Answer:
The coordinates are (-5,5)
Step-by-step explanation:
We use the internal division formula here
(x,y) = (nx1 + mx2)/m+ n , (ny1 + my2)/(m + n)
where m = 1
n = 4
(x1,y1) = (-8,8)
(x2,y2) = (7,-7)
Substituting these values, we have
(x,y) = (4(-8) + 1(7))/5 , (4(8)+ 1(-7)/5
(x,y) = (-25/5, 25/5)
(x,y) = (-5,5)
There are 32 females cast in the school play. The ratio of male roles to female roles is 3:8. How many males are cast in the school play?
Answer:
12 males
Step-by-step explanation:
3:8= 8 is for male
32÷8= 4
4×3= 12 males
hope it helps!
PLEASEEEE HELPPPPPPP!!
Answer:
15.13 cm
Step-by-step explanation:
We are given:
Lateral surface area of a right circular cone : πr√r² + h²
From the question, we know that:
Lateral surface area = 236.64cm²
Radius = 4.75cm
Height = ?
Making h the subject of the formula
h = √[(A/r)² - πr²]/π
h = √[(236.64/4.75)² - π ×4.75²]/π
h = √(2481.9275169 - 70.882184247)/π
h = 15.12975 cm
Approximately to the nearest hundredth = 15.13cm
one baseball team played 24 games throughout their entire season if this baseball team won 6 of those games what percentage did they win
Answer:
25%
Step-by-step explanation:
As it states in the question there are 24 total games
So the denominator must be 24, The problem also states they won 6 games.
So the fraction of the games they won is 6/24.
But the qustion is not about the fraction, its about the percentage of the games they won.
so you can simplify 6/24 to 1/4 which eqeal to 25%
1/4=25%
So 25% is the answer.
New grass seeds grow rapidly. A grass seed has grown to 12 millimeters tall. Tomorrow it will
be 23 millimeters tall, the next day it will be 34 millimeters tall, and on the next day it will be
45 millimeters tall. Write a rule to represent the height of the bean plant as an arithmetic
sequence. How tall will the plant be in 15 days?
A(n) = 16 + (n – 1)11; 194 millimeters
A(n) = 12 + (n – 1)11; 166 millimeters
A(n) = 13n; 195 millimeters
A(n) = 12n; 180 millimeters
Answer:
The correct answer is;
A(n) = 12 + (n-1)11; 166 millimeters
Step-by-step explanation:
Here, we want to write a rule representing the growth
From the question, we can see that the rate of growth is ;
34-23 = 23-12 = 11
This means it grows at a rate of 11 mm per day
So on the 15th day, its height will be;
We can have an arithmetic progression here, with 12 as the first term and 11 as the common difference
The nth term An can be represented as;
An = a + (n-1)d
where a = 12 mm , n = 15 and d = 11 mm
Thus, we have
An = 12 + (15-1)11
An = 12 + 154
An = 166 mm
1
Select the correct answer.
Which expression is equivalent to sec2xcot?x?
O A Sin?x
O B. cScZx
OC. (1)/(cos^2x)
OD. (1)/(tan^2x)
Answer:
The equivalent expression is cosec2x
option B
Step-by-step explanation:
The correct question is ;
which expression is equivalent to sec2xcot2x?
Solution
Mathematically;
sec2x = 1/cos2x
cot2x = 1/tan2x
so we have
1/cos2x * 1/tan2x
recall that the product of tan and cos is sin
from the formula;
tan = sin/cos
so we have our final answer as;
1/sin2x
Kindly recall that ;
sin = 1/cosec
so therefore;
1/sin2x = csc2x
ASAP!! WILL MARK BRAINLIEST!!
Is it a right triangle ??
Write the expression as an algebraic expression of x that does not involve trigonometric functions:
[tex] csc({cos}^{ - 1} x)[/tex]
Answer:
[tex]\displaystyle \csc(\cos^{-1}(x))=\frac{1}{\sqrt{1-x^2}}[/tex]
Step-by-step explanation:
Please refer to the attachment.
We have:
[tex]\csc(\cos^{-1}(x))[/tex]
First, we will let:
[tex]\cos^{-1}(x)=\theta[/tex]
Then:
[tex]x=\cos(\theta)[/tex]
So, the adjacent side of our triangle is x and the hypotenuse is 1.
