What is the equation of the line that passes through the point (-6, 6) and has an
undefined slope?
Answer:
x = -6
Step-by-step explanation:
undefined slope is always an x = line
so just do x = whatever x is
hope this helps <3
how do i solve this question?
Answer:
[tex]x = 18[/tex]
[tex]y = 6\sqrt{3}[/tex]
Step-by-step explanation:
Trigonometric Ratios
The ratios of the sides of a right triangle are called trigonometric ratios. The longest side of a right triangle is called the hypotenuse and the other two sides are called the legs.
Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides as follows:
Cosine Ratio
[tex]\displaystyle \cos\theta=\frac{\text{adjacent leg}}{\text{hypotenuse}}[/tex]
Sine Ratio
[tex]\displaystyle \sin\theta=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]
Consider the angle of θ=30°, then we can write:
[tex]\displaystyle \cos 30^\circ=\frac{x}{12\sqrt{3}}[/tex]
Solving for x:
[tex]x=12\sqrt{3}\cos 30^\circ[/tex]
Since:
[tex]\cos 30^\circ=\frac{\sqrt{3}}{2}[/tex]
Then:
[tex]x=12\sqrt{3}\cdot \frac{\sqrt{3}}{2}[/tex]
[tex]x = 18[/tex]
Now apply the sine:
[tex]\displaystyle \sin 30^\circ=\frac{y}{12\sqrt{3}}[/tex]
Solving for y:
[tex]y=12\sqrt{3}\sin 30^\circ[/tex]
Since:
[tex]\sin 30^\circ=\frac{1}{2}[/tex]
Then:
[tex]y=12\sqrt{3}\cdot \frac{1}{2}[/tex]
[tex]y = 6\sqrt{3}[/tex]
Answer:
[tex]x = 18[/tex]
[tex]y = 6\sqrt{3}[/tex]
In ΔTUV, the measure of ∠V=90°, VT = 45 feet, and TU = 90 feet. Find the measure of ∠T to the nearest degree.
Answer:
60 on delta math
Answer:
60
Step-by-step explanation:
delta math answer
how do i answer this please?
Answer:
a) [tex]5\sqrt{3} + 3\sqrt{5}[/tex]
b) [tex]4(\sqrt{2} + \sqrt{7})[/tex]
Step-by-step explanation:
a) [tex]9\sqrt{3} - 4\sqrt{3} +\sqrt{5} + 2\sqrt{5}[/tex]
Taking √3 & √5 common respectively,
[tex]=> \sqrt{3} (9 - 4) + \sqrt{5} (1 + 2)[/tex]
[tex]=> 5\sqrt{3} + 3\sqrt{5}[/tex]
b) [tex]10\sqrt{2} + 4\sqrt{7} - 6\sqrt{2}[/tex]
Taking √2 common ,
[tex]=> \sqrt{2} (10-6) + 4\sqrt{7}[/tex]
[tex]=> 4\sqrt{2} + 4\sqrt{7}[/tex]
Taking 4 common ,
[tex]=> 4(\sqrt{2} + \sqrt{7})[/tex]
The wildflowers began blooming by my house at the beginning of March. The first week there were 88 blooms. After week two, there were 176 flowers in bloom. If the flowers continue to bloom at the same rate each week, how many flowers will there be after 6 weeks?
Answer:528
Step-by-step explanation:
This one is just like the other one but different numbers. if you add 88 and 88 you get 176 so that means 88 blooms each week soooooo if you multiply 88 x 6 you would get 528
Translate the following into an algebraic expression: "five less than the product of 7 and
the square root of a number" can be written as:
05-713
o 5 - 70
O TX-15
073-5
Answer:
7√x - 5
Step-by-step explanation:
Let the number be x
The product of 7 and the square root of a number is expressed as;
7 * √x
= 7√x
five less than the product of 7 and the square root of a number will be expressed as;
7√x - 5
Hence the required expression is 7√x - 5
Willie and anjali each improved their yards by planting daylilies and ivy. They bought their supplies from the same store. Willie spent $116 on 12 daylilies and 4 pots of ivy. Anjali spent $60 on 6 daylilies and 3 pots of ivy. Find the cost of one daylily and the cost of one pot of ivy
Answer:the cost of one day lily = $9 and cost of one pot of ivy = $2
Step-by-step explanation:
Step 1
let day lilies be rep as d
and ivy be represented as i
So that The expression for what Willie spent on 12 day lilies and 4 pots of ivy = $116 be
12 d+ 4i = 116 ---- equation 1
and for Anjali spending $60 on 6 day lilies and 3 pots of ivy be
6d+ 3i = $60------ equation 2
Step 2 --- Solving
12 d+ 4i = 116 ---- equation 1
6d+ 3i = $60------ equation 2
Multiply equation 2 by (2) and subtracting equation 1 from it
12d+ 6i= 120
--12 d+ 4i = 116
2 i= 4
i = 4/2 = 2
TO find d, putting the value of i = 2 in equation 1 and solving
12d+ 4(2) = 116
12d= 116-8
12d= 108
d= 108/12= 9
Therefore the cost of one day lily = $9 and cost of one pot of ivy = $2
please help I'll give brainliest
Alice is going to invest some money for 5 years.
