Answer:
25cm
Step-by-step explanation:
first find the perimeter of the dmaller triangle. perimeter=add all sides
3+5+7=15cm
15cm=⅜
? = ⅝ (cross multiply)
15cm×⅝×8/3=25cm
perimeter of the larger triangle is 25cm
Two consecutive odd whole numbers are selected. The difference between the reciprocal of the two numbers is 2/99. Determine the two numbers
Answer:
x = 9 (first odd number)
x + 2 = 11 (second odd number)
Step-by-step explanation:
Let
x =first odd number
x + 2=second odd number
given:
1/x - 1/(x + 2) = 2/99
Find the LCM
(x+2)-x / x(x+2)=2/99
x+2-x / x(x+2)=2/99
common denominator x( x + 2)
2 / x(x + 2) = 2/99
Take the reciprocal of both sides
1/2x(x + 2) = 99/2
multiply both by 2
x(x +2) = 99
Expand the left side
x^2 + 2x = 99
add 1 to both sides
x^2 + 2x + 1 = 100
express the left side as a square
(x + 1)^2 = 100
Square root of both sides
x + 1 = 10 or x + 1 = -10
taking the positive root only
x = 9 (first odd number)
x + 2 = 11 (second odd number)
check:
1/9 - 1/11 = 2/99
11/99 - 9/99 = 2/99
2/99 = 2/99
A daycare charges a base fee of 3 dollars plus 0.50 dollars per minute for late (after closing time) pick-ups. Albin had to pay 10.50 dollars for a late pick-up. Albin uses the equation, 10.50 = 0.50 a + 3 to represent the situation. What does the variable a represent in the equation?
Answer:
The time in minutes for late pick upsStep-by-step explanation:
Given the expression for the situation
[tex]10.50 = 0.50 a + 3[/tex]
The variable "a" represents the time in minutes for late pick ups.
The expression is similar to the equation of a straight line
[tex]y=mx+c[/tex]
when compared to the given expression
we can state that
y= 10.5 which is the outcome of the situation
m= gradient which is 0.5
a= independent variable which is the time in minutes
c= 3 which is the constant term
Answer:
a or number of minutes of pickups
Step-by-step explanation:
khan
In 1985 Maria was 3 times as old as Sue. Five years earlier the sum of their ages was 18. When was Maria born?
Answer: Maria was born in 1964
Step-by-step explanation:
Let Sue's age be x
Maria's age be 3x
Five years ago, their ages were
x-5, 3x-5
So
(x-5) + (3x-5) = 18
x-5 + 3x - 5 = 18
4x -10 = 18
4x = 18+10
x = 28/4 = 7
Sue's age x-5 = 7-5 = 2
Maria's age = 3x-5 = 3(7)-5 = 21-5=16
Maria was born in 1980 - 16 = 1964
Answer: 1964
Step-by-step explanation:
to solve this question we should assign an equation for each year :
let x be Maria's age and y Sue's age.
1985 x+5=3(y+5) wich means: x-3y-10=0 1980 x+y= 18Now let's solve each equation by trying to minimise the number of variables we are dealing with
how ?
let's multiply x+y= 18 by -1
we get -x-y=-18
Now let's add this last equation to x-3y-10 = 0 to get rid of x
x-3y-10-x-y = -18-4y-10= -18 wich means : 4y+10 = 18 so y= 2so Sue's age is 2 .
let's calculate x the age of Maria by replacing y by 2 in x+y= 18
x+2 = 18 so x = 16Let's check : in 1985 Maria's age is 21 and sue's age is 7
7*3 = 21so it's true.
