The length of the table is 22 inches and the width is 13 inches.
What are simultaneous equation?In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.
We are given that;
The set of equations
Now,
To solve it, you can use the substitution method. That is, you can substitute x = 2y - 4 into the second equation and get:
70 = 2(2y - 4) + 2y
Simplify and solve for y:
70 = 4y - 8 + 2y
70 = 6y - 8
78 = 6y
y = 13
Now plug y = 13 into the first equation and solve for x:
x = 2(13) - 4
x = 26 - 4
x = 22
Therefore, by the equation the answer will be 13 inches.
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Meg is decorating a ballroom ceiling with garland the width of the rectangle ceiling is 42 meters and the diagonal distance from one corner to the opposite corner is 70 metere . How much garland will meg need for the length of the ceiling
Answer:
[tex]47.3\,m[/tex] of garland is required for the length of the ceiling.
Step-by-step explanation:
Width of a rectangle ceiling [tex](w)=42 \,m[/tex]
Diagonal of a rectangle ceiling [tex](d)=70\,m[/tex]
Let [tex]l[/tex] denotes length of a rectangle ceiling.
The relationship between length, width and diagonal of a rectangle is given as follows:
[tex]d^2=l^2+w^2\\70^2=l^2+42^2\\4900=l^2+1764\\l^2=4900-1764\\l^2=2236\\l=47.3\,m[/tex]
So,
[tex]47.3\,m[/tex] of garland is required for the length of the ceiling.
How many lines of symmetry does this triangle have
Answer:
Option A:1 line of symmetry
a line passes through the point (0,-3) and has a slope of -2 what is the equation of the line?
Answer:
y = -2x - 3
Step-by-step explanation:
y = -2x + b
-3 = -2(0) + b
-3 = 0 + b
b = -3
Someone help me please
Answer:
its D
Step-by-step explanation:
Jessica is selling books during the summer to earn money for college. She
earns a commission on each sale but has to pay for her own expenses.
After a month of driving from neighborhood to neighborhood and walking
door-to-door, she figures out that her weekly earnings are approximately a
linear function of the number of doors she knocks on.
She writes the equation of the function like this: E(x) = 10x - 30, where x is the
number of doors she knocks on during the week and E(x) is her earnings for
the week in dollars.
Which of the following are reasonable interpretations of the y-intercept of
Jessica's function?
Check all that apply.
A. She can earn $10 per week even if she does not knock on any
doors
B. Her expenses are $30 per week.
c. If she does not knock on any doors at all during the week, she will
lose $30
D. She will lose $10 per week if she does not knock on any doors.
Answer:
C. if 10x is the door she have to knock so the -30 is how much she will earn during the week and if she doesn't knock any then she will lose the whole $30 dollars . sorry i can't explain myself good but i think it is so
Answer: B and C (took the test)
Step-by-step explanation:
B. Her expenses are $30 per week
C. If she does not knock on any doors at all during the week, she will lose $30.
solve for v.
v/6=19.2
Answer:
115.2
Step-by-step explanation:
I used Photo math and searched it hope this helps
A blueberry muffin is on sale for 5% off. It's sale price is $1.90. What was the original price?
Answer: $2.00
Step-by-step explanation:
The best way to do this here is just use quick calculation.
5% of 1 is 0.05. 5% of 2 would be double that, or 0.1.
2.00 - 0.10 is 1.90.
Answer:
The original price was $2.
Step-by-step explanation:
The muffin is on sale for 5% off. This means it is being sold for 95% of its original price.
Its sale price is $1.90. This means that 95% of its original price is 1.90.
Let's set up an equation.
95% of original price is $1.90.
0.95 • x = 1.90
Divide both sides by 0.95 to isolate x.
x = 2
The original price was $2.
Hope this helps!
What is the equation for this trig function?
(Open ended question)
Which trig function is the best representation for this graph?
A. sin (x)
B. - sin (x)
C. - cos (x)
D. cos (x)
Assuming that the scale for the y-axis is one box represents it be unit what could be the amplitude of this function?
A. 1
B. -1
C. 3
D. -3
Answer:
A. y = cos x
Step-by-step explanation:
The function that we see graphed has the point (0,1), this means whichever trig function f(x) it represents f(0) = 1.
Now, only the cosine function has the property that cos(0) = 1, thus choice A is the correct answer.
Step-by-step explanation:
HELPPP PLEASE I HAVE A TEST!!
Answer:
180
Step-by-step explanation:
The two angles on the line should add up to 180! Because a straight line is 180 degrees!
If (-10,8) is a point on the terminal side f a angle 0 in standard position what is the value of tan0?
Answer:
The value of the tangent is [tex]-\frac{4}{5}[/tex].
Step-by-step explanation:
Let be [tex]A(x,y) = (-10, 8)[/tex] on the terminal side of an angle in standard position and let be [tex]O(x,y)[/tex] the origin of the angle and the origin of the Cartesian plane. By definition of tangent, we make use of the following expression:
[tex]\tan \theta = \frac{y_{A}-y_{O}}{x_{A}-x_{O}}[/tex] (1)
Where:
[tex]x_{A}, x_{O}[/tex] - x-Coordinates of point A and point O.
[tex]y_{A}, y_{O}[/tex] - y-Coordinates of point A and point O.
If we know that [tex]x_{A} = -10, x_{O} = 0[/tex], [tex]y_{A} = 8[/tex] and [tex]y_{O} = 0[/tex], then the value of the tangent is:
[tex]\tan \theta = \frac{y_{A}-y_{O}}{x_{A}-x_{O}}[/tex]
[tex]\tan \theta = \frac{8-0}{-10-0}[/tex]
[tex]\tan \theta = -\frac{4}{5}[/tex]
PLease help its urgent
Tan(angle) = opposite leg/ adjacent leg
Tan(75) = 15/x
X = 15/tan(75)
X = 4.0 feet
Answer:
Solution given;. we have
Tan75=perpendicular /base
base=15/tan75=4.01=4 feet is your answer
Find two numbers that meet the requirements of the situation in each question. Put the smaller of the two numbers in the first blank and the larger of the two numbers in the second blank. One answer is positive and the other is negative. Give the negative answer first.
Multiply to give you -64 and add to give you 0.
Answer:
-8, 8 are the numbers
Step-by-step explanation:
8x-8 = -64
8+ -8 =0
How do I find the vertex and the standard form? Plz explain
Answer:
Vertex form
y = -4(x + 3)^2 + 10
Standard form;
y = -4x^2-24x - 26
Step-by-step explanation:
Mathematically, we have the vertex form as
y = a(x-h)^2 + k
(h,k) represents the vertex
We have h as -3 and k as 10
y = a(x+3)^2 + 10
To get a, we substitute any of the points
Let us use (-1,-6)
-6 = a(-1+3)^2 + 10
-6-10 = 4a
4a = -16
a = -16/4
a = -4
So we have the equation as;
y = -4(x+3)^2 + 10
For the standard form;
We expand the vertex form;
y = -4(x + 3)(x + 3) + 10
y = -4(x^2 + 6x + 9) + 10
y = -4x^2 - 24x -36 + 10
y = -4x^2 -24x -26
what percent of 144 is 36
no links
Answer:
25
Step-by-step explanation:
We already have our first value 36 and the second value 144. Let's assume the unknown value is Y which answer we will find out.
As we have all the required values we need, Now we can put them in a simple mathematical formula as below:
STEP 1 Y = 36/ 144
By multiplying both numerator and denominator by 100 we will get:
STEP 2 Y = 36/ 144 × 100/ 100 = 25/ 100
STEP 3 Y = 25
Finally, we have found the value of Y which is 25 and that is our answer.
If you want to use a calculator to find 36 is what percent of 144, simply enter 36 ÷ 144 × 100 and you will get your answer which is 25
What part is labeled on this normal curve?