She can choose from two options:
Investment A: 2.7% compound interest per annum
Investment B: 2.8% simple interest per annum
Which investment should Alice choose
Answer:
Option AStep-by-step explanation:
Let the amount be P
Compound interest:
P*(1 + 0.027)^5 = P*1.1425 roundedSimple interest:
P*(1 + 0.028*5) = P*1.14Alice should choose compound interest, Option A
A regular octagonal pyramid. Each side of the base is 6 cm long. it has a height of 10cm. Find the surface area of the pyramid
9514 1404 393
Answer:
470.16 cm²
Step-by-step explanation:
The apothem of the base is used for two purposes: to find the area of the base, and to find the slant height of each face.
The apothem of the base for side length s is ...
s/2 = a·tan(π/8)
a = s/(2·tan(π/8)) ≈ 7.24 cm
The slant height of a triangular face is found using the Pythagorean theorem. The apothem of the base and the height are legs of the right triangle whose hypotenuse is the slant height. For slant height x, we have ...
x² = 10² + a² = 100 +52.46
x ≈ √152.46 ≈ 12.35
__
The area of the 8 triangular faces will be ...
A = 1/2Px . . . . where P is the perimeter of the pyramid
The area of the base will be ...
A = 1/2Pa
So, the total surface area is ...
A = 1/2P(a + x) = (1/2)(8)(6 cm)(7.24 +12.35 cm) ≈ 470.16 cm²
The answer is 470.16 cm²
Lines AB, CD, and LK intersect as shown in the diagram . Find M
the last one is the answer
The measurement of ∠ CSK = 110.2°
What is Parallel line?Parallel lines are those lines that are equidistant from each other and never meet, no matter how much they may be extended in either directions.
Given that Lines AB, CD, and LK intersects at R and S respectively,
m∠LRB = (3x - 2)° and m∠RSC = (2x - 5)
m∠LRB = m∠CSK → (Alternate exterior angles)
m∠CSK + m∠RSC = 180° → (Linear pair angles)
Therefore, m∠LRB + m∠RSC = 180°
(3x - 2)° + (2x - 5) = 180°
5x - 7 = 180°
5x = 187°
x = 37.4°
So, m∠CSK = (3x - 2)°
(3x - 2)° = 3*37.4 - 2
m∠CSK = 110.2°
Hence, The measurement of ∠ CSK = 110.2°
For more references on Parallel lines, click;
https://brainly.com/question/16701300
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10 builders can build a house in 20 days. How many builders
will you need build the house in 10 days?
Answer:
20 builders
Step-by-step explanation:
Answer: 20 builders.
Step-by-step explanation: For 10 builders to build a house in 20 days, the ratio is 1:2. For builders to build a house in 10 days, the ratio is x:10. You then cross multiply 1:2 and x:10. Then x=20 so 20 builders.
Write an equation of the line that passes through the given points.
(2,6) (-4,-2)
Answer:
y = 8/6x + 10/3
Step-by-step explanation:
You find the slope (m) first which is
Change of y over change of x
(6) - (-2) over (2)- (-4)
8/6 = m
Then you plug it into the equation y = mx + b
y = (8/6)x + b
Now you pick any of the set of points to plug in for x and y to solve for b
(6) = (8/6)(2) + b
6 = 8/3 + b
b = 10/3
Then plug into the equation for just m and b to get the equation of the line that passes thru both sets of points.
y = 8/6x + 10/3
Which of these triangles appears notto be congruent to any others shown
here? Check all that apply.
A. Triangle A
B. Triangle B
C. Triangle C
D. Triangle D
E. Triangle E
F. Triangle F
Janice paid $820 plus 7% sales tax for her airfare. How much did she pay in total for her airfare?