Now let's calculate Maria's year of birth :
In 1985 Maria was 21 so :
1985-21 = 1964Maria was born in 1964
The trick is to imaginate the situation and represent it :
F(x)=x^2 what is g(x)
3 cups a b c contain only salt and water the different mixtures are a salt:water 3:22 b Salt 1/8 c salt 12.75% what cup has the greatest proportion of salt
Answer:
Cup A
Step-by-step explanation:
Cup A
Salt: Water = 3:22
Expressed as a percentage
[tex]\dfrac{3}{22} \times 100 = 13.6\%[/tex]
Proportion of Salt =13.6%
Cup B
Salt: Water = 1:8
Expressed as a percentage
[tex]\dfrac{1}{8} \times 100 = 12.5\%[/tex]
Proportion of Salt =12.5%
Cup C
Proportion of Salt = 12.75%
Therefore, Cup A has the greatest proportion of salt.
how do u find rate of change on a graph
Step-by-step explanation:
The correct answer is the vertical change divided by the horizontal change between two points on a line. We can find the slope of a line on a graph by counting off the rise and the run between two points. If a line rises 4 units for every 1 unit that it runs, the slope is 4 divided by 1, or 4.
Answer:
Calculate the rise over the run/the change in y over the change in x
Step-by-step explanation:
In order to find the rate of change on a graph from a slope, you need to look at how many units up and how many units to the right. Find a solid point on the graph for both the x and y directions. Count how many units go up and how many go right. Divide how many units go up by how many go to the right and that is the rate of change on the graph.
The tables for f(x) and g(x) are shown below.
х
f(x)
-11
-5
-2
1
1
13
5
29
х
-5
g(x)
-7
-1
-2
1
5
5
13
What is the value of (f-9)(5)?
Answer:
16
Step-by-step explanation:
(f - g)(5) = f(5) -g(5)
From the tables, ...
f(5) = 29
g(5) = 13
Your desired function is ...
f(5) -g(5) = 29 -13 = 16
the length f a rectangle is 3 ties its width, the perimeter of it is 24cm. what is the area of it?
Answer: 27cm²
Step-by-step explanation:
lets take the width as x and length as 3x( since length is 3 times the width)…
Perimeter of the rectangle is 24 cm( 2*(l+b))= 2×(3x+x):24
2×4x=24
8x=24
X( width): 24/8=3cm
Length= 3x: 3*3=9cm
Area of the rectangle: ( l*w)= 9×3: 27cm²
Answer:
Step-by-step explanation:
triangle ABC is Isosceles CA and CB are equal AB is parallels to the x- axis. Work out the coordinate of A. Given that BC=5cm work out the perimeter of the triangle
Answer:
The perimeter of the triangle ABC is 17 cm.
Step-by-step explanation:
Consider the Isosceles triangle ABC.
The sides CA and CB are equal with measures, 5 cm.
The base angles are assumed to be x° each. Hence, the angle ACB is 2x°.
The altitude CP divides the base AB into two equal halves and the angle ACB is also cut into halves.
Consider the right angled triangle ACP.
The sum of all the angles in a triangle is 180°.
Determine the value of x as follows:
x° + x° + 90° = 180°
2x° = 90°
x° = 45°
Compute the length of side AP as follows:
[tex]cos\ 45^{0}=\frac{AP}{CA}[/tex]
[tex]\frac{1}{\sqrt{2}}=\frac{AP}{5}[/tex]
[tex]AP =\frac{5}{\sqrt{2}}\\\\AP=3.5[/tex]
Then the length of side AB is:
AB = AP + PB
= 3.5 + 3.5
= 7 cm
The perimeter of triangle ABC is:
Perimeter = AB + CA + CB
= 7 + 5 + 5
= 17
Thus, the perimeter of the triangle ABC is 17 cm.
Please answer this question now
Answer:
m < S = 55°
Step-by-step explanation:
Based on tangent theorem, a tangent line is said to be perpendicular to a radius of a circle when they intercept. The point at which they meet is said to be at 90°.
Therefore, in the ∆PQS, given, m < P = 90°.
m < Q = 35°
m < S = 180° - (90° + 35°) (sum of the angles in a triangle)
m < S = 180° - 125°
m < S = 55°
Given the function f(x) = −2x2 + 4x − 7, find f(−4).