A. The mean
B. The variance
C. The standard deviation
D. The area
Answer: Standard Deviation
Step-by-step explanation:
I got it right on Acellus
You flip a fair coin 24 times. About how many times would you expect heads to appear? If a fair coin is flipped 24 times then heads should appear about times.
Answer:
12 50/50 chance
Step-by-step explanation:
If a right triangle has side lengths of 3 cm and 7 cm, what is the length of the hypotenuse? brainliets will repport if nswwer is not right
Answer: 7
Step-by-step explanation:
i think it right could be wrong tho
Answer:
Solution given:
length[a]=3cm
base(b)=7cm
hypotenuse [c]=?
we have
by using Pythagoras law
a²+b²=c²
3²+7²=c²
c=√58=7.61m
the length of the hypotenuse is 7.61m.
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.
Answer:
[tex]\pi = \frac{22}{7} = 3.143143[/tex]
Step-by-step explanation:
But my question is, what's your question??
Answer:
49π
Explanation:
I did the assignment on khan
If I traveled 240 miles if a car goes 240 miles in 4 hours how far could it go in 6 hours and 30 minutes
Answer:
390 miles
Step-by-step explanation:
[tex]\frac{6.5}{4} :\frac{y}{240}[/tex]
y · 4 = 240 · 6.5
4y = 1560
4y ÷ 4 = 1560 ÷ 4
y = 390
How many solutions does the linear system below have? -8x+2y=6 and -4x+y=3
Answer:
Step-by-step explanation:
Try dividing the first equation by 3. The result will be identical to the second equation. Thus, we have two lines that coincide, and therefore there are an infinite number of solutions.
19. A ladder leans against the wall and reaches a point
24 feet up the wall. The base of the ladder is 6 feet
from the wall. To the nearest degree, what angle
does the ladder make with the wall?
D
24
E 6 F
Answer: 14
Step-by-step explanation:
HURRY! please help i’ll give brainliest
Answer:
The first and third options.
Explanation:
Look at each column and add the number of families.
What would this be? Please help.
Answer:
-176
Step-by-step explanation:
Let x = -8
f(-8) = 11 (-8-24) / 2
Simplify the parentheses
f(-8) = 11 ( -32)/2
= 11 (-16)
= 176
Which of the following angles has a reference angle of pi/9?
A.) -56pi/9
b.) 16pi/9
c.)29pi/9
d.)-37pi/9
Answer: D. -37pi/9
Step-by-step explanation:
The rest of the answer choices have a reference angle of 2pi/9
The reference angle of π/9 is -37π/9 option (d) -37π/9 is correct.
What is the reference angle?It is defined as the angle formed between the terminal side and x-axis, known as the reference angle.
We have an angle of π/9
The angle -37π/9 is a reference angle of π/9 because:
= (2π+2π)-37π/9 (one complete revolution is 2π)
= (18 + 18-37)π/9
= π/9
Thus, the reference angle of π/9 is -37π/9 option (d) -37π/9 is correct.
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Find the slope of the graph below
Answer: 3/2
Step-by-step explanation:
What is 8 to the power of 4?
Answer:
4096
Step-by-step explanation:
Joan bought a 3-pound bag of shrimp for 19.55. What is the unit price per ounce of shrimp?
Answer:
$0.407291667 per ounce
Step-by-step explanation: there are 16 ounces in a pound. 16 times 3 is 48.
in order to find the price per ounce, we need to divide the total price by the number of ounces
19.55/48 is 0.407291667
Austin thinks that the inequality 6x - 4y is greater than or equal to 10 should be shaded above the boundary
line because it uses the greater than or equal to inequality
symbol. Is he correct? Explain.
Answer:
no, you shade below the line. you'd have to turn the inequality into slop intercept form, meaning y[tex]\leq[/tex]3/2x-5/2.
What is the value of 8 + 2^3 x 5?
Answer:
I think the answer is 48
Step-by-step explanation:
2^3 = 8
8 x 5 = 40
40 + 8 = 48
Pls help me..if u can
Answer:
19958
Step-by-step explanation:
20237-(-279)
20237+279