Answer:
where is the graph?........
Please help! I need to work out the size of angle x.
Answer:
50+x=120°{ sum of interior angle of a triangle is equal to the exterior opposite angle of a trianglex=120-50x=70°hope it helps.
Step-by-step explanation:
50 + x =120
x = 120 -50
x = 70
The James used their sprinkler for 40 hours last month and the Jenkins used their sprinkler for 35 hours. The total output of the two houses was 1525 L. If their combined rate of usage was 40 L/hr, what is the rate of usage for each house?
Answer:
Step-by-step explanation:
.................8908989
an 18 foot ladder rests against molding at the top of 15 feet building. what is the angle of elevation from the ground to the top of the ladder? Round to the nearest degree.
The angle of elevation is ____
Answer:
To find the angle of elevation, we can use the inverse tangent function (arctan). The angle of elevation is the angle between the ground and the line of sight from the ground to the top of the ladder.
Let's calculate it:
Angle of elevation = arctan(opposite/adjacent)
Angle of elevation = arctan(15 feet / 18 feet)
Using a calculator or table of trigonometric functions, we can find the arctan of (15/18) to be approximately 41.19 degrees.
Rounded to the nearest degree, the angle of elevation from the ground to the top of the ladder is 41 degrees.
Step-by-step explanation:
Help please!
A crate filled with 20 cartons of gatore weights 11.45 kg. the crate, when empty, weights 5.6 kg. how many kg does each carton of gatore weight?
[I want to set up an equation for the word problem]
Answer:
equation: 11.45 = 5.6 +20wsolution: w = 0.2925 . . . kgStep-by-step explanation:
Let w represent the weight of one carton of gatore. The total weight will be the sum of the empty weight and the weight of 20 cartons:
11.45 = 5.6 +20w . . . . . an equation for the word problem
__
To solve the problem, we can subtract 5.6, then divide by 20
5.85 = 20w
5.85/20 = w = 0.2925 . . . . kg
Each carton of gatore weighs 0.2925 kg.
What is the area of the circle above?
Answer:
201.6
i think
Answer: I am pretty sure its A
Step-by-step explanation:
in coin changing problem, show that the greedy strategy fails for the denominations 25, 20, 10, 5, and 1 cents. (hint: prove that we cannot construct the solution by making decisions to choose each item to add to the solution optimally, and never reversing decisions already made
In coin changing problem, the greedy strategy fails for the denominations 25, 20, 10, 5, and 1 cents.
The greedy algorithm for the coin change problem (pay a certain amount with the fewest number of coins feasible) is effective. It always chooses the coin with the largest denomination that does not exceed the remaining sum, and it consistently determines the right answer for certain coin sets.
But for certain set of denominations, it fails. For example take a sum of 44 cents then by greedy algorithm, first taking the highest denominations one 25 cent is taken and now 19 is remaining. So now one 10 cent is taken, and 9 is remaining. Now, one 5 cent is taken and four 1 cent is taken. So total we get 7 coins.
Now let us deviate from greedy algorithm and take two 20 cents, now 4 is remaining. So now four 1 cent is taken, this sums up only 6 coins. So this is a much optimal solution than the one obtained by greedy algorithm.
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(3a to 3rd power - 5b to 3rd power) + ? 3/a + ? b to the 3rd power = (3/a + b to the 3rd power)
The simplification of the algebraic fraction equation given as 3a³ - 5b³ + (3/a) + b³ is; (3/a)(a⁴ + a) - 4b³
How to solve Algebraic Fractions?
We want to solve the algebraic fraction equation given as;
3a³ - 5b³ + (3/a) + b³
Rearranging the algebra to get;
(3a³ + (3/a)) + b³ - 5b³
Factorizing out 3/a and simplifying gives;
(3/a)(a⁴ + a) - 4b³
This is the final part for the simplification of the given algebraic fraction. Thus, we can conclude that the simplification of the algebraic fraction equation given as 3a³ - 5b³ + (3/a) + b³ is; (3/a)(a⁴ + a) - 4b³
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The coordinates of the turning point of the parabola whose
equation is y = x² - 6x + 8
Answer:
y=×2-6×+7 is the answer
Select all the points that are on the graph of the line 2x+8y= 16,
a.
(0,2)
b. (0,4)
C. (1,2)
d. (1,4)
e. (4,1)
f. (8,0)
Answer:
Step-by-step explanation:
a, e, f
Determine the value of the expression -3.75 +4.35 -6.55.
-3.75 +4.35 -6.55
-3.75 + 4.35 = 0.6
0.6 - 6.55 = - 5.95
- 3.75 + 4.35 - 6.55 = - 5.95
Which number is equivalent to 7/11
?
The equivalent fractions of 7/11 are 14/22, 21/33, 28/44 and 35/55
There are infinitely many numbers equivalent to 7/11
since 7/11 is a fraction that can be simplified in different ways.
We can multiply the numerator and denominator with the same number to get the equivalent fractions
7/11×2/2 = 14/22
7/11×3/3= 21/33
7/11×4/4 =28/44
7/11×5/5 =35/55
Hence, the equivalent fractions of 7/11 are 14/22, 21/33, 28/44 and 35/55
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A fruit stand has to decide what to charge for their produce. They need \$10$10dollar sign, 10 for 4 apples and 4 oranges. They also need $12 for 6 apples and 6 oranges. We put this information into a system of linear equations.
Can we find a unique price for an apple and an orange?
Answer:
no
Step-by-step explanation:
The prices are inconsistent, so there is no unique price that can be set for either an apple or an orange that will give the total prices indicated.
__
The first relation can be written as ...
$10 = 4A +4O
$10 = 4(A +O) . . . . factor out 4
$2.50 = A +O . . . . divide by 4
The second relation can be written as ...
$12 = 6A +6O
$12 = 6(A +O) . . . . factor out 6
$2 = A +O . . . . . . . divide by 6
These two relations give different prices for 1 apple and 1 orange. There is no price that can be set for either fruit that will give this result.
No unique prices can be assigned.
x/4 = 12
Please help
How many paths are there from $A$ to $B,$ if you travel along the edges? You can travel along each edge at most once, but you can pass through the same point more than once. (You can pass through $B,$ as long as you end up at the point $B.$)
Answer:
9
Step-by-step explanation:
You don't need to pass through each edge once.
If we name the top vertex 1 and the bottom vertex 2 then here are the possible combinations:
A-1-B
A-B
A-2-B
A-1-B-A-2-B
A-2-B-A-1-B
A-B-1-A-2-B
A-B-2-A-1-B
A-1-B-2-A-B
A-2-B-1-A-B
Some people say 6 because they think you need to pass through all the edges. But the only restriction with travelling on the edges is you can't pass one twice. The point is read the wording and it becomes easy.
Hope this helps!
10. Aman plans to spend his January salary as
15%, Clothing 20%, Health 15% and
Miscellaneous 10%. If the budget for
clothing amounted to GH¢300.00, what is
the total income of the man in January?
Prepare his monthly budget.
Answer:
11828282828282838383838383838
Can y’all pls solve this
Answer:
1.
x=2+5x=0+7x=4x+1+37x=x+2+42.
x=2-33x=-2-4x=2x+7-5x=4x+6-7A signal flare is fired into the air from a boat. The height h of the flare in feet after t seconds is h = -16t2 + 160t. How high will the flare travel? When will it reach this maximum height? When will the flare hit the water? After 8 seconds is the flare going up on coming down? How high is it at that time? Approximately how many seconds is the flare above 250 feet? Summary of what’s happening in the problem
The equation that models the height of the flare is a quadratic equation, then the maximum height corresponds to the vertex.
The vertex of a quadratic equation is found as follows:
\(t_V=\frac{-b}{2\cdot a}\)where a and b are the first two coefficients of the quadratic equation, and tv is the time at which the maximum height is reached. In this case, a = -16, and b = 160, therefore:
\(\begin{gathered} t_V=\frac{-160}{2\cdot(-16)} \\ t_V=\frac{-160}{-32} \\ t_V=5\text{ seconds} \end{gathered}\)To find the height we need to replace this time t into the equation as follows:
\(\begin{gathered} h_V=-16t^2_V+160t_V \\ h_V=-16\cdot5^2+160\cdot5 \\ h_V=-400+800 \\ h_V=400\text{ ft} \end{gathered}\)How high will the flare travel? 400 ft.
When will it reach this maximum height? After 5 seconds.
If the flare hits the water, the heigh is of the flare is zero, then:
\(\begin{gathered} h=-16t^2+160t \\ \text{ Taking 16t as common factor} \\ 0=16t(-t+10) \\ \text{ This equation has two solutions:} \\ 16t=0 \\ t_1=0 \\ Or \\ -t+10=0 \\ 10=t_2 \end{gathered}\)When will the flare hit the water? After 10 seconds
After 8 seconds is the flare going up on coming down? Going down. 8 seconds comes after the maximum height and before the flare reaches the water.
To find the height at time = 8 seconds, we need to replace this time t into the equation as follows:
\(\begin{gathered} h=-16\cdot8^2+160\cdot8 \\ h=-1024+1280 \\ h=256\text{ ft} \end{gathered}\)How high is it at that time? It is at 256 ft high.
To find the time elapsed when the height, h, is 250 ft, we need to replace this value into the quadratic equation and solve for time, t.
\(\begin{gathered} 250=-16t^2+160t \\ 0=-16t^2+160t-250 \end{gathered}\)Using the quadratic formula:
\(\begin{gathered} t_{1,2}=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ t_{1,2}=\frac{-160\pm\sqrt[]{160^2-4\cdot(-16)\cdot(-250)}}{2\cdot(-16)} \\ t_{1,2}=\frac{-160\pm\sqrt[]{9600}}{-32} \\ t_1\approx\frac{-160+98}{-32}\approx1.9\text{ seconds} \\ t_2\approx\frac{-160-98}{-32}\approx8\text{ seconds} \end{gathered}\)The flare reaches this heigth after approximately 1.9 seconds, after this, it is above this height until 8 seconds elapsed from the beginning.
Approximately how many seconds is the flare above 250 feet? 6.1 seconds (= 8 - 1.9).
Summary of what’s happening in the problem. At the beginning the flare is at the level of the water (at t = 0, h = 0). Then its height, h, starts to increase until it reaches its maximum of 400 ft high, after 5 seconds (when t = 5, h = 400). Next, the flare starts to fall down until it reaches the water, this happen after 10 seconds (at t = 10, h = 0).
The function F is given in 3 equivalent forms.
Which form most quickly reveals the y intercept?
Look at image below
Part 2: what is the y intercept?
The form that most quickly reveals the y intercept is
B f(x) = 1/2 x² - 5x + 21/2The y intercept is (0, 21/2)
What is y-intercept?The y-intercept is the point where a function or a curve intersects the y-axis. In other words, it is the value of the dependent variable (y) when the independent variable (x) is equal to zero.
In the form, f(x) = 1/2 x² - 5x + 21/2 it is easier to see that eliminating x by plugging in 0 leaves 21/2 which is the y intercept
hence we can easily say that the y intercept is (0, 21/2)
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\(1/3x(6x-1)\)
Ten and one third minus seven and two thirds
10 and 1/3 minus 7 and 2/3 is equal tο 8/3 οr 2 and 2/3.
What is the fractiοn?In Maths, a fractiοn is used tο represent the pοrtiοn/part οf the whοle thing. It represents the equal parts οf the whοle. A fractiοn has twο parts, namely the numeratοr, and denοminatοr. The number οn the tοp is called the numeratοr, and the number οn the bοttοm is called the denοminatοr.
Tο subtract 7 and 2/3 frοm 10 and 1/3, we can write bοth as imprοper fractiοns with a cοmmοn denοminatοr and then subtract:
10 and 1/3 - 7 and 2/3 = (31/3) - (23/3)
Tο subtract these fractiοns, we need a cοmmοn denοminatοr, which is 3. We can rewrite the fractiοns with the cοmmοn denοminatοr οf 3:
(31/3) - (23/3) = (31 - 23)/3 = 8/3
Therefοre, 10 and 1/3 minus 7 and 2/3 is equal tο 8/3 οr 2 and 2/3.
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Complete question:
Convert the given sentence in to an algebraic expression and solve. Ten and one third minus seven and two thirds
If cm on a map represents 20km on the ground ,how far apart are two villages that are 0.5cm aprt on the map?
Answer: 10 km
Step-by-step explanation:
20 km = 1 cm
villages are 0.5 cm apart
0.5+0.5=1
20/2= 10
so 10 km.
Help with this please.....
3=c/-11
a.33
b.-33
c.-14
d.14
Hii please answer i would appreciate it thankssss
Answer:
Just some background:
Congruent means that a triangle has the same angle measures and side lengths of another triangle.
SAS congruence theorem: If two sides and the angle between these two sides are congruent to the corresponding sides and angle of another triangle, then the two triangles are congruent. Congruent triangles: When two triangles have the same shape and size, they are congruent.
Let's look at A first.
The triangle on left, we know 40 and 30 degree angles. So 3 all angles together = 180, so the 3rd angle = 180-30-40 = 110.
Now look at the triangle on the right. The angle shown is 110! This angle is between the sides marked with || and ||| marks, indicating that those two sides are the same length between both triangles.
Therefore both triangles are the same by Side-Angle-Side or SAS.
Now look at B.
It's a right triangle. We are missing 1 side of each triangle.
Let's solve for the missing "leg" of the triangle on the right. The pythagorean theorem says that a^2 + b^2 = c^2 where a and b are the 'legs' or sides of the triangle and c is the hypotenuse (always the longest length opposite the right angle).
so 2^2 + b^2 = 4^2
4 + b^2 = 16
b^2 = 16-4
b^2 = 12
That missing side is the \(\sqrt{12}\).
This does NOT match the triangle on the left.
Theses two triangles are NOT congruent.
Type the expression that results from the following series of step
Start with Z, subtract y, then divide by x.
Answer:
z-y/x
Step-by-step explanation:
then z
then z-y
z-y/x
Solve 3[-x + (2x+ 1)] =X- 1.
x= ?
Answer:
x= -2
Step-by-step explanation:
Write an equation for the word problem below.
"The YMCA summer camp charges registration fee of $40 and then charges $100 per week of camp."
Y = [blank] x + [blank]
Y = MX + B
Answer:
The equation is in slope-intercept form, Y = MX + B, where M is the slope and B is the y-intercept. In this case, the slope is 100 and the y-intercept is 40.
I hope that helps!
Step-by-step explanation:
The equation for the word problem is Y = 100x + 40.
Where Y is the total cost of the summer camp, x is the number of weeks of camp, 100 is the cost per week of camp, and 40 is the registration fee.
Find the area of the triangle.
3).
Answer:
86.60254
Step-by-step explanation:
30-60-90 triangle, which means that the base is 10. 1/2(10)(10 rt 3). Simplify answer as needed :)
What is the vertical displacement of the basic graph to produce a graph of
OA Sunits down
B. 2 units down
OC units down
OD
units up
SUBMIT
The vertical displacement is of 2 units down, the correct option is B.
What is the vertical displacement?Remember that for a function f(x), a vertical displacement of N units is written in general form as:
g(x) = f(x) + N
If N > 0, the translation is upwards.
if N < 0, the translation is downwards.
Here we assume that we start with the parent cosine function:
y = cos(x)
And the transformed function is:
y = -2 - cos(x - π)
So we have some transformations, but the vertical translation is of 2 units down. So the correct option is B.
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Which number has a 3 with a value that is 100 times greater than the value of 3 in 20.342 ?
1. 423.06
2. 307.18
3. 36.25
4. 108.173
Answer:
The second one
Step-by-step explanation:
Because 3 times 100 is equal to 300 and this is the answer choice either the number of the value with 300
Please Please help please
Answer:
compound and elements
Step-by-step explanation:
a single atom is known as an element
a compound is two elements bonded together.
the given figure shows single atoms as well as two atoms bonded together therefore the figure is showing elements as well as compounds