−55
−7
9
25
Answer:
A. -55
Step-by-step explanation:
f(x)=-2x^2+4x-7
f(-4)= -2(-4)^2+4(-4)-7
= -2(16)-18-7
= -32-16-7
= -55
Answer:
-55
Step-by-step explanation:
f(x) = −2x^2 + 4x − 7
Let x = -4
f(-4) = −2(-4)^2 + 4(-4) − 7
= -2 (16) -16 -7
= -32 -16 -7
=-55
What is the perimeter of quadrilateral ABCD?
3+
O 18 + 2 units
A(-3,2)
B (42)
2
O 18 + 6 units
54 -2 -1
O 18 + 26 units
1 2 3 4 5
O 18 + 50 units
C (3.-3)
Answer:
I believe it is 18 + the square root of 26.
Step-by-step explanation:
The slope of line BC should be 5/1 because it goes up 5 times and to the right once. If you square root 26 you get 5.09.
good morning :) At the carnival, the Tea cups spin at a rate of 10 rpm. How long will it take for the Tea cups to spin 43.5 times? A. 435 minutes B. 44.5 minutes C. 43.5 minutes D. 4.35 minutes
Answer:
Option D
Step-by-step explanation:
Using Unitary Method:
10 rotations = 1 minute
=> 1 rotation = 1/10 minute
Multiplying both sides by 43.5
=> 43.5 rotation = [tex]\frac{43.5}{10}[/tex] minutes
=> 43.5 rotation = 4.35 minutes
Answer:
Hey!
Your answer is D!
Step-by-step explanation:
To do this...
43.5 / 10= 4.35!
So it is 4.35 minutes!
Eldrick is using the dot plots to compare two sets of data. Both plots use the same number line. What is the difference between the mean of each data set?
Answer:
15
Step-by-step explanation:
mean means add all the numbers and divide them by how many there are
plot 1: 63 divided by 9 equals 7
plot 2: 330 divided by 15 equals 22
so now we need to subtract 22 minus 7 equals 15
hope this helps
Answer:
15
Step-by-step explanation: you have to add all of the numbers and then divide the answer by the number of numers you added
HELP ASAP, PLEASE!!!!
Answer:
Fraction = 5/10 = 1/2
Decimal = 0.5
Step-by-step explanation:
Answer:
fraction-5/10 decimal-0.5
plz give brainiest
Step-by-step explanation:
*One half of two fifths of x.
Answer:
one half of two fifths of x would be equivalent to one fifth of x
The Goodsmell perfume producing company has a new line of perfume and is designing a new bottle for it. Because of the expense of the glass required to make the bottle, the surface area must be less than 150 cm2. The company also wants the bottle to hold at least 100mL of perfume. The design under consideration is in the shape of a cylinder. Determine the maximum volume possible for a cylindrical bottle that has a total surface area of less than 150 cm2. Determine the volume to the nearest 10mL. Report the dimensions of the bottle and he corresponding surface are and volume.
Answer:
Dimensions of the bottle
x (radius of the base ) = 3,99 cm
h (heigh of the bottle ) = 3,99 cm
Surface area = 149,99 cm²
Volume of the bottle = 199,45 cm³
Step-by-step explanation:
The bottle volume must be V(b) = 100 ml or V(b) = 100 cm³
The shape of the bottle is cylindrical
Surface area of bottle is
S = surface area of the base + lateral area
Area of the base = π*x ² where x is radius of circle
Lateral area is 2*π*x*h where h is the heigh of the bottle
V(b) = π* x²*h (1)
π*x² + 2*π*x*h < 150 cm² we work with the limit 150
π*x² + 2*π*x*h = 150
h = (150 - π*x²) /2*x*π
Plugging that value in equation (1)
V(x) = π*x² * (150 - π*x²) /2*x*π ⇒ V(x) = 150*π*x²/2*x*π - π²*x⁴/2*x*π
V(x) = 75*x - π*x³/2
Taking derivatives on both sides of the equation
V´(x) = 75 - 3*π*x²/2
V´(x) = 0 75 - 3*π*x² /2 = 0
x² = 75*2 /3*π ⇒ x² = 15,92 ⇒ x = 3,99 cm
And h = ( 150 -π*x² )/2*π*x
h = ( 150 - 49,98 )/25,05
h = 3,99 cm
Dimensions of the bottle
x (radius of the base ) = 3,99 cm
h (heigh of the bottle ) = 3,99 cm
Surface area = 149,99 cm²
Volume of the bottle = 199,45 cm³
what is the ordered pair for 2x - y = 8 and y = x - 3
Answer:
The ordered pair for the given equations is (5,2)
Step-by-step explanation:
We are given two equations in this problem.
