Answers
Answer:
8
Step-by-step explanation:
Use Basic Thales theorem,
[tex]\frac{24}{x}=\frac{36}{12}\\[/tex]
Cross multiply
24 * 12 = 36 * x
[tex]x = \frac{24*12}{36}\\\\[/tex]
x = 8
Related Questions
What is the domain of the function on the graph?
Answers
Answer:
Step-by-step explanation:
Domain covers x values only (where range covers y values only). Domains are stated from the absolute lowest x value included on the graph to the highest. Looking at our graph, we have a solid dot at x = -3, and there is no part of the graph that goes to the left of -3. So -3 is the absolute lowest x value on the graph. When you follow the blue graph, you notice that it goes off the graph "paper" and does not have a solid dot at the tail end of it. This means that the graph will go on forever. This implies infinity, which looks like this: ∞
The lowest x value is -3 and the highest is ∞ so there are a couple of ways in which you can state this:
D = {x | -3 ≤ x < ∞} or D = {x ≥ -3} Either one will work
5x+y=2 4x+y=4
how do i solve this?
Answers
[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]
See this attachment
[tex]\boxed{\boxed{\sf{x=-2~and~y=12 }}}[/tex]
[tex]\frac{x+4}{2} -\frac{3}{x-3} =1[/tex]
Quadratics null factor the given answer is x= 4,−3 but I don't know how to work it out
Answers
Answer:
Hello,
Step-by-step explanation:
[tex]x\neq 3\\\\\dfrac{x+4}{2} -\dfrac{3}{x-3} =1\\\\\dfrac{(x+4)(x-3)-2*3-2(x-3)}{2(x-3)} =0\\\\x^2+4x-3x-12-6-2x+6=0\\\\x^2-x-12=0\\\\x^2-4x+3x-12=0\\\\x(x-4)+3(x-4)=0\\\\(x-4)(x+3)=0\\\\x=4\ or\ x=-3\\[/tex]
A sphere has a radius of 8cm.Find its volume
Answers
Answer:
[tex]\displaystyle V = \frac{2048 \pi}{3} \ cm^3[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Volume of a Sphere Formula: [tex]\displaystyle V = \frac{4 \pi}{3}r^3[/tex]
r is radiusStep-by-step explanation:
Step 1: Define
Identify variables
r = 8 cm
Step 2: Find Volume
Substitute in variables [Volume of a Sphere Formula]: [tex]\displaystyle V = \frac{4 \pi}{3}(8 \ cm)^3[/tex]Evaluate exponents: [tex]\displaystyle V = \frac{4 \pi}{3}(512 \ cm^3)[/tex]Multiply: [tex]\displaystyle V = \frac{2048 \pi}{3} \ cm^3[/tex]Answer:
sphere
Step-by-step explanation:
volume of a sphere = 4/3πr³
= 4/3*22/7 * 8³
= 2145.5
Dan bought x pounds of potatoes for $0.85 per pound and y pounds of grapes for $1.29 per pound. The total cost was less than $5. Which inequality represents his purchase?
1.29x + 0.85y < 5
1.29x + 0.85y > 5
0.85x + 1.29y > 5
0.85x + 1.29y < 5
Answers
Answer:
it's D
Step-by-step explanation:
The inequality that represents Dan's purchase is 0.85x + 1.29y < 5.
The correct option is D.
What is inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.
The cost of x pounds of potatoes at $0.85 per pound is 0.85x dollars.
The cost of y pounds of grapes at $1.29 per pound is 1.29y dollars.
The total cost of the purchase is the sum of these costs, which is:
0.85x + 1.29y
The inequality that represents the total cost being less than $5 is:
0.85x + 1.29y < 5
So, the correct answer is 0.85x + 1.29y < 5.
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What is the midpoint of (-5,2) and (2,-7)
Answers
Answer:
[tex]\displaystyle (\frac{-3}{2},\frac{-5}{2})[/tex]
General Formulas and Concepts:
Algebra I
Coordinates (x, y)Midpoint Formula: [tex]\displaystyle (\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})[/tex]Step-by-step explanation:
Step 1: Define
Identify
Point (-5, 2)
Point (2, -7)
Step 2: Find Midpoint
Simply plug in your coordinates into the midpoint formula to find midpoint
Substitute in points [Midpoint Formula]: [tex]\displaystyle (\frac{-5 + 2}{2},\frac{2 + -7}{2})[/tex]Simplify: [tex]\displaystyle (\frac{-3}{2},\frac{-5}{2})[/tex]Pls help pls help pls help pls help
Answers
Answer:
Step-by-step explanation:
first option duhh
Angle ADB and CD are straight lines.
angle ADC = 5 x angle CDB
Work out the size of angle ADC.
Answers
Answer:
150 degrees
Step-by-step explanation:
5 + 1 = 6
180 : 6 = 30
30 x 5 = 150
PLEASE HELP!!
A 16 ft ladder is propped up against a building at an angle of 52°. How far up the wall does the ladder go?
a. 20.3 ft
b. 9.9 ft
c. 25.9 ft
d. 12.6 ft
Answers
Answer:
The correct answer is a) 12.6 ft
Step-by-step explanation:
I took the test and got it right:)
The branch of mathematics deals with the relations of the sides and angles of triangles and with the relevant functions of any angles. The ladder goes at a height of 12.6082 feet.
What is trigonometry?The branch of mathematics deals with the relations of the sides and angles of triangles and with the relevant functions of any angles.
Given that the length of the Ladder is 16 feet while the angle between the ladder leaning against the wall is 52°.
Trigonometric Ratios are the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.
Using Trigonometric Ratios of sin because of opposite over hypotenuse,
sin ∅=perpendicular/hypotenuse
sin(52) = x/16
16sin(52) = x
By calculating,
x = 12.6082 feet
Hence, the ladder goes at a height of 12.6082 feet.
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Plz someone do this for me I’ll give a lot of points
Answers
Answer:
RW is congruent to WX
Step-by-step explanation:
We know that PW and WV and Angle W is vertical angle so We need to include that RW congruent to WX.
How many L of a 10% alcohol solution must be mixed with 9l of a 80% alcohol solution to make a 55% solution
Answers
Answer:
Step-by-step explanation:
The best thing to do for these solution/mixture problems is to make a table:
#L * %alcohol = L alcohol
10% sol.
+ 80% sol.
55% sol.
In this way, we can keep track of our information AND figure out the equation we need to use to solve it. Notice first, the equation along the top of the table:
#L * %alcohol = L alcohol This tells us that we are multiplying the #L column times the %alcohol column to get the L alcohol column. Notice second, that there is a + sign to the far left, indicating that we are ADDING rows 1 and 2 together to get the mix. Let's start filling this in. The easy part is the % alcohol column. 10% alcohol has .10 alcohol as a decimal, likewise for the 80% and 55%:
#L * %alcohol = L alcohol
10% sol. .10
+ 80% sol. .80 =
55% sol. .55
Now to fill in the first column. We know that our unknown, from the problem, is the number of Liters, #L in the 10% solution, so that is x, and we also know that we have 9 L of the 80% alcohol. Filling that in:
#L * %alcohol = L alcohol
10% sol. x * .10
+ 80% sol. 9 * .80
55% .55
Now look back at the + sign. We are told that we are mixing the 10% with the 80%, so we are adding them together. So let's do that. We will also follow the rule for the table and multiply the first column times the second column to fill in the last column to complete the table:
#L * %alcohol = L alcohol
10% sol. x * .10 = .10x
+ 80% sol. 9 * .80 = 7.2
55% sol. (9 + x) * .55 = .55x + 4.95
If we add the 2 solutions together to get the new solution in the first column, we will also add the L alcohol in the last column to get our equation:
.10x + 7.2 = .55x + 4.95 and
- .45x = - 2.25 so
x = 5L
We need 5 Liters of the 10% solution if we want to mix that with 9L of 80% solution to get 14 L of 55% solution.
WE AIN'T LEARN THIS IN CLASS I'M GONNA CRY
Answers
Answer:
3x-6 Its is B
Step-by-step explanation:
We know that x is an even number. we have 2 even numbers which are consecutive. For example. If x was 6. the 2 before numbers would be 4 and 2. So the formula is x+(x-2)+(x-4). (-4)+(-2)=-6. In total there are 3x. So the answer would be 3x-6. Hope this helped ^^.
what multiplies to get 56 and adds to get 15
Answers
Answer:
8 & 7
Step-by-step explanation:
x*y = 56
x+y = 15
y = 15-x
x(15-x)=56
15x-x^2 = 56
x^2 -15x + 56 = 0
Factored Form: y= (x-8)(x-7)
5. Find the measures of the following. Round to the nearest whole number. (2 points)
a. "HT
H
b. 2T
15 cm
c.
