Answer:
x = 20
Step-by-step explanation:
The ratios of corresponding sides are equal, that is
[tex]\frac{ED}{EG}[/tex] = [tex]\frac{EC}{EF}[/tex] , substitute values
[tex]\frac{36}{20}[/tex] = [tex]\frac{25+x}{25}[/tex] ( cross- multiply )
20(25 + x) = 900 ( divide both sides by 20 )
25 + x = 45 ( subtract 25 from both sides )
x = 20
John took 8 hours to drive 320 miles. At this same rate, how far will he travel in 16 hours?
Answer:
640 Miles
Step-by-step explanation:
PLEASE HELP!! WILL AWARD BRAINLIEST!!
Answer:
2.478 million at the end of 2015
Step-by-step explanation:
Multiply the amount of population at the end of 2012 times 6%
2.1 times 0.06 = 0.126 million
So, at a constant rate, yearly, the population of Dubai increases 0.126 million
2015-2012 = 3
0.126 times 3 = 0.378 million
2.1 + 0.378 = 2.478 million
hope this helps:)
Consider the given function. Plot the x-intercept(s), y-intercept, vertex, and axis of symmetry of the function.
Answer:
Following are the solution to the gvien question:
Step-by-step explanation:
Let the quadratic equation is:
[tex]\to h(x) = (x + 1)^2 - 4[/tex]
vertex is:
[tex]\to h(x) = a(x -h)^2 + k[/tex]
(h) = axis of symmetry
(h,k) = vertex.
By using the given equation:
[tex]h(x) = (x - (-1))^2 - 4[/tex]
Hence,
[tex]h = -1 \\\\ k = -4[/tex]
line of symmetry [tex]x = -1[/tex]
vertex is [tex](h,k) = (-1,-4)[/tex]
finding the x intercept:
[tex](x + 1)^2 = 4\\\\\sqrt{(x + 1)^2} = \sqrt{4}\\\\x + 1 = \pm 2\\\\x = 2-1 \ \ \ \ \ \ \ \ \ \ or \ \ \ \ \ \ \ \ \ \ \ \ \ \ x =-2 -1\\\\x = 1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ or \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x =-3\\\\[/tex]
x -intercepts -3,1
Calculating the y-intercept when x = 0 putting into the real equation:
[tex]h(x) = (0 +1)^2 - 4 \\\\y = 1 - 4\\\\y = -3[/tex]
Please find the graph file in the attachment.
HELP ASAP!! Need correct answer!
Answer:
10
Step-by-step explanation:
I just know. besides, it would take too long to write the explanation. Hope this helps :)
Answer:
it's 7 the answer
I calculate and I solve
Plss this my answer can help you
thank you
A bag contains 5 red marbles, 8 green marbles, 6 orange marbles, and 11 yellow marbles. What is the probability of randomly choosing an orange marble?
Answer:
2
please brainliest!
Answer:
1/5
Step-by-step explanation:
What is the length of CF? ASAP please!!!
Answer:
40
Step-by-step explanation:
Lucia is making blackberry jam. She starts with 25 cartons of blackberries. After making 9 jars of jam, she has 10 cartons of blackberries left. Lucia's jars all have the same capacity. Select true or false for each statement.
Answer:
A = true
B = false
C = false
D = True
Step-by-step explanation:
Cartons of blackberries = 25
Jars of blackberry jam made = 9
Cartons of blackberries left = 10
Cartons of blackberry used = Cartons of blackberries - Cartons of blackberries left
= 25 - 10
= 15
Cartons of blackberry used = 15
Cartons of blackberry used per jam = Cartons of blackberry used / Jars of blackberry jam made
= 15/9
= 5/3
A = true
15 jars of blackberry = Cartons of blackberry used per jam × jars of black berry made
= 5/3 × 15
= 75/3
= 25 cartons of blackberry
B = false
She can make 15 jars of blackberry jam using 25 cartons of blackberry
C = false
Cartons of blackberries left = 10
Number of blackberry jam made with 10 cartons of blackberry = Cartons of blackberries left / Cartons of blackberry used per jam
= 10 ÷ 5/3
= 10 × 3/5
= 30/5
= 6
D = True
Someone help- I don't know how to solve this- maybe my teacher typed it in wrong? 2.4(m - 3) = 3.8 = -8.2
Answer:
m = 4.58
Step-by-step explanation:
Given equation :
2.4 ( m - 3) = 3.8
So now we open the brackets and multiply the terms.