2x - y = 8
y = x - 3
Plug in y for the first equation so we can find x.
2x - (x - 3) = 8
Distribute the negative to (x - 3).
2x - x + 3 = 8
Subtract x from 2x.
x + 3 = 8
Subtract 3 from both sides of the equation.
x = 5
Now that we have the value of x, then we can plug in x for the second equation to find y.
y = 5 - 3
Subtract 3 from 5.
y = 2
So, the ordered pair for this equation is (5, 2)
PLZ HELP ME WILL GIVE BRAINLIEST
Answer:
negative slope
Step-by-step explanation:
using the slope equation you can see that the slope is -53
Last year, 1,345 bicyclists showed up to the bicycle race. This year, only 690 bicyclists showed up. Write the ratio of the number of bicyclists that showed up to the bicycle race for the past two years.
Answer:
138 : 269
Step-by-step explanation:
Last year, the number of bicyclists that showed up was 1345.
This year, there were 690 bicyclists.
The ratio of the number of bicyclists that showed up for the past two years is the ratio of those that showed up this year to those that showed up last year:
690 : 1345
Let us put it in simplest terms:
138 : 269
Given: x + 2y=-6.
Solve for y
Oy=x-6/2
Oy=-x+6/2
Oy=-x-6/2
Answer:
y = (-x - 6)/2
Step-by-step explanation:
x + 2y = -6
2y = -x - 6
y = (-x - 6)/2
what is the volume of the cone below?
Hey there! :)
Answer:
V = 3408 units³
Step-by-step explanation:
Given:
r = 12
h = 71
Volume of a cone: V = 1/3 (bh) where b = πr²
Calculate the area of the base:
A = 12²π
A = 144π units²
Plug this into the formula for the volume of a cone:
V = 1/3 (144π · 71)
V = 1/3 (10224)
V = 3408 units³
Answer:
B . 3408 π units^3
Step-by-step explanation:
[tex]h = 71\\r = 12\\V =?\\V = \frac{1}{3} \pi r^2 h\\V = \frac{1}{3} \pi \times 12^2 \times 71\\V = \frac{1}{3} \pi \times 144 \times 71\\V = 3408 \pi -units^3[/tex]
In ∆ABC, m∠ACB = 90°, m∠A = 40°, and D ∈ AB such that CD is perpendicular to side AB. Find m∠DBC and m∠BCD.
Answer: ∠B = 50°
∠BCD = 40°
Step-by-step explanation:
ACB is a right triangle where ∠A = 40° and ∠C = 90°.
Use the Triangle Sum Theorem for ΔABC to find ∠B:
∠A + ∠B + ∠C = 180°
40° + ∠B + 90° = 180°
∠B + 130° = 180°
∠B = 50°
BCD is a right triangle where ∠B = 50° and ∠D = 90°.