Then by the Pythagorean Theorem, the opposite side is given by:
[tex]x^2+o^2=1^2[/tex]
So:
[tex]o=\sqrt{1-x^2}[/tex]
Going back, we have:
[tex]\csc(\cos^{-1}(x))[/tex]
Since arccos(x) is θ:
[tex]=\csc(\theta)[/tex]
Cosecant is the ratio of the hypotenuse over the opposite side. Therefore:
[tex]\displaystyle \csc(\theta)=\frac{1}{\sqrt{1-x^2}}[/tex]
Hence:
[tex]\displaystyle \csc(\cos^{-1}(x))=\frac{1}{\sqrt{1-x^2}}[/tex]
please answer (NOT A MULTIPLE CHOICE ANSWER)
In ΔOPQ, \text{m}\angle O = (6x-14)^{\circ}m∠O=(6x−14) ∘ , \text{m}\angle P =(2x+16)^{\circ}m∠P=(2x+16) ∘ , and \text{m}\angle Q = (2x+8)^{\circ}m∠Q=(2x+8) ∘ . Find \text{m}\angle Q.m∠Q.
Answer:
you are incorrect it is actually 107 degrees
Step-by-step explanation:
Tell whether the relation is a function.
Answer:
No, it is not a function
Step-by-step explanation:
Here, we want to tell if the relation is a function
For the relation to be a function, each independent variable must be mapped to only a single dependent variable
So what this means is that one term of the independent side must be mapped to one term of the dependent side
From the question, we can see that -10 and -15 were both mapped to -10 which should not be so
This means that the relation is not a function
please help me with the question
Answer:
The right answer is Option 2:
[tex]y+6 = -\frac{3}{4}(x-2)[/tex]
Step-by-step explanation:
Point-slope form of equation of a line is given by:
[tex]y-y_1 = m(x-x_1)[/tex]
Here m is slope of the line and (x1,y1) is the point from which the line passes.
Given
Slope = m = -3/4
Point = (x1,y1) = (2,-6)
We simply have to put these value into the general form of equation of line in point-slope form
[tex]y-(-6) = -\frac{3}{4}(x-2)\\y+6 = -\frac{3}{4}(x-2)[/tex]
Hence,
The right answer is Option 2:
[tex]y+6 = -\frac{3}{4}(x-2)[/tex]
What is the approximate area of rectangle ABCD?
Answer:
I think it's 158
Step-by-step explanation:
Answer:
158
Step-by-step explanation:
The formula for the area of a rectangle is A = bh.
Genevieve drew a right triangle such that one of its acute angles is five times the measure of the other acute angle. Find the measure of the smallest angle of the triangle.
Answer:
15°Step-by-step explanation:
Let the smaller angle be xThen the other angle is 5xSum of acute angles equals to 90°
x + 5x = 90°6x = 90°x = 90°/6x = 15°The smallest angle is 15°
In how many ways can one write the numbers 1, 2, 3, 4, 5, and 6 in a row so that given any number in the row, all of its divisors (not including itself) appear to its left
Answer: 25 ways.
Step-by-step explanation:
first we have 1,2,6. this can appear once.
4, can appear in twice.
3 can appear in-between 2 and 6, this means 3 can appear 3times before 6.5 would appear 5 times.after 6 3 can appear 2 more times.[tex]= (3+2) * 5\\= 5*5\\= 25ways[/tex]
by not including itself, an appearing on the left side. one number can be written 25ways
what answer is it GIVING BRAINLIEST
Answer:
A
Step-by-step explanation:
The product mean multiplication
A field has an area of 64400m^{2} .
Calculate the area of the field. On the map in cm^{2} .
PLEASE HELP ME TO SOLVES IT SOON!
Answer:
[tex]644,000,000\ cm^2[/tex]
Step-by-step explanation:
[tex]We\ are\ given:\\Area\ of\ the\ map\ in\ m^2=64400\ m^2\\Hence,\ all\ we\ just\ have\ to\ do\ is\ to\ convert\ it\ into\ cm^2.\\Hence,\\Lets\ derive\ the\ formula\ of\ conversion\ from\ m^2\ to\ cm^2\ and\ vice\ versa.\\We\ know\ that,\\1m=100\ cm\\By\ squaring\ both\ the\ sides\ we\ get,\\(1m)^2=(100cm)^2\\Hence,\\1m^2=100^2\ cm^2\\1m^2=10,000\ cm^2\\Just\ in\ case\ you\ wanna\ convert\ cm^2\ to\ m^2,\\1m^2=10,000\ cm^2\\1cm^2=\frac{1}{10,000} m^2\\[/tex]
[tex]Here,\\As\ the\ area\ of\ the\ field\ in\ m^2=64,400\ m^2\\ As\ the\ area\ of\ the\ field\ in\ cm^2=64,400\ m^2*10,000=644,000,000\ cm^2[/tex]
A supermarket had bags of red grapes for $13.00 for 5 bags. They also had bags of green grapes priced at $5.08 for 2
bags. Which type of grape is most expensive?
