruent to klm and
klm is congruent to abc then
kjm is congruent to abc
In a concert band, the probability that a member is in the brass section is
0.50. The probability that a member plays trombone, given that he or she is in
the brass section, is 0.24.
What is the probability that a randomly selected band member is in the brass
section and plays trombone?
• A. 0.74
•
B. 0.12
• C. 0.26
• D. 0.48
Answer:
the answer is C. 0.26
Step-by-step explanation:
Because 0.50 + 0.24 is 0.74 and I'm guessing it goes to 1.0
So you subtract 1.0 from 0.74 to get 0.26
Ralphie is taking a ten-question multiple choice test. Each question has five choices. If Ralphie answers a question
correctly, he earns one point; if he answers incorrectly, he loses half a point. Ralphie answers the first six questions
correctly, then guesses on the last four. What is the expected value of his test score? Round the answer to the nearest
whole percent.
Using the binomial distribution, it is found that the expected value of his test score is of 6.8.
What is the binomial probability distribution?It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.
The expected value of the binomial distribution is:
E(X) = np
In this problem, the parameters are given as follows:
For the first 6 questions, n = 6 and p = 1.For the last 4 questions, n = 4 and p = 1/5 = 0.2.Hence, the expected score is given by:
E(X) = 6 x 1 + 4 x 0.2 = 6.8.
More can be learned about the binomial distribution at https://brainly.com/question/24863377
Answer:
A.
Step-by-step explanation:
A prince has arrived to rescue a princess standing in a tower balcony 18 meters up across a
moat 12 meters wide. He knew the princess was high up and there was a moat, so he
brought the longest ladder in the kingdom, a 20-meter monster. Is the ladder long enough?
"Twice the reciprocal of a number plus six equals two thirds." Create an equation and find the number.
Answer:
1/x + 6 = 2/3
x is the number, so there it has to be switched if a reciprocal happens. :) hope this helps
how do you do 35x56 i need help please
Answer:
EASY-
Step-by-step explanation:
First you need to write down the equation into what I call box form.of money Itzel has left over after buying p bottles
of nail polish
What does the constant 25 represent in this
context?
Expand and simplify 2(x+7)+3(x+1)
To solve this function, we must add like terms until there is nothing that we can add, multiply, subtract, divide, or simplify
[tex]2(x+7) +3(x+1) = 2x + 14 + 3x + 3 = 5x + 17[/tex]
Hope that helps!
Draw a model of 1/2 divided by 4 please help yall
Answer:
1/8
Step-by-step explanation:
1/2 divided by 4 = 8 1/8ths
find 2 cube number that is greater then 20 but less than 50
[tex] 20\leqslant x {}^{3} \leqslant 50[/tex]
[tex] \sqrt[3]{20} \leqslant x \leqslant \sqrt[3]{50} [/tex]
[tex]2.714 \leqslant x \leqslant 3.684[/tex]
[tex]x = 3[/tex]
[tex]x = 3.5[/tex]
verify your answer:[tex]3 {}^{ 3} = 27 [/tex]
[tex] 20\leqslant27 \leqslant 50[/tex]
[tex]3.5 {}^{3} = 42.875[/tex]
[tex]20 \leqslant 42.875 \leqslant 50[/tex]
The cost of attending an amusement park is $15 for children and $35 for adults on a particular day the attendance at the amusement park is 25,000 attendees and the total money earned by the park is 600,000 use a given matrix equation to solve for the number of children tickets sold
The total number of children tickets sold on the particular day is; 13750.
What is the total number of children tickets sold?It follows from the task content that;
x + y = 25,00015x + 35y = 600,000On this note, it follows that the total number of children and adult tickets sold on that particular day is; x and y respectively.
Upon solving the equation simultaneously, x=13750.
Hence, the total number of children tickets sold is; 13750.
Read more on Simultaneous equations;
https://brainly.com/question/16863577
Answer:
13,750
Step-by-step explanation:
Switch values a and d value a 1 and value d 35 and then after that make values b and c negative so turn value b 1 into -1 and turn value c 15 into -15 and then follow this method a×d-(-b)×(-c) so like this 1×35-(15)(1)= 35-15=20 and thats the determinant so then you do put it on a fraction below 1 so like this 1/20 times the top part of the matrix (35 -1 ) and the bottom part of the matrix (-15 1) so mulitply every value by 0.05 so we end up with the top part of the matrix (1.75 -0.05)
and the bottom part of the matrix (-0.75 0.05) and then we multiply them like this
1.75(25,000) + (-0.05)(600,000)= 43,750 - 30,000= 13,750
-0.75(25,000) + 0.05(600,000) = -18,750 + 30,000= 11,250
so the missing matrix is
(13,750 11,250)
so the number of childrens tickets sold is 13,750
Which of the following is true about quantitative research? Group of answer choices It offers conclusions that are always correct. It is always conducted using primary data collection. It includes focus group interviews. It revises the research objective based on data mining. It confirms insights and hypotheses generated via qualitative research.
Complete the following sentence with the best phrase. A small P-value means:
A. The data provide strong evidence in favor of the null hypothesis
B. The data provide no evdence in favor of either hypothesis
C. The data provide little evidence in favor of the alternative hypothesis
D. The data provide strong evidence in favor of the alternative hypothesis
Answer:
d
Step-by-step explanation:
17) y=-2(x-3)^2+8
Vertex: ____
Y-intercept(plug-in 0): ____
18) y=4x^2-8x-5
a=__ b=__ c=__
1. Circle: Graph upwards/downwards
2.Vertical Axis of Symmetry
X=-b/2a
X=__
3.Vertx (plug in axis of symmetry):
4. Y-intercept (plug in 0):(0,_)
5. X-intercepts (Solve by any method):
X=__,__
6.Graph the equation below:
Answer:
17. vertex (3,8)
y intercepts = -10
18. a=4,b=-8,C=-5
1. graph downwards
2.x=1
3.vertex(1,-9)
4.y intercept = -5
5.x = -1/2 or X = 5/2
If y x w= 0, what can be said about the two vectors y and w?
=
One of the vectors is 0.......
PLS HELP
it is the last question ignore the lesson and pg number ;)
Answer:
the last answer is -1 :))))))
Find CD. Assume segments that appear to be tangent are tangent.
Answer: 5
Step-by-step explanation:
They are 1,236 oysters in a tub. If Lee gives Chris half of her oysters how many will remain in the tub?
Answer:
618
Step-by-step explanation:
half means you divide by 2.
so 1,236/2=618
hope this helps
Answer:
618 oysters
Step-by-step explanation:
Given :
1,236 oysters in a tubGives Chris half of her oystersSolving :
half refers to dividing the number of oysters by 2 or multiplying by 1/2⇒ 1,236 / 2⇒ 618 oysters remainIsabella is calculating the interest earned on a deposit of $3,000 in an account that earns 4% compound interest after 6 years.
$3,000 in an account that earns 4% compound interest after 6 years.
solution:[tex]p = 3000[/tex]
[tex]r = 4[/tex]
[tex]t = 6years[/tex]
[tex]interest = \frac{prt}{100} [/tex]
[tex] = \frac{3000 \times 6 \times 4}{100} [/tex]
[tex] = 720[/tex]
therefore, $720 is the current amount of interest.
Farm A has 120 sheep. of the sheep have lambs. Some of the sheep have 1 lamb and some of the sheep
have 2 lambs. The ratio of the sheep who have 1 lamb to the sheep who have 2 lambs is 3:5.
(a) What fraction of the sheep who have lambs on farm A have 2 lambs?
Answer:
75/120 = 15/24 = 5/8
Step-by-step explanation:
3 + 5 = 8 There are 8 parts
120 / 8 = 15
15 X 5 = 75
There are 75 sheeps with 2 lambs
The total number of sheep having 2 lambs in farm A is [tex]0.625[/tex].
To find the fraction of the sheep who have lambs on farm A have 2 lambs, we need to have the total number of sheep having 2 lambs in farm A.
How to determine the fraction of sheep?
According to the question, the ratio of the sheep having 1 lamb and 2 lambs is [tex]3:5[/tex] and the total number of sheep is 120.
So, the total number of sheep having 2 lambs in farm A is calculated as-
[tex]L_2=\dfrac{5}{3+5}\times 120\\=5\times 15\\=75[/tex]
Now, the fraction of the total number of sheep having 2 lambs in farm A is-
[tex]F=\dfrac{75}{120}\\=0.625[/tex]
Thus, the total number of sheep having 2 lambs in farm A is [tex]0.625[/tex].
Learn more about fractions here- https://brainly.com/question/10354322
#SPJ2
What number Am I?
Elmo wants answers
Answer:
20
Step-by-step explanation:
Since it's a multiple of 5 between 18 and 30, possible answers are:
20 and 25
The GCF of 18, 36, and the number is 2, and 25 is not divisible by 2, leaving only 20.