Use the Triangle Sum Theorem for ΔBCD to find ∠C:
∠B + ∠C + ∠D = 180°
50° + ∠C + 90° = 180°
∠C + 140° = 180°
∠C = 40°
Which shows how to find the y-coordinate of the point that will divide CD into a 5:2 ratio using the formula y = (y2 – y1) + y1? y = (3 – 1) + 1 y = (3 + 4) – 4 y = (3 – 1) + 1 y = (3 + 4) – 4
Answer:
[tex]\frac{5}{5+2}(3-1)+ 1[/tex]
Step-by-step explanation:
To find the coordinate of the point that divides a line segment AB with point A at ([tex]x_1,y_1[/tex]) and point B at [tex](x_2,y_2)[/tex] in the proportion c:d, the formula used to find the location of the point is:
[tex]x-coordinate:\\\frac{c}{c+d}(x_2-x_1)+x_1 \\\\While \ for\ y-coordinate:\\\frac{c}{c+d}(y_2-y_1)+y_1[/tex]
Therefore the y coordinate that divides line segment CD with point C at ([tex]-4,1[/tex]) and point D at [tex](3,3)[/tex] in the proportion 5:2 is given by:
[tex]for\ y-coordinate:\\\frac{c}{c+d}(y_2-y_1)+y_1\\=\frac{5}{5+2}(3-1)+ 1\\=\frac{5}{7}(2)+1=\frac{17}{7}[/tex]
Answer:
{5/7}(3-1)+1
Step-by-step explanation:
You and your business partner track the number of customers served and the amount of tips collected per day. The data you gathered is displayed in the chart below. Servers’ Collected Tips Customers 54 46 34 67 52 22 49 64 55 80 38 42 Tips ($) $92 $80 $76 $121 $109 $43 $87 $114 $99 $174 $88 $91 a) Create a scatterplot displaying the data in the table. Be sure to include a linear trend line
Answer:
Simply create a scatter plot then write in a line of best fit.
Step-by-step explanation:
Answer:
create a scatter plot then write in a line of best fit.
Step-by-step explanation:
How do i know if i have brainly plus? i have recently not been getting limited answers and no 'ads' and I'm starting to get concerned if I have plus or not, if I do its draining my money and I don't want it is there any way to check
also is the sqrt of 10 -3?
Answer:
Click on your profile icon (next to friends icon) at the bottom it will say what current plan you are on and.... the square root of 10 is positive 3
Step-by-step explanation:
EXPRESS 56 AS THE PRODUCT OF PRIME NUMBERS USING PRIME FACTORIZATION METHOD
PLS FIND THE ANSWER
Answer:
Prime factorization: 56 = 2 x 2 x 2 x 7, which can also be written 56 = 2³ x 7
Step-by-step explanation:
56 = 2³ x 7
Answer:
The answer is 56 = 2³ × 7.
Step-by-step explanation:
56 ÷ 2 = 28
28 ÷ 2 = 14
14 ÷ 2 = 7
7 ÷ 7 = 1
Basil asks each of 40 students how many books they bought last year. Can anyone answer B?
Answer:
10 books.
Step-by-step explanation:
(b) To estimate the mean we take the mean value of books for each bar.
So for 0-4 books we use 4/2 = 2, for 5-9 we use (9-5)/ 2 + 5 = 7 and so on for each bar. So the estimate for the first bar is 2 * 9 = 18 books.
So the required mean = total estimate of books bought / number of students
= (9 *2 + 10*7 + 12*13 + 17*2 + 22*6) / 40
= 410 / 40
= 10.25
The diagram shows several different reflections of AB. Which segment is the image created by reflecting AB across the x-
axis?
A. PR
B. WZ
C. VT
D. AB
Answer:
Answer is C. VT just took the test and this was the answer 100 percent.
Step-by-step explanation:
just took the test
Find the value of x in the triangle shown below.
Answer:
It should be 50 degrees
Step-by-step explanation:
180-80= 100 degrees
making the two bottom angles combined angles equal to 100 degrees
100 divided by 2= 50 degrees making x=50 degrees
x= 50 degrees
Answer:
50°
Step-by-step explanation:
80+x+x=180
80+2x=180
2x=180-80
2x=100
100/2=50