Abdul put gas in his car. He paid $18.32 for 8 gallons of gas. What is the unit price?
Brett wants to paint the exterior of his two-story home but does not know what length ladder he should buy. The top of his roof is 29 ft above ground level, and (for safety reasons) the ladder should not be at more than an 80° angle from the ground. How long, rounded up to the nearest foot, is the shortest ladder that Brett should buy?
Answer:
Brett should buy a ladder of minimum 30 ft length.
Step-by-step explanation:
Brett wants to paint his exterior of a double story home.
Height of the roof of the second story from the ground = 29 feet
Maximum angle between the ground and the ladder should be = 80°
Now from the figure,
sin 80° = [tex]\frac{AB}{AC}[/tex]
0.9848 = [tex]\frac{29}{AC}[/tex]
AC = [tex]\frac{29}{0.9848}[/tex]
AC = 29.45
≈ 30 ft
Therefore, Brett should buy a ladder of minimum 30 ft length.
What is the lateral area of the drawing?
A. 425 km2
B. 1021 km2
C. 200 km2
D. 114 km2
Answer: Option 'D' is correct.
Step-by-step explanation:
Since we have given 4 trapeziums with parallel sides :
[tex]a=8\ km\\b=4\ km[/tex]
For height 'h'. we will consider the right angled triangle with
Perpendicular = 4.3 km and base = 2 km ,
We need to find the hypotenuse:
[tex]H^2=B^2+P^2\\\\H^2=2^2+4.3^2\\\\H^2=4+18.49\\\\H=\sqrt{22.49}\\\\H=4.742\ km[/tex]
Now, Lateral surface area of the figure = 4 × Area of trapezium
[tex]4\times \frac{1}{2}\times (8+4)\times 4.742\\\\=113.81\ km^2\\\\=114\ km^2[/tex]
Hence, Option 'D' is correct.
Consider the following function: f(x)= 25-x^2/x^2-4x-5 Which of the following are correct? Check all of the boxes that apply.
-m not equal to n
-m is equal to n
-There is only one vertical asymptote.
-y = –1 is the horizontal asymptote.
Answer: B, C, and D
Step-by-step explanation:
Just did it and got the answers wrong so these are the correct ones
Answer:
B, C, D
Step-by-step explanation:
-m is equal to n
-There is only one vertical asymptote.
-y = –1 is the horizontal asymptote.
A box with a volume of 40 cubic inches holds 10 balls. A box with a volume of 60 cubic inches holds 15 of the same kinds of balls. Assume the relationship is linear. Which equation models the relationship between the volume, x, and the number of balls y ?
A).y=0.25x+10
B).0.25x
C).y=4x
D).y=4x+60
If AB is the midsegment, find the value of x. Show your work.
3x-1=34/2
=17
3x =18, x =6
A driver's education course compared 1,500 students who had not taken the course with 1,850 students who had. Of those students who did not take the driver's education course, 1,150 passed the written driver's exam the first time compared with 1,440 of the students who did take the course. A significance test was conducted to determine whether there is evidence that the students who took the driver's education course were more likely to pass the written driver's exam the first time. What is the p-value for an appropriate hypothesis test?
1
0.7895
0.4209
0.2105
0
(I chose .4209 after using a 2-PropZTest. I need some help checking. An explanation if I'm wrong would be great)
Answer:
0.2105
Step-by-step explanation:
Its correct
What is the solution to the equation 1 over 2 n = 8?
n = 4
n = 6
n = 10
n = 16
if the measure of angle 1 is (3x-4)° and the meadure of angle 2 is (4x+10)° what is the measure of angle 2 in degrees?
Answer:
The measure of ∠ 2 in 58° .
Step-by-step explanation:
As given
if the measure of ∠ 1 is (3x-4)° and the measure of ∠ 2 is (4x+10)° .
As shown in the picture given in the question
90° + ∠1 + ∠2 = 180°
(By linear pair property)
Put the value of ∠1 and ∠2 in the above
90° + (3x -4)° + (4x+10)°= 180°
90 + 3x -4 + 4x + 10 = 180
7x + 6 = 180 - 90
7x + 6 = 90
7x = 90 -6
7x = 84
[tex]x = \frac{84}{7}[/tex]
x = 12
Put the value of x in the (4x+10)° .
∠2 = (4 × 12 + 10)°
∠2 = 58°
Therefore the measure of ∠ 2 in 58° .
Write the complex number in polar form. express the argument in degrees. 4i
a. 4(cos 0° + i sin 0°)
b. 4(cos 270° + i sin 270°)
c. 4(cos 90° + i sin 90°)
d. 4(cos 180° + i sin 180°)
Final answer:
The complex number 4i in polar form is 4(cos 90° + i sin 90°), which matches choice (c). The magnitude is 4, and the argument is 90° since 4i lies on the positive imaginary axis.
Explanation:
To convert the complex number 4i to polar form and express the argument in degrees, we should consider the general polar form of a complex number which is r(cos θ + i sin θ), where r is the magnitude (modulus) and θ is the argument of the complex number. The complex number 4i has a real part of 0 and an imaginary part of 4. Therefore, its magnitude is 4 and it lies on the positive imaginary axis. In the complex plane, this corresponds to an angle of 90° or 270° from the positive real axis. Since it is on the positive imaginary axis, the correct angle is 90°.