Answer:
877.40
Step-by-step explanation:
(5) Find the value of the variable. The diagram is not to scale.
Answer:
x = 19 degrees
Step-by-step explanation:
180 - 114 = 66
180 - 66 = 114
Other triangle angle is 114 degrees
114 + 47 = 161
180 - 161 = 19
x = 19 degrees
Lesson 4-1 Solving Systems of Equations by Graphing
Answer:
Where's the question?
Step-by-step explanation:
Answer:
we cant answer it theres no backup to the question
Step-by-step explanation:
Florance made an apple pie, she used 7/8 of a tablespoon of cinnamon and 3/4 of a tablespoon of nutmeg
Answer:
1 5/8
Step-by-step explanation:
help im confused!! i need to find the x
Can someone help me on 2/3-3/8 show work
Answer:
It is 7/24
Step-by-step explanation:
So first you want a common denominator so we have to find the least common multiple of 3 and 8, which is 24.
Next you have to multiply the same to the numerator, I usually go by the phrase whatever you do to the bottom you do to the top. So 8 times 2 is 16 and 3 times 3 is nine.
Everything changed should be 16/24-9/24
then we do 16-9 is 7 and you never subtract the denominators so 2/3-3/8 is 7/24
Sarah peeled 84 oranges in 7 hours. At that rate, how many oranges would she peel in 15 minutes?
35 - 21 + 6m write a equivalent expression for this
Answer:
6m+14Step-by-step explanation:
[tex]35 - 21 + 6m[/tex]
Simplify : Subtract
[tex]35 - 21 = 14 \\ 14 + 6m \\ 6m + 14[/tex]
Which of the following shapes are rectangles? Choose two answers!!!! Please helpppp !!!!!!!!!!!!!!
Answer:
A&D
Step-by-step explanation:
Answer:
A. and C.
Step-by-step explanation:
because 2, 2 sides are equal of four line boxes
WHATS THE ANSWER PLEASE HURRY
Answer:
2.2 * 2.2 = 4.84
4.84 * 6 = 29.04
what's the answer please
THIS IS NOT THE ANSWER, IT'S AN EXAMPLE!!
(You didn't show the numbers that were given for me to answer this. BUT in the example, it shows you how to solve it. Just replace the numbers I put with the ones you were given. If you want me to solve it still, please comment the numbers on this for the answer)
Example; First, write the formula.
A=bh
Next, substitute in the values you have been given.
A=6×2
Then, do the multiplication.
A=12
The answer is 12 sq. cm.
hi waht is m⁵×m⁴ in algebra maths
Answer:
m⁹
Step-by-step explanation:
In such questions , when any two or more numbers with exponents are multiplied and their bases are equal , the exponents of all the numbers add up . So ,
[tex]m^{5} \times m^{4} = m^{5+4} = m^{9}[/tex]
please help me plss
Which expression is equivalent to five ninths?
( A ) 5 ÷ 9
( B ) 9 ÷ 5
( C ) 5 − 9
( D ) 9 − 5
Answer:
A) 5÷9
Step-by-step explanation:
As, 5 is a whole number
And when the number ends with "ths" it is always the denominator
So here it is ninths so 9 will be in the denominator
Which equation represents a line which is perpendicular to the line 5x + 2y = 12?
Answer:
y = ²/₅ x - 3Step-by-step explanation:
Changing to slope-intercept form:
5x + 2y = 12 {subtract 5x from both sides}
2y = -5x + 12 {divide both sides by 2}
y = -⁵/₂ x + 6
y=m₁x+b₁ ⊥ y=m₂x+b₂ ⇔ m₁×m₂ = -1
{Two lines are perpendicular if the product of theirs slopes is equal -1}
y =-⁵/₂ x + 1 ⇒ m₁ = -⁵/₂
-⁵/₂× m₂ = -1 ⇒ m₂ = ²/₅
So, any line perpendicular to 5x + 2y = 12 must have slope m =²/₅
What is the answer???
Answer:
A. Translation, Translation
Step-by-step explanation:
The pre-image was translated 1 unit up then it was translated 4 unit to the right.
cups of water fill 4 identical water bottles. How many cups fill each bottle?
Answer:
.8 or 4/5ths cup
Step-by-step explanation:
divide number of bottles by cups
4 1/2 is 4.5
5 5/8 is 5.625
4.5/5.625 = .8 (or 4/5ths)
Right=20 points and I'll answer one of urs
Answer:
40
Step-by-step explanation:
so (48/120)× 100%=40%