Answer:
27
36 ft
45 ft
$189
Step-by-step explanation:
A scale drawing is a reduced form in terms of dimensions of an original image / building / object
the scale drawing is usually reduced at a constant dimension
scale of the drawing = original dimensions / dimensions of the scale drawing
original dimension = (8 x 9) / 2 = 36
(10 x 9) / 2 = 45
(6 x 9) / 2 = 27
cost of deck = sum of sides x cost per square feet
sum of sides = 36 + 27 + 45 = 108
108 x 1.75 = 189
If θ is an angle in standard position and its terminal side passes through the point (6,1), find the exact value of
sec
θ
secθ in simplest radical form.
Given:
θ is an angle in standard position.
Its terminal side passes through the point (6,1).
To find:
The exact value of secθ in simplest radical form.
Solution:
If θ is an angle in standard position and its terminal side passes through the point (x,y), then the exact value of secθ is:
[tex]\sec\theta =\dfrac{Hypotenuse}{Base}[/tex]
[tex]\sec\theta =\dfrac{\sqrt{x^2+y^2}}{x}[/tex]
It is given that θ is an angle in standard position and its terminal side passes through the point (6,1), then the exact value of secθ is:
[tex]\sec\theta =\dfrac{\sqrt{6^2+1^2}}{6}[/tex]
[tex]\sec\theta =\dfrac{\sqrt{36+1}}{6}[/tex]
[tex]\sec\theta =\dfrac{\sqrt{37}}{6}[/tex]
Therefore, the exact value of secθ is [tex]\dfrac{\sqrt{37}}{6}[/tex].
Help Me please!!!!! Rn
Answer:
20 degrees
Step-by-step explanation:
The sum of inner angles of a triangle is 180 degrees
120 + 40 + x = 180
160 + x = 180
x = 20
Answer:
A + 120 + 40 = 180 (interior angles of a triangle equal to 180°)
A = 180-120-40
A = 20°
For an experiment, Doris brought a container filled with snow into a warm environment. After 4
minutes, 12.88 grams of the snow remained. How many grams of snow were in the container
originally if 44% of it had melted after the 4 minutes?
Answer:
23 grams of snow
Step-by-step explanation:
44% melted, so, 100% - 44% = 56% remained.
56% = 12.88 grams
1% = 12.88/56 = 0.23 grams
100% (= original snow) = 100×1% = 100×0.23 = 23 grams
the question is kind of nonsense, because snow is made of water, and that water weighs the same, if it is in snow form or in liquid form. melting it or freezing it does not change its weight. only its volume.
so, actually the container contained 23 grams of water substance at the beginning, and still contains 23 grams of water substance.
Please help me with this
Find A^c U B if sample space S = {1 to 20}, A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, and B = {2, 4, 6, 8, 7, 10, 12, 14, 16, 18}
Answer:
Step-by-step explanation:
S={1,2,...,20}
A={1,2,3,4,5,6,7,8,9,10}
A^c={11,12,13,...,20}
B={2,4,6,8,7,10,12,16,18}
A^cU B={2,4,6,7,8,10,11,12,13,14,15,16,17,18,19,20}
gradient of line AB (3,7) and (5,11)
Answer:
Gradient is change in y over change in x.
gradient = y1-y2 ÷ x1-x2
=7-11 ÷ 3-5
=-4 ÷ -2
=2
Use the slope/gradient formula below:
[tex] \large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }[/tex]
This formula is for when we want to find the gradient when we have two given points. (We also call it Rise Over Run or changes of y over the changes of x.)
We are given two points which are (3,7) and (5,11). Substitute these points in the equation. (the ordered pairs are in (x,y) and not (y,x))
[tex] \large{m = \frac{11 - 7}{5 - 3} } \\ \large{m = \frac{4}{2} \longrightarrow \boxed{m = 2}}[/tex]
Hence, the gradient of AB is 2.
Answer
gradient is 2Write the equation of a line parallel to y = -2x +4 that goes through (-3,9). Show all
work.
151°
116°
135°
139°
101°
136° 164°
What is the value of x? PLEASE HELP
Solve the inequality and then determine which graph is correct. 55 ≤ 24 + x
Answer:
C is the answer
Step-by-step explanation:
24 + x ≥ 55
x ≥ 31
solutions are all values to the right of 31, including 31
The answer is C.
(Optional) First, reorder the terms of this inequality so you know what you're working with. (x + 24 ≥ 55)
Subtract 24 on both sides of the ≥ sign.
x ≥ 31
When using either ≤ or ≥, it will be a closed circle on a number line. The direction of the sign acts as an arrow that tells you which direction the line will be going.
A line is parallel to 5x+2y-8-0 and has the same y-intercept as x+4y-12-0.
Find the equation for the line in slope y-intercept form
Answer:
y=(-5/2)x+3
Step-by-step explanation:
5x+2y-8=0
2y=-5x+8 Divide with 2
y=(-5/2)x+4
Slope is dy/dx
dy/dx=-5/2
x+4y-12=0 for x=0
4y-12=0
4y=12 Divide with 4
y=3 y-intercept
Line equation:
y = mx + b
This is called the slope-intercept form because "m" is the slope and "b" gives the y-intercept.
m-5/2 b=3
Euation for the your line:
y=(-5/2)x+3
Marcus wants to end the semester with at least an 85 test average in his math class. On his first 3 tests, he earned 83, 97, and 80. What will he have to earn on his fourth test to have at least an 85 average? Let g represent the grade needed on his fourth test. Write an inequality that models the situation.
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]\frac{83+97+80+g}{4} \geq 85[/tex]
»»————- ★ ————-««
Here’s why:
The average is found by dividing the sum of the values by the number of values.⸻⸻⸻⸻
[tex]\frac{83+97+80+g}{4} \geq 85[/tex]
⸻⸻⸻⸻
The numerator would consist of the test grades and the unknown 'g' and the denominator would be the number of tests he taken.
"At least" indicates a greater than or equal to inequality.
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
help pleaseee
find the equation of the line passing through (-5, -4) and (13, 5)
Answer:
y = 1/2x - 3/2
Step-by-step explanation:
y2 - y1 / x2 - x1
5 - (-4) / 13 - (-5)
9 / 18
1/2
y = 1/2x + b
-4 = 1/2(-5) + b
-4 = -5/2 + b
-3/2 = b
Which of the following expressions represents the distance between-1/4 and 3/4
Answer:
|-1/4 - 3/4|
Step-by-step explanation:
To get the distance, take the absolute value of the second point minus the first point
| 3/4 - - 1/4|
|3/4 + 1/4|
We can also take the absolute value of the first point minus the second point
|-1/4 - 3/4|
f(n) = 4n +7
Is it geometric or arthmetric
Answer:
geomatric
Step-by-step explanation:
Answer:
Arithmetic
Step-by-step explanation:
The difference between terms is constant
It costs a family 216 dollars to refinish a wood floor. They want to refinish the floor in a larger room. The ratio of length of corresponding sides is 3:4. How much would it cost to finish the floor.
Answer:
It costs a family 216 dollars to refinish a wood floor. They want to refinish the floor in a larger room. The ratio of length of corresponding sides is 3:4. How much would it cost to finish the floor.
Step-by-step explanation:
Which of these are a trinomial
Hi there!
»»————- ★ ————-««
I believe your answer is:
D) [tex]c^2+c+6[/tex]
»»————- ★ ————-««
Here’s why:
A trinomial is a expression that consists of three terms. A term can be a number, variable, or both numbers and variables that are multiplied together. Answer choice 'D' has three terms, c², 'c', and '6'. Therefore, it is a trinomial.»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Use the Distributive Property to find 1/3×6 1/2.
ILL MARK YOU SOMETHING LIKE BRAINY GENIUS
Answer:
2 1/6 or 13/6
Step-by-step explanation:
Equation: [tex]\frac{1}{3}[/tex] × 6[tex]\frac{1}{2}[/tex]
Distribute: (1/3) ( 6 + 1/2)
(1/3)(6) + (1/3)(1/2)
2 + 1/6
2 1/6 or 13/6
Solve the equation. 9a = 81 what does a equal
Answer:
a=9
divide 81 by 9 on both sides and you get 9.
Step-by-step explanation:
Answer:
a = 9
Step-by-step explanation:
To solve this equation for a, divide both sides by 9.
The result is a = 81/9, or a = 9.
An architect drew plans for an office building.
The building will have the dimensions shown.
Building is made up of 2 cuboids. First cuboid has length as 10 ft, height as 12 ft and width as 10ft. Second cuboid has length as 10 ft, height as 30 ft and width as 10 ft.
Part A
Which is an expression for the total volume of the building?
A. (20 × 10 × 30) + (12 × 10 × 10)
B. (10 × 10 × 30) + (10 × 10 × 12)
C. (30 × 10 × 10) + (10 × 10 × 20)
D. (10 × 20 × 30) + (10 × 12 × 20)
Part B
What is the volume of the building? Enter your answer in the box.
ft3
Answer:
b
Step-by-step explanation:
Item
Sales Tax (7%)
Total Price
Play Station 5 - $500
Hoverboard - $125
Find the measure of angle D
Answer:
Step-by-step explanation:
You can't see the picture really well
the cost price of a dress is $640. At a sale 20% discount is given. What is the selling price of the dress.
A. $128,
B.$512
C. $660,
D. $768
Answer:
512$
Step-by-step explanation:
640$-640$.20/100=512$
Plz help I'll give u brainlyest
Round 0.006772 to 1 significant figures.
Answer:0.007
Step-by-step explanation: the number after 6 is more than half of ten,therefore it is added to 6 as 1.To leave you with one significant figure.
0 is insignificant
Can someone help me please TwT
Divide using long division! Show your work. As soon as possible!
Answer:
Step-by-step explanation:
if you've any doubt just ask :)
Find the median for the following list of values:
1, 2, 4, 7
Answer:
3
Step-by-step explanation:
Since there are an even number of data points (there are 4 points), and since the data has already been written in ascending order, the median is the average of the middle two terms: (2 + 4)/2 = 3
Answer:
Median: 3
Step-by-step explanation:
Median: the number in the middle
1, 2, 4, 7
Median is between 2, 4
Therefore, the median is 3
The original price of a skateboard, not including tax, was $96. Charlie bought the skateboard on sale, and he saved 30% off of the original price.
What was the sale price of the skateboard?
Solve for x and show your work.
• GIVING BRAINLIEST!
Explain why the square root of a number is defined to be
equal to that number to the 1/2 power.
Answer:
The square root is the inverse operation to the power of 2, so that whenever you take a number and perform both actions on it, you get the same number back.
Sample Answer: Squaring and square root are inverses, so one should "undo" the other. That is, squaring the square root of a number results in the number. Using the power of a power rule, you multiply the exponents. Since a number to the first power is itself, the product of the exponents must equal 1. This means that the power of the square root must be the reciprocal of 2, or one half.