The correct polar form of the complex number 4i is 4(cos 90° + i sin 90°), which corresponds to choice (c).
An equilateral triangle has sides of length s. If each side is increased by 3, represent the new perimeter in terms of s.
Factor 5k 2 - 35k 3.
A. 5k2(1 - 7k)
B. 5k3(1 - 7k)
C. 5k(1 - 7k2)
Answer:
The correct answer is A) 5k^2(1 - 7k)
Step-by-step explanation:
To factor, take out the greatest common multiple. Each term has a factor of 5 that can be taken out as a constant and k^2 as a variable. Take both of these out and divide each term by that expression.
5k^2(1 - 7k)
its A) 5k^2(1 - 7k) :)
Name all sets of numbers to which each real number belongs
Another name for a dummy variable is a binary variable.a.Trueb.False
The expression 0.01E+0.003E^2 gives the thickness in millimeters (mm) of the insulation needed for a high voltage cable. E is the number of kilovolts carried by the cable. What thickness of insulation material is needed for 7 kilovolt cable?
Answer: 0.217 mm
Step-by-step explanation:
Write equations for the vertical and horizontal lines passing through the point (8, 7).
The volume of a fish tank is 20 cubic feet. If the density is 0.2 fish over feet cubed, how many fish are in the tank? (1 point)
Answer : The number of fish present in the tank are, 4 fish.
Step-by-step explanation :
As we are given that the volume of a fish tank is 20 cubic feet and density is 0.2 fish over feet cubed.
Now we have to determine the number of fish in the tank.
As, in 1 cubic feet tank the number of fish present in tank = 0.2 fish
So, in 20 cubic feet tank the number of fish present in tank = 20 × 0.2 fish
= 4 fish
Therefore, the number of fish present in the tank are, 4 fish.
Which of the following could not be a value of n? side lengths of 9 and 13
a. 7
b.10
c. 13
d. 22
HELPPPPPPPPPPP Why is the sum of a rational number and an irrational number rational? A. Because the product is always a non- terminating, non- repeating decimal. B. Because the product is always a fraction C. Because the product is always a negative number D. Because the product is always a repeating or a terminating decimal
Choose one of the factors of x3 + 343
Which of the following are binomials. (more than one answer)
A. x^11
B. 8x
C. x^2+3
D. x^4+x^2+1
E. 5/7y^3+5y^2+y
F. 6x^2+1/2y^2
its C) x^2+3 and F) 6x^2+1/2y^2 on apex
The area of the trapezoid is 40 square units.
What is the height of the trapezoid? __ Units
we know that
The area of a trapezoid is equal to
[tex]A=\frac{1}{2}(b1+b2)h[/tex]
where
b1 and b2 are the parallel bases of the trapezoid
h is the height of the trapezoid
In this problem we have
[tex]b1=6\ units\\b2=10\ units\\A=40\ units^{2}[/tex]
substitute in the formula
[tex]40=\frac{1}{2}(6+10)h[/tex]
Solve for h
[tex]40*2=16h[/tex]
[tex]h=80/16=5\ units[/tex]
therefore
the answer is
The height of the trapezoid is [tex]5\ units[/tex]
Laura is now trying to come up with a number where three less than 8 times the number is equal to half of 16 times the umber after it was increased by 1
The measure of arc XYZ is 296 degrees. What is the measure of angle XZW, the tangent-chord angle?
A: 296
B:148
C:116
D:206
What is the value of y in the product of powers below?
when multiplying you add the powers
3 +-5 = -2 so the power for y = 0
Which of the following steps could be used as a shortcut method to multiply 12 by 50
Which expression is right!!!!!! help me!!!!! Help!!!!
area of a triangle is 1/2 x base x height
c would be the base and x is the height
so 1/2cx is the expression needed
The scores for today’s math quiz are 75, 95, 60, 75, 95, and 80. Explain the steps needed to create a histogram for the data
Answer: Determine what should go on each axis. Grades will go on the x-axis, and the number of students will be plotted on the y axis. Find the number of different scores and range. Choose an interval - say, 10 percent. Find the frequency within each interval. Choose a scale - say, - 0-3. Draw bars the height of the frequency for each interval.
The histogram is defined as the graphical representation of the data points in the given specified range.
The histogram is similar to a bar graph. In the histogram, the data is grouped in logical ranges.
The steps involved in the making of the histogram are:
The vertical axis represents the y-axis. On the y-axis, the score or marks of the quiz will be placed. The interval between the scores is 5. The x-axis is the horizontal axis, on which the relative grades will be put on. The interval, let be 10 percent for the grades. Now, draw the bars to a respective height of the frequency of marks on the y-axis.
Therefore, the histogram is similar to the bar graph, in which the quantitative analysis of the data is done.
To know more about the histogram, refer to the following link:
https://brainly.com/question/17145899
Find the derivative of f(x) = (1 + 6x2)(x − x2) in two ways.
Is the number of free dash throw attempts before the first shot is missed number of free-throw attempts before the first shot is missed a discrete random variable, continuous random variable, or not a random variable?
Answer:
:)
Step-by-step explanation: