Answer:
10
Step-by-step explanation:
Vertical angles are equal to each other
-2x + 90 = x - 30
90 + 30 = x + 2x add like terms
120 = 3x divide both sides by 3
40 = x
angle <ZD is x - 30 so the answer is 10
The length of a rectangular-shaped patio is 3 feet shorter than four times its width.
A. Write an equation to represent the area of the patio.
B. If the patio has an area of 370ft square, find the dimensions of the patio
Answer:
A. A = 4x² – 3x
B. Dimension = 37 ft × 10 ft
Step-by-step explanation:
A. Writing an equation to represent the area of the patio.
From the question given above,
Length (L) = (4x – 3) ft
Width (W) = x ft
Area (A) =?
Area of a rectangle is given by:
Area (A) = Length (L) × Width (W)
A = L × W
A = (4x – 3)x
Clear bracket
A = 4x² – 3x
B. Determination of the dimensions of the patio.
Area (A) = 370 ft²
Dimensions =?
Next, we shall determine the width and length. This can be obtained as follow:
From (A) above,
A = 4x² – 3x .... (1)
A = 370 ....... (2)
Equating equation 1 and 2, we have
4x² – 3x = 370
Rearrange
4x² – 3x – 370 = 0
Solving by formula method:
4x² – 3x – 370 = 0
Coefficient of x² (a) = 4
Coefficient of x (b) = –3
Constant (c) = –370
x = –b ± √(b² – 4ac) / 2a
x = –(–3) ± √(–3² – (4×4×–370)) / 2×4
x = 3 ± √(9 + 5920) / 8
x = 3 ± √(5929) / 8
x = 3 ± 77 / 8
x = (3 + 77) / 8 or (3 – 77) / 8
x = 80/8 or –74/8
x = 10 or –37/4
Since measurement can not be negative, thus,
x = 10
Width (W) = x ft
x = 10
W = 10 ft
Length (L) = 4x – 3 ft
x = 10 ft
L = 4(10) – 3
L = 40 – 3
L = 37 ft
Finally, we shall determine the dimensions. This is illustrated below:
W = 10 ft
L = 37 ft
Dimension =?
Dimension = L × W
Dimension = 37 ft × 10 ft
what is 8/9 divide 2/3?
Answer:
4/3
Step-by-step explanation:
8/9 ÷ 2/3
Simplify the complex fraction.
4/3
Step-by-step explanation:
8/9 ÷ 2/3
Simplify
4/3 is the correct answer
Which statement correctly identifies the line of reflection?
-The triangles are reflected across the x-axis.
-The triangles are reflected across the y-axis.
-The triangles are reflected across the line y = x.
-The triangles are reflected across the line y = –x.
Answer: The triangles are reflected across the line y = x
Step-by-step explanation:
I used wolfram to calculate it for me. I used the bottom right point of the triangle.
help me with this math question
Answer:
Statements A and B are both true.
James' truck uses 8 gallons of gas per day. He filled his tank up with 36 gallons of gas. How many days will James be able to drive using 36 gallons of gas?
Answer:
4.5
Step-by-step explanation:
36 ÷ 8 = 4.5
James will be able to drive for 4.5 days.
Mark me as brainliest please
James will be able to drive [tex]=4\frac{1}{2}[/tex] days.
What is arithmetic maths ?Arithmetic is the fundamental of mathematics that includes the operations of numbers like addition, subtraction, multiplication and division.
We have,
James' truck uses gas per day [tex]=8[/tex] gallons
Tank has gas [tex]=36[/tex] gallons
Now,
According to the question,
Number of days James will drive [tex]= \frac{Total\ gas}{Gas\ used\ per\ day}[/tex]
[tex]=\frac{36}{8}[/tex]
Number of days James will drive[tex]=4\frac{1}{2}[/tex] days
Hence, we can say that James will be able to drive [tex]=4\frac{1}{2}[/tex] days.
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which statement must be true about line TU?
Answer:
line TU has no slope in the diagram above
A parallelogram is cut out of a 12-inch by 8-inch sheet of paper. There are four right triangle remnants. Two have the dimensions 2 inches by 9 inches, and the other two have the dimensions 3 inches by 6 inches. A parallelogram is shown. An altitude is drawn from one point to the opposite side to form a right angle. The length of the base is 9.22 inches. The resulting parallelogram has a base of approximately 9.22 inches.
Answer:
96
36
60
6.51
Step-by-step explanation:
Answer:96, 36, 60, 6.51
Step-by-step explanation:
hcf and lcm of 54,18,90
which of the following equations are perpendicular
Evaluate the expression 3(5 + 2)(7 - 2) using order of operations.
Answer:
105
Step-by-step explanation:
The order of operations is written as PEMDAS. These letters stand for:
-Parentheses
-Exponents
-Multiplication
-Division
-Addition
-Subtraction
We follow these steps in order to solve expressions efficiently. Now, we are going to use PEMDAS to evaluate the expression 3(5+2)(7-2) step by step.
3(7)(5) The first step is to simplify the numbers in the parentheses.
There are no exponents, so we skip to the next step, multiplication.
(3*7)(5)
21(5)
105
PEMDAS is no longer needed because 105 has come out to be our answer.
I hope this helps you out! Have an an awesome day :3
A binomial discrete random variable, X has a mean
of 3 and variance of 2. If X ~ B(n,p), find the values
of p and of n.
Since X follows a binomial distribution, its mean and variance are
np = 3
np (1 - p) = 2
Substitute np = 3 in to the second equation to solve for p :
3 (1 - p) = 2
1 - p = 2/3
p = 1/3
Solve for n :
n (1/3) = 3
n = 9
what is x and y on a graph
Answer:
X is the horizontal axis (up and down)
Y is the vertical axis (right to left)
Oscar bought 15 gallons of water at $1.98 per gallon. He wants to divide this water in bottles of 1/8 gallon each. What is the cost of a bottle of water?
Answer:
Step-by-step explanation:
Calculate the answer to the correct number of significant figures: (1.705 + 0.5067) / (0.2 * 1.243) = ______.
8.897
8.8966
8.9
9
8.90
Answer:
8.9
Step-by-step explanation:
they said to the sig. figure so since it's 8.8966, so the answer will be 8.9
The answer to the correct number of significant figures is 8.897, the correct option is A.
What are Significant Figures?Significant figures is a positional notation, these are the digits that are required to understand the quantity of something.
The expression is
⇒(1.705 + 0.5067) / (0.2 * 1.243)
=2.2117/0.2486
=8.89662
≈ 8.897
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True or False?
k = 3 over 4 is a solution to the inequality 12k + 2 < 12.
True
False
Answer:
False.
Step-by-step explanation:
...................
(Hurry giving brainliest) Which idea does Arnold need to correct? In specular reflection, reflected rays move in the same direction. In scattering, light strikes particles in the atmosphere. In diffuse reflection, reflected rays move in different directions. In scattering, long wavelengths are scattered the most.
Answer:
D. In scattering, long wavelengths are scattered the most.
Step-by-step explanation:
Scattering of light is the effect observed when there is an interaction between light energy and some particles. This occurs often in the earth's atmosphere which consists of different sizes of particles that interacts with the sunlight.
In scattering, light of shorter wavelengths are scattered by small sized particles compared to those with longer wavelengths. Example is the scattering of the sunlight by the atmospheric particles where colors with short wavelengths are scattered the most.
Arnold need to correct the statement; In scattering, long wavelengths are scattered the most. To read; In scattering, short wavelengths are scattered the most.
Answer:
D on edgen
Step-by-step explanation:
Which statement is true regarding the angles in the figure below?
Triangle E D F. A diagonal line is drawn from point D to form an angle.
Angle D is an exterior angle because it shares a side with the triangle.
Angle D is an exterior angle because it is not inside the triangle.
Angle D is an exterior angle because it is formed by one side of the triangle and by extending another side of the triangle.
Angle D is not an exterior angle.
An exterior angle is an angle supplementary to one of the interior angles.
In other words, an exterior angle is the angle between one of the sides, and the extension of an adjacent side.
In the given diagram, the angle D is measured from one of the sides, but not to the extension of an adjacent side.
Therefore angle D is not an exterior angle.
Option D is the correct one!
An exterior angle is an angle supplementary to one of the interior angles.
We have given that,
Triangle E D F. A diagonal line is drawn from point D to form an angle.
Angle D is an exterior angle because it shares a side with the triangle.
Angle D is an exterior angle because it is not inside the triangle.
Angle D is an exterior angle because it is formed by one side of the triangle and by extending another side of the triangle.
Angle D is not an exterior angle.
What is the exterior angle?an exterior angle is an angle between one of the sides and the extension of an adjacent side.
In the given diagram, the angle D is measured from one of the sides, but not to the extension of an adjacent side.
Therefore angle D is not an exterior angle.
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Help PLEASE eeeeeeeeeeeeeeeee
Answer:
0.6 is the answer please
what is the surface area of a sphere if the volume is 3000 pi
Answer:
228.95 cm2 / 229 cm2
Step-by-step explanation:
Volume of a sphere is given by;
V = (4/3)πr3
So in this question we have to find the radius of the sphere to enable us find the surface area.
Therefore let's find the radius using the volume formula;
3000π = (4/3)πr3
Divide through by (4/3)π
r3 = 2250
r =3√2250 (cube root of 2250)
r = 13.104cm2
Since we have gotten the radius, let's calculate the surface area using the formula;
A = (4/3)πr^2
= (4/3) × π × 13.104^2
= 228.95 π cm2 or 229 cm2
Choose the one that is FALSE. *
A. 1/4 = 2/8
B. 3/4 = 10/12
C. 5/10 = 1/2
D. 10/12 = 5/6
Answer:
B. 3/4 = 10/12
Step-by-step explanation:
A. 1/4*2/2 = 2/8
B. 3/4*3/3 = 9/12 not10/12
C. 5/10*5/5 = 1/2
D. 10/12 divided by 2/2 = 5/6
Please help me with this on the image
Answer:
hope this may help u
q. no (a)= 60%
(b)=55%
Answer:
a) [tex]\frac{6}{10}[/tex] = [tex]\frac{3}{5}[/tex] = .6 or 60%
b) [tex]\frac{11}{20}[/tex] = .55 or 55%
Step-by-step explanation:
Count the boxes.
[tex]\frac{shaded}{total}[/tex]
Divide and multiply by 100
What is -3 over 9 in standard form
Answer:
-1/3
Step-by-step explanation:
-3/9
= -1/3
This drawing would be a step in finding which point of concurrency in a triangle?
Answer:
B. Orthocenter
Step-by-step explanation:
The orthocenter of a triangle is the point of intersection of the three altitudes (the perpendicular from a vertex to the side facing the vertex) of a triangle
The steps used in constructing the orthocenter includes the steps for drawing of the perpendicular to the sides of the triangle from a point which is the vertex opposite the side of the triangle
Therefore, in the given diagram, a perpendicular to the side KS is drawn from the (vertex) point W, by drawing an arc with center at W that intersects the side KS at two points. Rom the points of intersection of the arc drawn from W intersects KS, with the compass, two arcs are drawn to intersect at a point from which a line drawn to W, is perpendicular to KS
Therefore;
The correct option is B. orthocenter
What is the recursive formula for this geometric sequence?
-4, -24, -144, -864, ...
= -4
O A.
an =
2n-1 • 30
OB.
la = -4
ar = 2n-16
fa
= -6
C.
= 2n-1 • 30
= -6
O D.
lan
ar = 2n-1.4
Answer:
a1 = -4
an = an-1 * 6
Step-by-step explanation:
-4, -24, -144, -864, ...
First find the common ratio
Take the second term and divide by the first term
-24/-4 = 6
The common ratio is 6
The recursive formula is
a1 = -4
an = an-1 * 6
What is the measure of ∠
A. 6°
B. 42°
C. 60°
D. 49°
Answer:
<XYZ is equal to 49°
Step-by-step explanation:
Set the two expressions equal to each other so 7x+7=5x+19. Subtract 5x from 7x and 7 from 19 which is equal to 2x=12 that means x is 6. then plug 6 into (7x+7) which is equal to 49.
Select the correct answer.
What is the value of x in the triangle?
Answer:
The answer is A. 21
Hope it helps.
Step-by-step explanation:
• • •
Which of the following is the solution to the equation x + 8.6 = 36.2?
10.4
17.2
27.6
44.8
Answer:
27.6
Step-by-step explanation:
x+8.6=36.2
Subtract 8.6 from both sides.
x=36.2-8.6
Subtract 8.6 from 36.2 to get 27.6.
x=27.6
6 – x + = 6 minus StartFraction 3 Over 4 EndFraction x plus StartFraction 1 Over 3 EndFraction equals StartFraction one-half EndFraction x plus 5.X + 5 2 3 6 12
Answer:
x = 16/15
Step-by-step explanation:
Given:
6 - 3/4x + 1/3 = 1/2x + 5
Collect like terms
6 + 1/3 - 5 = 1/2x + 3/4x
(18+1-15)/3 = (2x+3x)/4
4/3 = 5/4x
x = 4/3 ÷ 5/4
x = 4/3 × 4/5
x = (4 * 4) / (3 * 5)
x = 16/15
Can I know the answer for the above questions
Answer:
Step-by-step explanation:
Using a deck of 52 playing cards, what are the odds against drawing a 6,7,8, or 9 ?
