Answer:
-6.13406 and 61.13406
Step-by-step explanation:
x + y = 55
x × y = -375
y = 55 - x
x × (55 - x) = -375
55x -x² = -375
x² - 55x - 375 = 0
solution of a quadratic equation :
x = (-b ± sqrt(b² - 4ac))/(2a)
a=1
b=-55
c=-375
x = (55 ± sqrt(55² + 4×375))/2 = (55 ± sqrt(4525))/2 =
= (55 ± sqrt(25 × 181))/2 = (5×11 ± 5×sqrt(181))/2 =
= 5/2 × (11 ± sqrt(181)) =
= 61.13406... or -6.13406...
y = 55 - 5/2×(11 ± sqrt(181)) = 55/2 ± 5/2×sqrt(181) =
= -6.13406... or 61.13406...
Translate the sentence into an equation,
Three times the sum of a number and 7 equals 2.
Use the variable y for the unknown number.
Answer:
3(y+7)=2
Step-by-step explanation:
The blue dot is at what value on the number line?
Answer:
The blue dot is at 3.
solve for the missing sidebof the triangle shown in the figure
Answer:
∠B = 74°
a ≈ 14.5 inches
c ≈ 11.4 inches
Step-by-step explanation:
The given parameters of triangle ΔABC are;
∠A = 62.2°, ∠C = 43.8° and side [tex]\overline{AB}[/tex] = b = 15.8 in
By sine rule, we have;
[tex]\dfrac{a}{sin(\angle A)} = \dfrac{b}{sin(\angle B)} = \dfrac{c}{sin(\angle C)}[/tex]
[tex]a = {sin(\angle A)} \times \dfrac{b}{sin(\angle B)}[/tex]
By angle sum property, we have;
∠B = 180° - (∠A + ∠C)
∴ ∠B = 180° - (62.2° + 43.8°) = 74°
∠B = 74°
[tex]\therefore {a} = {sin(62.2^{\circ})} \times \dfrac{15.8}{sin(74^{\circ})} \approx 14.5[/tex]
a ≈ 14.5 in.
[tex]c = {sin(\angle C)} \times \dfrac{b}{sin(\angle B)}[/tex]
[tex]\therefore {c} = {sin(43.8^{\circ})} \times \dfrac{15.8}{sin(74^{\circ})} \approx 11.4[/tex]
c ≈ 11.4 in.
can I please can some help on this question
Answer: The answer be 87 for both answer's
Step-by-step explanation:
because, {B-3=90} and, 0.< a < 90. and I calculated and got 87 for both questions ( I hope it correct!)
What is the value of y?
16
50
130
164
Answer:
where is the figure
Step-by-step explanation:
u should upload the figure too
Answer:
C. 130
Step-by-step explanation: Hope it helps ^w^
Given the building layout for Store A, Store B, Store
C, and Store D, what portion of the shared $6000
security costs should be apportioned to Store B if store A is 2500ft^2, store B is 625ft^2, store C is 625^2, and store D is 2500ft^2
Answer:
$600
Step-by-step explanation:
2500+625+625+2500=6250
625/6250=.10 or 10%
6000 x .10=600
Store B should be apportioned $600 of the shared $6000 security costs.
To apportion the shared $6000 security costs to each store based on their square footage, we need to calculate the total square footage of all the stores and then determine the proportion of each store's square footage to the total square footage.
[tex]Total square footage = 2500ft^2 (Store A) + 625ft^2 (Store B) + 625ft^2 (Store C) + 2500ft^2 (Store D)[/tex]
[tex]Total square footage = 6250ft^2[/tex]
Now, let's calculate the proportion of Store B's square footage to the total square footage:
[tex]Proportion of Store B = Square footage of Store B / Total square footage\\Proportion of Store B = 625ft^2 / 6250ft^2[/tex]
Now, find the proportion in decimal form:
[tex]Proportion of Store B = 625 / 6250\\Proportion of Store B = 0.1[/tex]
To determine the portion of the security costs for Store B, multiply its proportion by the total security costs:
Portion of security costs for Store B = Proportion of Store B * Total security costs
[tex]Portion of security costs for Store B = 0.1 * $6000\\Portion of security costs for Store B = $600\\[/tex]
Therefore, Store B should be apportioned $600 of the shared $6000 security costs.
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Consider the polygon shown. Determine the value of y.
67
75
Answer:
70 degrees
Step-by-step explanation:
It's a right angle and have angles. The polygon is 5 sides. It's 540 degrees.
It's complementary.
Step-by-step explanation:
i don't know but i think it 157 because:
180-67=113
113-90=23 x
180-23-75=82 y
hope u can understand this
provide explanation too please !
a piano teacher teaches 8 lessons in 6 hours.
the lessons are all the same length.
how long is one lesson, in minutes?
1 hour is 60 minutes
6 hours x 60 = 360 total minutes
Divide total time by number of lessons:
360/8 = 45
Each lesson was 45 minutes
On a coordinate plane, 4 lines are shown. Line A B goes through (negative 4, 3) and (4, 3). Line C D goes through (negative 3, 0) and (3, 2). Line F G goes through (negative 3, negative 1) and (3, negative 3). Line H J goes through (negative 1, negative 4) and (1, 2).
Which of the lines that appear in the graph would be parallel to a line with a slope of 3 and a y-intercept at (0, 3)?
line AB
line CD
line FG
line HJ
Answer:
fg
ur welcome and im out
Step-by-step explanation:
María compra mercancía por valor $2.000.000 la cual tiene una utilidad estimada del 25%, ella desea saber el valor que ganara al vender toda su mercancía ¿Cuál sera el valor que corresponde a las ganancias de maría?
Answer:
Maria buys merchandise worth $ 2,000,000 which has an estimated profit of 25%, she wants to know the value that she will earn by selling all her merchandise. What will be the value that corresponds to Maria's earnings?
Step-by-step explanation:
2,500,000 $ worth of merchandise
Type the correct answer in the box.
Use numerals instead of words. If necessary, use / for the fraction bar.
AB is parallel to CD, and EF is perpendicular to AB.
(AB,CD,EF and AB all have straight lines over them but my keyboard can't do that)
The number of 90° angles formed by the intersections of and the two parallel lines and is ___
.
Answer:
either 0 or 8, see the step by step for rationale pending the actual question
Step-by-step explanation:
two parallel lines will never intersect.
if it is mean to find the number of 90 degree angles of the two parallel lines and the perpendicular lines, the answer would be 8.
if two lines are perpendicular think of a + sign. there are four angles to make 360 degree so each must be 90 (and the definition of perpendicular).
since there are two parallel lines that intersection happens twice. so 8
Please show the steps. and the answer
Answer:
$321562.50
Step-by-step explanation:
Exponential growth can be modeled by the formula [tex]y = a(1+r)^{x}[/tex] , with y representing the final value, a being the starting value, r being the growth rate, and x being the number of time intervals passed.
To figure out the rate, we must use the values given from the months we have data of. Our starting value is 60,000 , ending value is 105,000 , and given that monthly sales are given, we can assume that sales grew exponentially each month. There were 4 years, or 48 months, that the store had to grow. Our formula is thus
[tex]105000 = 60000(1+r)^{48}\\[/tex]
To solve for r, we can first divide both sides by 60,000 , then put each side to the power of 1/48, resulting in
[tex]105000/60000 = (1+r)^{48}\\1.75 = (1+r)^{48}\\\\1.75^{1/48} = 1+r[/tex]
Since we know our rate, and there are 8 years/96 months between January 2005 and January 2013, we can make our starting value 105,000 , plug (1.75)^(1/48) for r and 96 for x in [tex]y = a(1+r)^{x}[/tex], and go from there.
Our final value is then
[tex]y = 105000(1.75^{1/48})^{96}\\y = 105000(1.75^{2})\\y = 321562.5[/tex]. We were able to turn 1.75^(1/48)^(96) into 1.75² using the exponent rule stating that x^y^z = x^(y*z)
The circle below has center H. suppose mIJ=84. What is mIGL
Answer:
m∠IGJ = 42°
Step-by-step explanation:
It's given in the question,
m(arc IJ) = 84°
And we have to get the measure of ∠IGJ.
By using the property of inscribed angle and the intercepted arc.
"Measure of an inscribed angle is half of the measure of intercepted arc"
m(arc IJ) = 2(m∠IGJ)
84° = 2(m∠IGJ)
m∠IGJ = 42°
solve it : -
[tex] \sqrt{8 \times 5 \times 10} [/tex]
______
Answer:
20
Step-by-step explanation:
8 * 5 = 40
40 * 10 = 400
√400 = 20
Answer:
20
Step-by-step explanation:
sqrt(8*5*10)
sqrt(400)
sqrt(20*20)
20
1/6 of a farm is planted maize,1/4 is planted beans and the remaining part is planted potatoes.What fraction of field is planted potatoes?
Answer:
7/12
Step-by-step explanation:
fraction of field is planted potatoes = 1 - sum of fraction of farm planted with maize and beans
sum of fraction of farm planted with maize and beans =
[tex]\frac{1}{6} + \frac{1}{4}[/tex]
[tex]\frac{2 + 3}{12} = 5/12[/tex]
1 - 5/12 = 7/12
part A: Which expression can be used to find the value of x in the triangle shown?
part B: write the value of x to the nearest tenth.
Answer:
D and x=11.55
Step-by-step explanation:
D equals f plus fx, solve the equation for x
Answer:
question says D = f + fx,
then,
D = 2fx
so,
D/2f = x
solve for x, show work please!! 20 points.
Step-by-step explanation:
Here,
13x - 5 = 11x + 15. [Since corresponding angles are similar in parallel lines]
=> 13x - 11x = 15 + 5
=> 2x = 20
[tex] = > x = \frac{20}{2} [/tex]
=> x = 10 (Ans)
simplify and expand the equation below
7(2-x)-(x-3)
Answer:
- 8x + 17
Step-by-step explanation:
7(2 - x) - (x - 3)
14 - 7x - x + 3
- 8x + 14 + 3
- 8x + 17
1
2
30mm
TIME REMAINING
02:54:29
A used car dealer prices her cars so that she makes a minimum profit of 15% on each car sold. If she acquired a car
for $4,500, which inequality can be used to determine the acceptable selling prices, p, of that car?
SESE
O 1.15ps4,500
O 1.15p24,500
O P51.15(4,500)
O p21.15(4,500) W
Submit
On the graph shown, what is f(-2)
Answer:
3 because when x=2 the lines are at y 1 and 3, but the y 1 isn't shaded, so the answer is 3
Over what interval is the function in this graph constant?
Answer:
[tex]\text{A. }1\leq x \leq6[/tex]
Step-by-step explanation:
A constant intervals occurs when the function is neither increasing or decreasing. In the graph, we see this occurs from [tex]x=1[/tex] to [tex]x=6[/tex]. Therefore, the interval in which the graph is constant is [tex]\boxed{\text{A. }1\leq x \leq6}[/tex]
What is the volume, in cubic feet, of a rectangular prism with a height of 2 feet, a
width of 10 feet, and a length of 17 feet?
Answer: 340
Step-by-step explanation: It would follow the basic volume formula w*l*h so filling in the values gets us (10)*(17)*(2) and multiplying them out gets us 340.
Please show me 3+2 (2x - 4) and can you please show the work?
Answer:
4x -5
Step-by-step explanation:
3+2 (2x - 4)
Distribute
3 + 2*2x - 2*4
3+4x - 8
Combine like terms
4x +3-8
4x -5
Answer:
4x - 5
Step-by-step explanation:
3+ 2 (2x) + 2 (-4)
3+4x - 8
Don't forget! If you multiply or divide by a negative number, you must
flip the inequality symbol!
I need help with these 2 and ignite the 5 and 6 it’s the question number
Answer:
c > 20
make a number line that starts with the number 16 and ends with 22.
on the number 20 circle it (don't fill in the circle).
then draw an arrow to the right on top of the circle that you circled.
Step-by-step explanation:
a tablet is on sale for 30% off. the regular price is $185. how much money will you save?
Answer:
185×30÷100=55.5
HERES YOUR answer
I WILL VOTE BRAINLIEST, HELP PLS
Eliminate the x in the following system of equations. What is the result when you add the two equations?
Answer: -7y = 21
explanation:
x+y=2;3x−4y=27
Step: Solve x+y=2 for x:
x+y+−y=2+−y (Add -y to both sides)
x=−y+2
Step: Substitute −y+2 for x in 3x−4y=27:
3x−4y=27
3(−y+2)−4y=27
−7y+6=27 (Simplify both sides of the equation)
−7y+6+−6=27+−6 (Add -6 to both sides)
−7y=21 (answer)
first option
manipulate line 1 to
x = 2 - y
then substitute x in line to for the righthand side above
then solve towards y.
Need help seriously
Answer:
[tex]\frac{3}{4}[/tex]
Step-by-step explanation:
Vowels: A, E, I, O, U
There are only 2 vowels out of 8 on the spinner, which means that 6 out of 8 aren't vowels.
[tex]\frac{6}{8}[/tex] = [tex]\frac{3}{4}[/tex]
Hope this is helpful
Find the median of the data.
The number of girls per classroom.
11, 3, 1, 12, 5, 3, 2
Median: [?] girls
oto
Answer:
3
Step-by-step explanation:
To find the median, first we have to put the data in ascending order:
1, 2, 3, 3, 5, 11, 12
The median is the middle number. In this case, that is 3.
The median of the data "The number of girls per classroom" which has values as 11, 3, 1, 12, 5, 3, 2 is 3.
To find the median of the given data, we first need to arrange the numbers in ascending order:
1, 2, 3, 3, 5, 11, 12
The median is the middle value when the data is arranged in ascending order. In this case, since the total number of data points is odd (7 data points), there is one middle value. The median is the fourth value in the ordered list, which is 3.
The median is a measure of central tendency that represents the middle value in a dataset. It is often used to describe the typical or central value of a set of data and is particularly useful when dealing with skewed distributions or outliers.
In this case, the median of 3 tells us that, when sorted in ascending order, the middle value of the number of girls per classroom is 3, which gives us an indication of the central tendency of the data.
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the expression -7y is called what
Answer:
called "pi".
Step-by-step explanation:
