xy+xb+ya+ab = 32
x(y+b) + a(y+b) = 32
(x+a) (y+b) = 32
4.(y+b) = 32
(y+b) =32/4
(y+b) = 8
OPTION C
cotA + tanA= secAcosecA
Step-by-step explanation:
cotA + tanA
= cosA / sinA+ sinA/ cosA
= cos2A + sin2A / sinA* cosA
= 1 / sinA* cosA
=1/ sinA * 1/ cosA
= cosecA *secA
=secAcosecA
[tex]\frac{cos^2A + sin^2A}{sinAcosA}[/tex]Answer:
Step-by-step explanation:
cotA + tanA = secAcosecA
LHS=cotA + tanA
=[tex]\frac{cosA}{sinA}[/tex] + [tex]\frac{sinA}{cosA}[/tex]
take lcm of the denominator
=[tex]\frac{cosA*cosA + sinA*sinA}{sinAcosA}[/tex](COS^2A + sin^2A =1)
=[tex]\frac{1}{sinAcosA}[/tex]
=1/sinA * 1/cosA
=cosecA*secA
=secAcosecA
therefore LHS=RHS
hence proved.
There are 1,099 souvenir paperweights that need to be packed in boxes. Each box will hold 11 paperweights. How many boxes will be needed?
Answer:
1099/11=99.9
since you can't have 99 boxes, you round to 100 boxes.
you will need 100 boxes.
(04.02 MC)
4
What is the y-intercept of the line perpendicular to the line y = x + 1 that includes the point (4, 1)?
Answer:
The intercept of the line perpendicular to the line [tex]y = x + 1[/tex] is 5.
Step-by-step explanation:
The line [tex]y = x + 1[/tex] has a slope 1. By Analytic Geometry, the slope of the line perpendicular to the original line is determine by the following formula:
[tex]m_{\perp} = -\frac{1}{m}[/tex] (1)
Where:
[tex]m[/tex] - Slope of the original line.
[tex]m_{\perp}[/tex] - Slope of the line perpendicular to the original line.
If we know that [tex]m = 1[/tex], then the new slope is:
[tex]m_{\perp} = -\frac{1}{1}[/tex]
[tex]m_{\perp} = -1[/tex]
A line is defined by the following expression:
[tex]y = m\cdot x + b[/tex] (2)
Where:
[tex]x[/tex] - Independent variable.
[tex]y[/tex] - Dependent variable.
[tex]m[/tex] - Slope.
[tex]b[/tex] - Intercept.
If we know that [tex](x,y) = (4,1)[/tex] and [tex]m = -1[/tex], then the intercept of the line perpendicular to the original line:
[tex]b = y - m\cdot x[/tex]
[tex]b = 1+4[/tex]
[tex]b = 5[/tex]
The intercept of the line perpendicular to the line [tex]y = x + 1[/tex] is 5.
. There are 575 students in a school. If the number of girls is 54 more than the boys
how many boys are there in the school ?Find✌✌
there are 314.5 boys in the school .
Answer:
Solution given
let boys be x and girls be y.
now
according to the question;
x+y=575
and
y=x-54
substituting value of y in equation 1.
x+x-54=575
2x=575+54
x=629/2
x=314.5
can someone help with part A please??
Answer:
Step-by-step explanation:
4 days 9 hours 40 minutes
Sebastian bought x gallons of gas at a price of $2.91 per gallon at his local gas station. When he paid for the gas, Sebastian also paid $11.40 for granola
bars and a box of tissues.
If Sebastian filled 10 gallons of gas, how much did he spend in all at the gas station?
Answer:
Sebastian spent $40.40 at the gas station.
Step-by-step explanation:
First let's find how much the gas cost.
So it's $2.91 a gallon, and Sebastian fills 10 gallons of gas, so we multiply.
10 * 2.91 = $29.10
Then we add on the $11.40 from the granola bars and the box of tissues.
$29.10 + $11.40 = $40.50
So the final price should be $40.40. Sebastian spent $40.40 at the gas station.
PLEASE HELP!!
A wooden block in the shape of a rectangular pyramid is shown below:
A shaded right rectangular pyramid is shown.
If a cross section of the block is cut in a plane parallel to the base of the pyramid, which of the following shapes describes the cross section? (5 points)
a
Triangle
b
Rectangle
c
Trapezoid
d
Hexagon
Step-by-step explanation:
A shaded right rectangular pyramid is shown. where is the shade rectangular pyramid....how do I know the answer when you did post the full
question
Which expression is equivalent to ((4^(5/4)x4^(1/4))/4^1/2)^1/2
?
^16sqrt4^5
Sqrt2^5
2
4
Answer:
2
Step-by-step explanation:
add 5/4 and 1/4 to get 6/4 or 3/2
(4^3/2 ÷ 4^1/2)^1/2 = 4^3/4 ÷ 4^1/4
4^3/4 ÷ 4^1/4 = 4^2/4 or 4^1/2
4^1/2 is the square root of 4, which is 2
Answer:
2
Step-by-step explanation:
In first step use the product rule of exponents .
so exponents going to add up.
Then in the second step simplified exponents.
After that Its division rule of exponents. and according to division to the exponents get subtracted.
In the end he would be left with four to the power half. which means square root of 4. which is 2.
The formula to convert °F to °C is C = (F – 32).
Convert 50°C to °F.
10°F
20°F
122°F
132°F
The value of 50°C in °F is,
⇒ 122° F
What is Measurement unit?A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.
Given that;
To Convert 50°C to °F.
Now, We get;
⇒ (50 × 9/5) + 32
⇒ 90 + 32
⇒ 122° F
Thus, The value of 50°C in °F is,
⇒ 122° F
Learn more about the measurement unit visit:
https://brainly.com/question/777464
#SPJ7
An aquarium holds 11.81 cubic feet of water, and is 2.8 feet long and 1.7 feet wide. What is its depth? Round your answer to the nearest whole number.
Answer:
2ft
Step-by-step explanation:
Depth = volume / ( length x width)
11.81 / (2.8 x 1.7)
11.81 / 4.76
depth = 2.48
2 ft (to the nearest whole number)
How do I solve -11+9=2x+45?
Answer:
x = - [tex]\frac{47}{2}[/tex]
Step-by-step explanation:
Given
- 11 + 9 = 2x + 45 , that is
- 2 = 2x + 45 ( subtract 45 from both sides )
- 47 = 2x ( divide both sides by 2 )
- [tex]\frac{47}{2}[/tex] = x
What is the probability of an event that is certain?
Answer:
Nvm my answer is wrong
An event that is certain to happen has a probability of 1. An event that cannot possibly happen has a probability of zero. If there is a chance that an event will happen, then its probability is between zero and 1.
solve it : -
[tex] \dfrac{44}{4} [/tex]
_______
Answer:
11Step-by-step explanation:
[tex] \frac{44}{4} [/tex]
= 44 ÷ 4
= 11 (Ans)
Answer:
solution
44÷4=11 ^_^
Thanks for points
Engineers speculate that W, the amount of weight (in units of 1000 pounds) that a certain span of a bridge can withstand without structural damage resulting, is normally distributed with mean 400 and standard deviation 40. Suppose that the weight (again, in units of 1000 pounds) of a car is a random variable with mean 3 and standard deviation.3. Approximately how many cars would have to be on the bridge span for the probability of structural damage to exceed .1?
A. 106
B. 123
C. 120
D. 115
E. 117
Answer:
n = 116.2 ≈ 117
Option E) 117 is the correct answer.
Step-by-step explanation:
Given the data in the question;
Exceed = 0.1
{ 1 - 0.1 = 0.9 }
normal table value at 0.9 = - 1.285
Normal table;
hence
( y - 400 ) / 40 = -1.285
y - 400 = -51.4
y = 400 - 51.4
y = 348.6
so,
348.6 = ∈(y) = ∈[ ⁿ∑[tex]_{i=1[/tex] X[tex]_i[/tex] ]
348.6 = n.∈( X[tex]_i[/tex] )
we substitute
348.6 = n × 3
n = 348.6 / 3
n = 116.2 ≈ 117 { roundup since we talking of number of cars i.e sample size }
Option E) 117 is the correct answer.
Find the value of x in The parallelogram.
Answer:
122 degrees
Step-by-step explanation:
A parallelogram has 360 degrees in total
360 - (58 + 58) = 244
244/2 = 122
I hope this helped you!
Answer:
x = 122
Step-by-step explanation:
Consecutive angles in a parallelogram are supplementary, sum to 180° , so
x + 58 = 180 ( subtract 58 from both sides )
x = 122
Anthony bought a new rectangular table for his living room the length of the table is 4 feet and the perimeter of the table is 14 feet what is the width of the table ?
A. 4 feet
B.5 feet
C. 2 feet
D.3 feet
Answer:
Option d
Step-by-step explanation:
Length = 4 ftPerimeter = 14 ftWidth = ?→ Perimeter of rectangle = 2(l + w)
→ 14 = 2(4 + w)
→ 14 ÷ 2 = 4 + w
→ 7 = 4 + w
→ 7 - 4 = w
→ 3 ft = w
Therefore, width is 3 ft. (Option D)
In 20 words or fewer, can 8 • 7 • 6 be written as 8! . . . and why or why not?