⇒ 2.4 m - 7.2 = 3.8
⇒ 2.4 m = 3.8 + 7.2
⇒ 2.4 m = 11
⇒ m = [tex]\frac{11}{2.4}[/tex]
⇒ m = 4.58
Therefore, the correct value of the variable m by solving the equation is 4.58
Solve using trial and error method.
-7x = 3
Answer:
-3/7
Step-by-step explanation:
Need help
: a^2-7a =0
Answer:
a = 0 or a = -7
Step-by-step explanation:
We are going to solve this quadratic equation by factorizing.
a² - 7a = 0
a(a - 7) = 0
a = 0 or a - 7 = 0
a = 0 or a = -7
Enter the number that goes in the green box
Answer:
the answer must be ±6
Step-by-step explanation:
√36 = ±6
Answer:
6 is the correct answer because✓36 is 6
Which equation of the line passes through the point (0,4) and is perpendicular to the lines whose equation is y=-1/2x + 3
Answer:
y = 2x+4
Perpendicular lines, when you multiply their gradient, you will get -1. You can also find the negative reciprocal, which is 2. The point (0,4) is the y intercept, which is for. Hence, the equation is y=2x+4
Hope this helps!
Are the ratios 15:10 and 3:2 equivalent
Answer:
Yes
Step-by-step explanation:
Here's why:
15 ÷ 5 = 3
10 ÷ 5 = 2
---------------------------------------------------------------------------------------------------------------
So: 15:10 = 3:2
---------------------------------------------------------------------------------------------------------------
Have a good day :)
pls i need all of you for asking this question and pls help me
Remmi wrote the equation of the line y = one-third (x + 2) He solved for x and got x = 3 y minus 2 Which of the following is an equivalent equation for x?
Answer:
x = 3y - 2
Step-by-step explanation:
Given the equation y = 1/3(x+2), we are to make x the subject of the formula;
y = 1/3(x+2)
Cross multiply
3y = x+2
Subtract 2 from both sides
3y - 2 = x+ 2 -2
3y - 2 = x
Swap
x = 3y - 2
This give the required equation
Answer:
hope this helped ^-^
Step-by-step explanation:
PLEASE HELP! VERY EASY
Answer:
3RD
Step-by-step explanation:
The level of the tide in a harbor changes from 813 8 1 3 feet to 256 2 5 6 feet above sea level over a period of 212 2 1 2 hours. What is the change in tide level per hour over this period of time? Feet per hour
Answer:
-2.63 ft./hour
Step-by-step explanation:
The level of the tide in a harbor changes from 813 feet to 256 feet above sea level over a period of 212 hours. What is the change in tide level per hour over this period of time?
Solution:
The initial tide level was 813 feet while the final tide level was 256 feet above sea level within a period of 212 hours.
The change in tide level per hour is the ratio of the change in tide level to the period taken. Hence:
Change in tide level per hour = (Final tide level - initial tide level) / time taken
Change in tide level per hour = (256 ft. - 813 ft.) / 212 hours
Change in tide level per hour = -2.63 ft./hour
What is the approximate value of tan C?
Answer:
B. 0.38
Step-by-step explanation:
Tan = Opposite/Adjacent
Opposite of angle C = 5 and adjacent = 13
Hence tan C = 5/13 = .38
Answer:
Step-by-step explanation:
Remark
You are given a right angle triangle, so it is possible to define the Tangent directly.
Definition
The tangent = opposite side / adjacent side.The opposite side (AB) is the side not connect to the angle's vertex (C)The adjacent side (BC) is the side that is connect to the angle's vertex (C). It is not the longest side in triangle. The hypotenuse (BC) is the longest side.Solution
Opposite Side = 5
Adjacent side = 13
Tan(C) = 5/13 = 0.3846
Which is a different way to express 2w?
What is the absolute value of the distance from the numbers -6 to 5?
Answer: 11
Step-by-step explanation:
It is 11 because count from -6...
-6 = 0
-5 = 1
-4 = 2
-3 = 3
-2 = 4
-1 = 5
0 = 6
1 = 7
2 = 8
3 = 9
4 = 10
5 = 11
Hope this helpsand sorry if not
10 points:) please help i keep getting the wrong answer
Answer:
Step-by-step explanation:
There are three surfaces to add up to.
A1, the top surface of the cone (r=1,h=2)
A2, The curved surface of the cylinder (r=1 , h = 13-2 = 11)
A3, The circular base of the cylinder (r=1)
The slant height of the cone, s = sqrt(1^2+2^2), s = sqrt(5)
The length (circumference of the base), l = 2 pi r = 2pi r = 2pi
The area is
A1 pi s l = pi * sqrt(5) (2 pi r) = 2(pi^2)sqrt(5)
The curved surface has an area of
A2 = 2 pi r h = 2pi (1)(11) =22pi
The base has an area of
A3 = pi r^2 = pi
Total area = A1+A2+A3 = 2sqrt(5) (pi^2) + 22pi + pi
= 2sqrt(5) pi^2 + 23pi
= 116.4 m^2 approx.
Let’s say you don’t invest at all, and just put $6000 under your mattress every year. How much money will you have in 40 years?
help please!!!
What is the relationship between the angles that are formed by two intersecting lines?
Hi there!
Adjacent angles, or angles that are next to each other, add up to 180 degrees. They are supplementary.
Examples: 1 and 4, 3 and 4, 2 and 3, 1 and 1
Opposite angles, or angles that are opposite of each other, have the same measure.
Examples: 1 and 3, 2 and 4
I hope this helps!
what is the ordered pair for 90 degrees on a unit circle
Please help (: First to get the question will get brainliest.
Answer:
a
Step-by-step explanation:
:) for sure
if x mangoes cost m cents then the cost of one mango
Answer:
m/x cents
Step-by-step explanation:
Cost of 1 mango = Total cost/total number of mangoes
= m/x cents
A watercolor painting is 19 inches long by 11 inches wide. Ramon makes a border around the watercolor painting by making a mat that adds 1 inch to each side of the length and the width. What is the area of the mat?
Answer:
240 [tex]inches^{2}[/tex]
Step-by-step explanation:
11 + 1 = 12
19 + 1 = 20
12 x 20 = 240
John has 8 cards that spell the word H O M E W O R K. She shuffles them and then places them face down. Assume she returns the card on each occasion.
b) What is the probability she will choose a consonant?
Answer:
The probability that I will choose a consonant is 62.50%.
Step-by-step explanation:
Given that John has 8 cards that spell the word H O M E W O R K, and he shuffles them and then places them face down, to determine what is the probability he will choose a consonant the following calculation must be performed:
Vowels: 3
Consonants: 5
5/8 = X
0.625 = X
0.625 x 100 = 62.50
Therefore, the probability that I will choose a consonant is 62.50%.
What Has a central point that stays fixed and everything else moves around that point in a circle- full rotation is 360 degrees.
Answer:
Rotary motion.
Step-by-step explanation:
Motion describes the movement of objects with respect to time.
When an object performs a circular or rotary motion, every point on the object moves around a central point in a continuous manner. Examples of objects that performs circular motion are: blades of an electric fan, rotation of the earth about its axis, the wheel of a moving bicycle etc.
From the cited examples, it would be observed that all points on the objects moves around a fixed central point.
Function Q: y =1/3x + 2 Identify function Q as linear or nonlinear. State a reason why it is linear or nonlinear.
Answer:
A linear function is written in slope-intercept form as:
y = a*x + b
Where a is the slope and b is the y-intercept.
So any function of this shape, is a linear function, such that when graphed it is a straight line.
In this case, the function you wrote is:
Q: y = 1/3x + 2
Now, if the function is exactly what you wrote, then x is in the denominator:
y = 1/(3*x) + 2
Clearly, this is different than the general linear equation you can see above (here the variable is in the denominator) then in this case Q is non-linear.
If instead, the actual function Q is:
Q: y = (1/3)*x + 2
Then this is a linear equation, where the slope is 1/3 and the y-intercept is 2.