A Green grapes
B) Red grapes
They are both the same price
Answer:
Green grapes are less expensive.
Step-by-step explanation:
5.08/2 = 2.54
Multiply that by 5
You get $12.70 for 5 bags.
The average time a human being can hold their breath underwater is 1 minute. A hippo can hold its breath underwater for at least 5 times as long as a human. Write an inequality that represents how long a hippo can hold its breath underwater.
Answer:
Average breath hold time by hippo under water ≥ 5 minutes
Step-by-step explanation:
Average time by human = 1 minute
Average time by hippo = ≥ 5 times human
Since average human breath hold time = 1 minute
Average breath hold time by hippo = 5 * 1 minute
Average breath hold time by hippo under water ≥ 5 minutes
what is the solution to the system of equations graphed below
Answer:
A. (-2, 1)
General Formulas and Concepts:
Algebra I
Solving systems of equations by graphingStep-by-step explanation:
Our solution set is where the 2 equations intersect. According the the graph, the systems intersect at point (-2, 1). Therefore, our answer must be A.
Answer is:
A.
(-2, 1)
Jason consumes 1500 calories and needs to
put on weight, so he plans on increasing his caloric intake by 150 calories a day. His sister, Lisa, needs to lose weight and decrease her present intake of 3500 calories by 100 calo ries a day. After how many days will they be consuming the same number of calories?
Answer:
100*150=15000 calories
Step-by-step explanation:
100 times 150 is 15000 because you are multipling 2 people
I don't know if it is correct
just check and if it isn't then check some one elses work.
To anyone who sees this: you're beautiful, you're loved, you're strong, you're appreciated, and you're amazing.
I am happy that you're here today:) hope you have a great day today, stay safe as well:))
Answer:
Awwww
Step-by-step explanation:
Thank you! I hope you know that as well :). I really needed that today so thank you
Bob has 8 more dimes than quarters if he has a total of $4 .30, how many of each coin dies he have?
Please help I will give brainliest!!
On a timer please help
Which could be the graph of f(x) = |x - h| + k if h and k are both positive?
Answer: a
Step-by-step explanation: edge 2020
A boulder, initially at rest, falls off the top of an overhanging cliff during a storm. The cliff is 96 feet high. How long will it take to hit the road below? Round your answers to the nearest thousandth.
Dropped: h(t)=-16t^2+s
Answer:
1.94 seconds
Step-by-step explanation:
[tex]3x+42=75[/tex]
Have a happy holiday!
Answer: X=11
thank you!!! happy holidays!! :}
Answer: x=11
Step-by-step explanation: 3x+42=75
Step 1: Subtract 42 from both sides.
3x+42−42=75−42
3x=33
Step 2: Divide both sides by 3.
3x
3
=
33
3
x=11
Circle theorems help please
Answer:
maybe 15 is the answer so
Answer:
x = 75°
Step-by-step explanation:
The angle at the centre is twice the angle on the circle subtended on the same arc.
The angle at the centre is
360° - (285 - x)
= 360 - 285 + x
= 75 + x
Thus
x = [tex]\frac{1}{2}[/tex] (75 + x) ← multiply both sides by 2 to clear the fraction
2x = 75 + x ( subtract x from both sides )
x = 75°
I need The rate of change
Answer:
m=4
Step-by-step explanation:
To find the average rate of change, you have to calculate the change in y over x which gives you 4
Write the simplest polynomial function for each set of zeros
Zeros = -2, 5, -1
Answer:
The polynomial is ;
x^3 -2x^2 -13x - 10
Step-by-step explanation:
Given the zeros, we set them to equal zero so as to get the linear factors
Mathematically, that will be as follows;
x = -2
x + 2
x = 5
x-5
x = -1
x + 1
So we have the polynomial as;
(x + 1)(x + 2)(x-5)
= (x -5)(x^2 + 3x + 2)
= x^3+ 3x^2 + 2x -5x^2 -15x - 10
= x^3 -2x^2 -13x - 10
At what time is Ann driving 35 mph? show the work that leads to your answer
Answer:
at 6 minutes and 8.25 minutes
Step-by-step explanation:
When the time reaches 6 minutes, the line touches 35mph. Same goes for 8.25 minutes.
Which situation represents a proportional relationship?
Answer:
So a proportional relationship is one in which there is a . For example if you know that somebody makes $10 per hour per every one hour. This is a proportional relationship and we can use an equation to represent this.