Answer:
No, because factorials are product of all positive integers less than or equal to a given positive integer.
Suppose that your statistics professor tells you that the scores on a midterm exam were approximately
normally distributed with a mean of 78 and a standard deviation of 7. The top 15% of all scores have
been designated A’s. Your score is 89. Did you earn an A? Explain.
Answer:
YesStep-by-step explanation:
z-score representing 85% is 1.04 (from table)
Let x be the score representing the lower limit of 85%.
Use the formula to find z-scores:
z = (x - μ)/σWe have:
z = 1.04, μ = 78, σ = 7Substitute the values and solve for x:
1.04 = (x - 78)/7x - 78 = 7.28x = 85.28The lower limit of the top 15% is 85.28.
Since your score is greater than 85.28 you earned an A
what numbers multiplied by itself equals 118?
[tex]\longrightarrow{\green{10.863}}[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]10.863 \times 10.863 = 118 \\ \\⇝118.004 = 118 \\ \\ ⇝118 = 118[/tex]
[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]
Answer:
±sqrt(118) or approximately ±10.86278
Step-by-step explanation:
What number times itself is 118
We are looking for the sqrt(118) or- sqrt(118)
This is approximately ±10.86278
What is g(x)?
Please help!
Answer:
A
Step-by-step explanation:
It's just a normal quadratic graph but flipped meaning its just negative x squared
If x + x = 9, then x =
Answer: x = 4.5
Step-by-step explanation: First, do x + x, since they are like terms. That equals 2x. The equation is now 2x = 9. Divide both sides by 2. x = 4.5.
x + x = 9
2x = 9
÷2 ÷2
---------------------
x = 4.5
x + x = 9
4.5 + 4.5 = 9
i’ll give brainilist . Mrs.Shivers, the 8th grade guidance counselor, solved for the value of x in the triangle below. She said that x=70 based off what Ms.Willis taught her. Which of the following statements best justifies Mrs.Shiver's answer?
Answer:
she is correct
Step-by-step explanation:
because according to the Pythagorean theorem the interior of a triangle has to be 180 degrees total.
and a straight line has an angle of 180
so the inside of the C angle is 50
60+50+70=180
What is the answer for this question?
Answer:
a/e
~~~~~~~~~~
[tex]\frac{(18) ab (20)cd}{ (15) bc (24) de}[/tex]
[tex]\frac{(3) ab (4)cd}{ (3) bc (4) de}\\[/tex]
[tex]\frac{ ab cd}{ bc de}\\[/tex]
[tex]\frac{ a }{ e}\\[/tex]
Step-by-step explanation:
PLs, help me with this geometry question.
Answer:
x = 49
Step-by-step explanation:
The central angle AOB is equal to the measure of the arc that subtends it, so
∠ AOB = 82°
OA = OB ( both radii of the circle ), then Δ AOB is isosceles and the 2 base angles are congruent, then
x = [tex]\frac{180-82}{2}[/tex] = [tex]\frac{98}{2}[/tex] = 49
16.
Which of the following are the coordinates of the vertex of y= 3x2 + 3?
A. (3, 0)
B. (0, 3)
C. (–3, –3)
D. (3, 3)
Answer:
D
Step-by-step explanation:
is the correct answer i believe.
Answer:
B. 0,3
Step-by-step explanation:
I took the test and checked the answer, 0,3 is correct.
1. Find the value of x and round to the nearest tenth
2. Find the value of y and round to the nearest tenth.
Measure of x :
[tex]\longrightarrow4 \sqrt{5} \: \: units[/tex]
Measure of y :
[tex]\longrightarrow8 \sqrt{5} \: \: units[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{hope \: \: it \: \: helps }}{\orange{....}}}}}[/tex]
Given this number line, ab=
Answer:
3
Step-by-step explanation:
7 -4 = 3
Please help I’ll give brainliest
Answer:
13%
Step-by-step explanation:
Interest Amt = Principal x Interest Rate x Time (in years)
780 = 4000·r·1.5
780 = 6000r
780/6000 = r
r = .13 which is 13%
The probability that Sam will win the 50-yard dash is 85%. What is the probability that Sam will not win the 50-yard dash?
Answer:
15%
Step-by-step explanation:
100 % - 85 % = 15 %
Write in slope-intercept form an equation of the line that passes through the points (-3, 2) and (1, -10).