ΖΗ
W
8 cm
T
Answers
[tex] \\ \sf \longmapsto \: HT=√15^2+8^2[/tex]
[tex] \\ \sf \longmapsto \: HT=√225+64[/tex]
[tex] \\ \sf \longmapsto \: HT=√289[/tex]
[tex] \\ \sf \longmapsto \: HT=17cm[/tex]
Solution:-2Angle T=15x
Let others be 8x and 17x
[tex] \\ \sf \longmapsto \: 8x+17x+15x=180[/tex]
[tex] \\ \sf \longmapsto \: 40x=180[/tex]
[tex] \\ \sf \longmapsto \: x=\dfrac{180}{40}[/tex]
[tex] \\ \sf \longmapsto \: x=4.5[/tex]
[tex] \\ \sf \longmapsto \: 15x=15(4.5)[/tex]
[tex] \\ \sf \longmapsto \: \angle T=67.5°[/tex]
Solution:-3[tex] \\ \sf \longmapsto \: \angle H=8x[/tex]
[tex] \\ \sf \longmapsto \: \angle H=32.5°[/tex]
Which is the graph of f(x) = (x - 1)(x + 4)?
6
4
2
2
22
2
4
6
2
B42
2
O
O
4
2
2
Answers
Answer:
Graph DStep-by-step explanation:
f(x)=(x-1)(x+4
roots x=1,-4,
x=0, y=-4
OAmalOHopeO
Simplify the expression 5(x-3)(x^2+4x+1)
Answers
Simplify the expression 5(x-3)(x^2+4x+1)
it would be I think answer number 3
A box contains 6 red, 3 white, 2 green, and 1 black (in total 12) identical balls. What is the least number of balls necessary to take out randomly (without looking) to be sure of getting at least two white balls?
Answers
Answer:
Pick at least 4 balls to be sure that you are getting balls with the same color.
Step-by-step explanation:
Here, you want to know the least number of balls to be taken out of the box to be sure that you have all the three colors represented.
You know there are 12 identical balls, with the least numbers of balls being 1 and 2. Hence, to be able to know you have all the colors of balls represented, you will need to have taken all the less represented ones i.e the 1 and 2 , and this means that the next number of ball which would be taken will confidently confirm that you have taken all the colors since you would have exhausted picking other balls at this point.
So you shall be needing at least 4 balls picked to ensure that you have all the colors represented
Grade improvement and study motivation
Answers
Answer:
yes because we are leraning new things
Which number belongs to the solution set of the equation?
x + 3 = 45
A. 15
B. 48
C. 43
D. 42
Answers
Answer:
D
Step-by-step explana
[tex] \sf \: The \: value \: of \: x \: is \: the \: number \: that \: belongs \: to \: the \: solution \: \\ \sf \: set \: of \: the \: equation. \: So \: we \: need \: to \: find \: x.[/tex]
[tex] \sf \: x + 3 = 45 \\ \sf \: x = 45 - 3 \\ \sf \: x = \underline{42}[/tex]
Answer ⟶ [tex]\boxed{\bf{D.42}}[/tex]
Karma was given some birthday money. She puts money in an account. Every month after that, she deposits the same amount of money. The equation that models this situation is y=75x+60, where y is the amount of money in the account and x is the number of deposits. What does the y-intercept mean in this situation
Answers
Answer:
y represents the amount in the bank account after 7 months.
Step-by-step explanation:
Let karma gets x money on his birthday.
He has 60 in his account initially
He deposits teh same money for the seven months
So, the money he has after the seven months is 7 x + 60
According to the question,
y =7 x + 60
It shows that the amount after seven months is y.
10)
Ka
The longer base of a trapezoid has endpoints of (-2,- 4) and (4,0). The shorter base contains the point (3, 1).
(40)
(2)
We an equation of the line that contains the shorter base of the trapezoid. Provide valid mathematical reasoning and calculations to
you derived your equaiton.
of a trapezoid are parallel
Suation and explanation in the space provided.
Math symbols
Relations
Geometry
Answers
Answer:
y = 2·x/3 - 1
Step-by-step explanation:
The endpoints of the longer base of the trapezoid = (-2, -4), and (4, 0)
The point contained on the shorter base = (3, 1)
The slope of the line representing the longer base, m, is given as follows;
m = (0 - (-4))/(4 - (-2)) = 2/3
The slope of the shorter base = The slope of the longer base = m = 2/3
The equation of the line representing the shorter base in point and slope form is therefore;
y - 1 = (2/3)·(x - 3)
∴ y = 2·x/3 - 2 + 1 = 2·x/3 - 1
The equation of the shorter side of the trapezoid is y = 2·x/3 - 1
In a fruit cocktail, for every 15 ml of orange juice you need 5 ml of apple juice and 50 ml of coconut milk. What is the ratio of apple juice to coconut milk to orange juice expressed in its simplest form?
Answers
Answer:
1:10:3
Step-by-step explanation:
A box contains eight cards labeled P, Q, R, S, T, U, V, and W. One card will be randomly chosen.
What is the probability of choosing a letter from Q to W?
Write your answer as a fraction in simplest form.
Answers
Answer:
7/8
Step-by-step explanation:
Probability= (Cards having letter Q to W)/(All cards) = 7/8
Which shows a difference of squares?10 y squared minus 4 x squared16 y squared minus x squared8 x squared minus 40 x 2564 x squared minus 48 x 9
Answers
Answer:
16 y squared minus x squared
Step-by-step explanation:
The other all expressions except 16y²-x² doesn't complete the square and its difference. Then we can check 16y²-x²,
Now take the expression 16y²-x² and we can try to solve it.
We can simplify the terms separately to associate them as perfect squares,
→ 16y² = (4y)² --- (1)
→ x² = (1x)² --- (2)
Now we can take the difference of eq. (1) and eq. (2),
→ 16y²-x²
→ (4y)²-(1x)² --- (3)
Now eq. (3) shows a difference of squares.
Another representation is,
→ (4y - x) (4y + x)
→ 16y²- x²
→ (4y)²- (1x)²
Therefore, the expression 16y²-x² shows a correct difference of squares.
Answer:
its b trust
Step-by-step explanation:
Question 4 of 25
Suppose a normal distribution has a mean of 62 and a standard deviation of
4. What is the probability that a data value is between 58 and 64? Round your
answer to the nearest tenth of a percent.
A. 53.3%
B. 54.3%
C. 52.3%
D. 51.3%
Answers
Answer:
Step-by-step explanation:
We are looking for P(58 < x < 64). We need to find the percentage to the left of the z-scores for each of these numbers. To find the z scores, use the formula:
[tex]z=\frac{x_i-\bar{x}}{\sigma}[/tex]
[tex]z=\frac{58-62}{4}[/tex] which gives us a z-score of -1. The percentage of numbers to the left of a z-score of -1 is .1586553
Now for the other z-score:
[tex]z=\frac{64-64}{4}[/tex] which gives us a z-score of .5. The percentage of numbers to the left of a z-score of .5 is .69146246
The lower percentage subtracted from the higher gives the area in question:
.69146246 - .1586553 = .53280716, or as a percentage, 53.3%, choice A.
What’s 4 divided by $5.32
Answers
Answer:
0.752
Step-by-step explanation:
Findthe area of a quadrilateral ABCD in which AB=3cm,BC=4cm,CD=4cm,DA=5cm, and AC=5cm
Answers
Answer:
21cm
Step-by-step explanation:
3+4+4+5+5
I so
XYZ medication 250 mg , 2 tabs qid x 14 days. How many tablets will be dispensed from the pharmacy?
Answers
Answer:
112
Step-by-step explanation:
qid means 4 times a day. So 2 x 4 is 8. Then multiply that by 14 and you get 112.
112 tablets will be dispensed from the pharmacy such that [tex]XYZ[/tex] medication [tex]250[/tex] mg, [tex]2[/tex] tabs qid for [tex]14[/tex] days.
Unitary MethodThe unitary method is a process to find the value of multiple units from the value of a single unit.
How to determine the number of tablets dispensed?[tex]2[/tex] tabs qid means [tex](2[/tex] × [tex]4)[/tex] [tex]= 8[/tex] tabs per day will be required as per prescribed medication.
So, in [tex]14[/tex] days, the number of tabs required [tex]= 8[/tex] ×[tex]14 = 112[/tex].
Thus, 112 tablets will be dispensed from the pharmacy.
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The cost to rent a bike at the beach is $6.75 an hour plus an insurance fee of $15. Marcia spent $48.75 when renting a bike on a recent trip to the beach. For how many hours did Marcia rent the bike?
Answers
Answer:
5 hours
Step-by-step explanation:
Help pls
1) 4 1/5 of 8 2/10 is what number ?
2) At the end of the day, only 3/5 of the loaves were sold. If 900 loaves were not sold, how many loaves were there in all?
(A)1500 (B)540 (C)360 (D)2250
Answers
Answer:
below
Step-by-step explanation:
therefore 2250 loaves where'nt sold
Answer:
1) The answer is 34.44 OR 34 and 11/25
Step by step:
21/5 * 82/10
1722/50
=34 11/25
=34.44
Answer:
2) The answer is 2250
900 is 2/5 find 5/5
900/2 = 450
450*3 = 1350
1350+900 = 2250
