The area of the rectangle, as shown in the image given is calculated as: 48 square units.
What is the Area of a Rectangle?The area of a rectangle = length × width.
Find the length and width of the rectangle:
Length (BC) = 8 unitsWidth (AB) = 6 unitsArea of rectangle ABCD = 8 × 6 = 48 square units.
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help me please i still struggle
Answer:
59 degrees
Step-by-step explanation:
Angles on a straight line add up to 180 degrees
Angles in a triangle add up to 280 degrees
180 minus 149 is 31
31 add 90 is 121
180 minus 121 is 59
Translate the shape A three squares right and three squares up.What are the coordinates of the vertices of the image?
Answer:
see explanation
Step-by-step explanation:
a translation of 3 squares right means add 3 to the x- coordinate
a translation of 3 squares up means add 3 to the y- coordinate
then
(1, 1 ) → (1 + 3, 1 + 3 ) → (4, 4 )
(3, 1 ) → (3 + 3, 1 + 3 ) → (6, 4 )
(1, 4 ) → (1 + 3, 4 + 3 ) → (4, 7 )
Which is the correct product of the significant figures 3.278 and 4.23? a. 14 b. 13.9 c. 13.86 d. 13.865 e. 13.86594
The correct answer is option E. which is the product will be 13.86594.
What is the product?Multiplication is the process of determining the product of two or more numbers in mathematics. Given numbers are 3.278 and 4.23.
The product of the two numbers will be calculated as:-
P = 3.278 x 4.23
P = 13.86594.
Therefore the correct answer is option E. which is the product will be 13.86594.
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Answer:b
Step-by-step explanation:
The ratio of ann's age to bob's age is 3:4
in 7 years time this ratio will be 4:5
0) what are their ages now?
(1) after how many years (from now)
will the ratio be 5:6?
Ann and Bob's age is 21 years and 28 years respectively and after 14 years the ratio will be 5:6.
What is Ratio ?
The comparison of one quantity to other is called a ratio and when two ratios are equal they are said to be in proportion.
It is given in the question that
The ratio of Ann's age to bob's age is 3:4
in 7 years time this ratio will be 4:5
their ages now = ?
Let the age of Ann and Bob is x and y
x:y = 3:4
x =(3/4)y
After seven years
(x+7):(y+7) = 4 :5
(x+7)/(y+7) = 4/5
((3/4)y +7)/(y+7) = 4/5
(3y +28)/(y+7) = 16/5
5*(3y+28)= 16(y+7)
15y +140 = 16y+112
y = 140-112
y =28 years
x = 21 years.
After x years suppose the ratio is 5 :6
(21+x)/(28+x) = 5:6
126 +6x = 140 + 5x
x = 14 years.
Therefore after 14 years the ratio will be 5:6.
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Estimate the quotient of 21.49 ÷ 3.76 using compatible numbers.
The quotient of 21.49 ÷ 3.76 using compatible numbers is approximately 5.69
What are quotients?Quotients are result derived from the ratio of two rational or integers. Given the expression
21.49 ÷ 3.76
Convert to fraction
21.49 ÷ 3.76 = 2140/100 ÷ 376/100
21.49 ÷ 3.76 = 2140/376
21.49 ÷ 3.76 = 5.69
Hence the quotient of 21.49 ÷ 3.76 using compatible numbers is approximately 5.69
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Suppose that y varies directly with x and inversely with z, and y = 4 when x = 8 and z = 14. find z when x = 36 and y = 6. first, what is the equation of variation? y =
The value of z if x = 36 and y = 6 is 42
Direct and inverse variationSuppose that y varies directly with x and inversely with z, hence the required expression will be:
y = kx/z
If y = 4 when x = 8 and z = 14 then;
4 = k(8)/14
8k = 56
k = 7
To find z when x = 36 and y = 6, we will have:
6 = 7(36)/z
1 = 7(6)/z
z = 42
Hence the value of z if x = 36 and y = 6 is 42
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Answer:
Keep it simple. Answer:
y=kx/z
k=7
z=42
Step-by-step explanation:
Consider the expression 5/6(1/2x+6)-3x
What is the value of the expression evaluated for x=
12?
-26
-25
12
46
The value of the expression if x is equivalent to 12 is - 26
Functions and valuesGiven the expression
f(x) = 5/6(1/2x+6)-3x
If the value of x is 12, then;
f(12) = 5/6(1/2(12)+6)-3(12)
f(12) = 5/6(6+6) - 36
Simplify
f(12) = 5/6(12) - 36
f(12) = 10 - 36
f(12) = -26
Hence the value of the expression if x is equivalent to 12 is - 26
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Identify the expressions for which limits exist.
Answer:
Step-by-step explanation:
Limits exist for:
[tex]\lim_{x \to4 \4} \frac{x^2 -x-12}{4-x}[/tex] = [tex]\frac{(x-4)(x+3)}{4-x}[/tex] = ( - 1 )( x + 3 ) = - 7
[tex]\lim_{x \to \ 2} \frac{x^2 +2x-8}{2-x}[/tex] = [tex]\frac{(x+4)(x-2)}{2-x}[/tex] = ( - 1 )( x + 4 ) = - 6
[tex]\lim_{x \to2 } \frac{x^2 +3x - 10}{x^2 -4}[/tex] = [tex]\frac{(x+5)(x-2)}{(x+2)(x-2)}[/tex] = [tex]\frac{x+5}{x+2}[/tex] = [tex]\frac{7}{4}[/tex]
Kevin evaluated the expression below. 75 - 6 (8 - 6) + 3 Step 1: 75 - 6 x 2 + 3 Step 2: 75 - 6 x 5 Step 3: 75 - 30 Step 4: 45 Kevin made an error in solving the expression. What error did Kevin make? Which step contains the error? What error did Kevin make? Explain how you would correct Kevin's error. Be sure to include the correct answer in your explanation.
The error Kevin made was in step 2 when he added before he multiplied.
What error did Kevin make?
This question would be solved using the BODMAS rule. The BODMAS rule provides the order in which mathematical problems should be solved. The order is:
bracket of division multiplication addition subtractionStep 1 : 75 - 6 x 2 + 3Step 2: 75 - 12 + 3 Step 3 : 75 - 9 Step 4: 66To learn more about addition, please check: https://brainly.com/question/349488
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Horizontal stadia sights. Determine the error in distance if the uppermost portion of a 3. 0m long stadia rod is inclined 14 cm toward the observer and the rod intercept is 1. 75m on a horizontal sight
The error in the distance if the uppermost portion of a 3. 0m long stadia rod is inclined 14 cm toward the observer and the rod intercept is 1. 75m on a horizontal sight is 8.167cm.
What is Tangent (Tanθ)?The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,
Tan(θ) = Perpendicular/Base
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The base is the adjacent smaller side of the angle θ.
Given the uppermost portion of a that is 3.0m long stadia rod is inclined 14 cm toward the observer, therefore, the angle of inclination, θ can be written as
tan(θ)=0.14/3
θ = 2.672°
Also, the rod intercept is 1.75m, therefore, t the error in distance in the distance is,
tanθ=x/1.75
x = 1.75 tan(θ)
x = 1.75 × tan(2.672°)
x = 0.08167 m = 8.167 cm
Hence, the error in the distance if the uppermost portion of a 3. 0m long stadia rod is inclined 14 cm toward the observer and the rod intercept is 1. 75m on a horizontal sight is 8.167cm.
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Analyze the diagram below and answer the question that follows. How much larger is the value of x than the value of y? A. 20 B. 70 C. 90 D. 110 Please select the best answer from the choices provided A B C D
Each of the pairs of the opposite angles made by two intersecting lines are called vertical angles. The value of x is 110 more than the value of y.
What are vertical angles?Each of the pairs of the opposite angles made by two intersecting lines are called vertical angles.
The ∠AOB and ∠COD will be equal to each other because the two angle are vertically opposite angles. Therefore, we can write,
∠COD = ∠AOB
x + 2y = 50
x = 50 - 2y
Since angle ∠BOC and ∠COD are on the same line, the sum of this two angle will be equal to 180°. Therefore,
∠BOC + ∠COD = 180°
x - 2y + x + 2y = 180
2x = 180°
x = 90°
Substitue the value of x,
x + 2y = 50
90 + 2y = 50
2y = -40
y = -20
The difference in the value of x and y is,
Difference = 90 - (-20) = 110
Hence, the value of x is 110 more than the value of y.
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What is the slope of the line that passes through (-2, 7) and (4, 9)
Answer: The slope is 1/3
Step-by-step explanation:
m = y2-y1/x2-x1
m =9-7/4+2
m=2/6
m=1/3
Answer:
The slope is 1/3
Step-by-step explanation:
m=y2-y1/x2-x1
m=9-7/4-(-2)
m=2/6
m=1/3
Latoya created a factor tree and wrote the prime factorization of 90 shown below.
Answer:
it’s b
Step-by-step explanation:
the answer is 2x3x3x5, but it’s the same thing when you put an exponent of two on a 3.
Hope it helps
Sry if I’m wrong
Probability and Playing Cards
There are 52 total cards in the deck.
There are 13 spades, 13 clubs, 13 diamonds, and 13 hearts.
Each suit has the following cards: Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king.
Suppose you are dealt two cards from the deck. What is the probability of being dealt two aces?
Answer:
do the calculation below
Step-by-step explanation:
(4/52 ) *(3/51)
leave a comment if you need more help
What is the area of triangle ABC?
Answer: The area of a triangle is the region enclosed between the sides of the triangle. Area of ΔABC = 1/2 × Base × Height
Step-by-step explanation:
Area of ΔABC= 1/2 × Base × Height = 1/2 × h × BC
If ABC is an equilateral triangle, Area of ΔABC = (√3/4)a2 where a is the length of a side of the equilateral triangle.
Thus, we have seen the formula and definition of the area of triangle ABC.
6)( b)write down the ratio of white chocolates to milk chocolates 3/8
Answer:
white chocolates = 3
milk chocolates = 8
ratio= 3:8
[tex] \frac{3}{8} [/tex]
0.375
24 is 12% of what number?
Answer:
200
Step-by-step explanation:
(24 x 100) / 12
Answer = 200
To solve this problem you multiply 24 by 100 and then divide the total by 12 as follows: (24 x 100) / 12
Nevaeh models the volume of a popcorn box as a right rectangular prism. Its dimensions are 5 in by 3 in by 7 1/4 in. How many cubic inches of popcorn would it hold when it’s a quarter full? Round your answer to the nearest tenth if necessary.
The cuboid can hold 27.2 cubic inches of popcorn
What is a right rectangular prism?A right rectangular prism is also called the cuboid. it is a solid three dimensional shape with 6 faces, 12 edges and 8 vertices.
Analysis:
Volume of cuboid = length x width x height
= 5 x 3 x 29/4 = 108.75 cubic inches
When it is quarter full, volume = 1/4 x 108.75 = 27.2 cubic inches
In conclusion, the volume of the cuboid is 27.2 cubic inches.
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5600 to the nearest 1000
Answer:
6000.
Step-by-step explanation:
Hundreds digit is 6 so we round up the thousand digit (5) to get 6000.
Solve the following system of equation using inverse matrix method.
5x + 2y=4
7x + 3y=5
[tex]5x+2y = 4~~~~~~~~~~...(i)\\\\7x +3y = 5~~~~~~~~~~...(ii)\\\\\text{Write in AX = B form.}\\\\~~~~~~\begin{bmatrix}5&2\\7&3 \end{bmatrix} \begin{bmatrix} x\\y \end{bmatrix} = \begin{bmatrix} 4\\5 \end{bmatrix}\\\\\\\implies \begin{bmatrix} x\\y \end{bmatrix} = \begin{bmatrix} 4\\5 \end{bmatrix}\begin{bmatrix}5&2\\7&3 \end{bmatrix}^{-1}\\\\\\[/tex]
[tex]\\\implies \begin{bmatrix} x\\y \end{bmatrix} = \begin{bmatrix} 4\\5 \end{bmatrix}\cdot\dfrac{\begin{bmatrix} 3&-7\\-2&5\end{bmatrix}^{T}}{\begin{vmatrix}5&2\\ 7&3 \end{vmatrix}}\\\\\\\implies \begin{bmatrix} x\\y \end{bmatrix} = \begin{bmatrix} 4\\5 \end{bmatrix}\cdot\dfrac{\begin{bmatrix} 3&-2\\-7&5\end{bmatrix}}{5(3) -2(7)}\\\\\\[/tex]
[tex]\\\implies \begin{bmatrix} x\\y \end{bmatrix} = \begin{bmatrix} 4\\5 \end{bmatrix}\cdot\begin{bmatrix} 3&-2\\-7&5\end{bmatrix}\\\\\\ \implies \begin{bmatrix} x\\y \end{bmatrix} = \begin{bmatrix}12-10\\-28+25 \end{bmatrix}\\\\\\ \implies \begin{bmatrix} x\\y \end{bmatrix} = \begin{bmatrix}2\\-3\end{bmatrix}\\\\\\\text{Hence,}~ (x,y) = (2,-3)[/tex]
HELPPPPPP ITS FOR MY FINALLLL
click the photo below
Answer:
28
Step-by-step explanation:
▪︎ ADE and ABC are similar triangles (AAA)
▪︎ DA = DB + BA = 30 + 12 = 42
▪︎ k = DA / BA = 42 / 12 = 3.5
▪︎ DE = BC * k = 8 * 3.5 = 28
Help me pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeee.
Answer:
it's 8
Step-by-step explanation:
the lil hand is on the 8 and the big hand is on the 12
Answer:
The time is 8:00 but with out a question im not sure what your asking
Step-by-step explanation:
what is 1/4×2/5÷1/3 as a fraction
please help
Answer:
3/10
Step-by-step explanation:
Please give brainliest!
hope this helps :)
the first step is to multiply 1/4 and 2/5
1/4 times 2/5 = 2/20
you figure this out by multiplying the numerators and denominators.
next, we solve 2/20 ÷ 1/3
we do this by taking the reciprocal of 1/3, which is 3/1, and then multiplying the fractions
2/20 times 3/1 = 6/20
6/20 = 3/10
You move left 5 units. You end at (-1, 5). Where did you start?
Answer:
(4,5)
Step-by-step explanation:
Hello!
If you move 5 units to the left, you change the x-value in (x, y) by -5.
Let the original x-value be x:
x - 5 = -1x = 4The original x-value is 4. Since you didn't change the y-value (up/down), you can keep the same y-value for the coordinate.
The original point was at (4,5)
Answer:
You started at (4, 5)
Step-by-step explanation:
The first number of coordinate pair is x. you started at the right and THEN moved the the left, as stated in the question. So -1 + 5 is 4.
So you started at (4, 5)
help me pls I need to get my grade up before July 11th so help ASAP
Write the expression 5x(x + 9) − 7(x + 9) in complete factored form.
A.
(x + 9)(x + 9)
B.
(5x − 7)(x + 9)
C.
(5x − 7)(x + 9)(x + 9)
D.
(5x2 + 45x)(-7x − 63)
How do I solve and find x?
Answer:
x = 76.5
Step-by-step explanation:
[tex]\frac{x}{4.5}[/tex] = 22 - 5
[tex]\frac{x}{4.5}[/tex] = 17
x = 17 x 4.5
x = 76.5
Which represents the inverse of the function f(x) = 4x?
O h(x) = x +4
O h(x) = x-4
O h(x) = =x
h(x) = ÷x
Answer:
h(x) = 1/4 x
Step-by-step explanation:
h(x) = x + 4, h(x) = x – 4, h(x) = 3/4 x, h(x) = 1/4 x. Summary: The equation which represents the inverse of the function f(x) = 4x is h(x) = 1/4 x.
Write a recursive formula for a_na n , the n^{\text{th}}n th term of the sequence 50, -10, 2, ...50,−10,2,....
The recursive formula of the sequence is [tex]a_n = -\frac{a_{n-1} }{5}[/tex] where a1 = 50
How to determine the recursive sequence?The sequence is given as:
50,−10,2,....
The above sequence is a geometric sequence, and it has the following parameters:
First term, a = 50Common ratio, r = -1/5 i.e. -10/50 = 5This means that the product of the current term and -1/5 gives the next term.
i.e.
[tex]a_n = -\frac{a_{n-1} }{5}[/tex]
Hence, the recursive formula of the sequence is [tex]a_n = -\frac{a_{n-1} }{5}[/tex] where a1 = 50
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rearrange the equation so b is the independent variable
a - 7 = 3(b+2)
a = ?