Answer:I feel like it’s either C or B
Step-by-step explanation:
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]
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
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
I need help cause I’m lazy to do it myself it’s 4 in the morning
Answer:
C. Mario should have multiplied the x-values by $6.50 to get the y values.
Step-by-step explanation:
Let's do it the way they said. If we were to multiply 1 by 65, it would be $65. If we did the same thing for 2, 2 x 65 is $130. This is incorrect because these values do not match up with the ones on the graph.
Decimal points are important in this case because it completely changes your answer. When you multiply 1 by 6.50, you get 6.50. Which is what's on the graph. Multiply 2 by 6.50 and you'll get $13, and so on.
So now we can conclude that the mistake Mario made was that he multiplied x by the wrong value (65), when it should have been $6.50.
Note: Hope this helps! Good luck on your test. :)
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
Sarah peeled 84 oranges in 7 hours. At that rate, how many oranges would she peel in 15 minutes?
HELP Darius owns a business that manufactures and sells record players, now that vinyl records have resurged in popularity. The graph shows Darius's expected revenue and cost in relation to the price he sets for each record player.
Answer: 32 and 85
Step-by-step explanation:
Darius set the price between $32 and $85.
What is Graph?The graph is simply a structured representation of the data. It aids in our comprehension of the data. The numerical information gathered through observation is referred to as data.
Given:
We have the graph shows Darius's expected revenue and cost in relation to the price he sets for each record player.
For the expected revenue = 32 the cost is $5539.
and, For the expected revenue = 85 the cost is $4062.
and there is a peak at expected revenue 52.
Then, for profit Darius set the price between $32 and $85.
Learn more about Graph here:
https://brainly.com/question/17267403
#SPJ5
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]
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
Can somebody help me. Will mark brainliest.
Answer:
the reasoning for 1 2 and 3 are given and then the statement for 4 is triangle abc = triangle cde and its reasoning is sss theorem (side-side-side)
Step-by-step explanation:
1, 2 and 3 are basically given and then 4 is SSS Theorem since all three sides of the first triangle are equal to all three sides of the second triangle
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
solve the equation y=5x+3,x²-y³+45=0
Answer:
y=3.5572205
x=0.1114441
Step-by-step explanation:
In triangle QRS, the measure of
angle Q is 70º. Angle R is
congruent to angle S. What is the
measure of angle R in degrees?
Answer:
55 degrees :)
Step-by-step explanation:
all triangles add up to 180 degrees.
we already have 70 degrees and since <S = <R they are the same # of degrees.
subtract 70 from 180 and we get 110.
divide 110 by 2=55
<S 55
<R 55
<Q 70
Answer:
62
Step-by-step explanation:
2) You have 4 Dragon Ball Z drawings and 5
Pokemon drawings. Your brother has the same
ratio of Dragon Ball Z to Pokemon drawings,
only he has 10 Dragon Ball Z drawings. How
many Pokemon drawing does he have? Show
your work. (Hint, you can have a fraction of a
drawing if it is part way done).
Answer:
4z:5p
4+5=9
10/9=1.11111...
1.11111*5=5.55555......or 50/9 or 5 5/9
Step-by-step explanation:
Answer:
guess what I don't know
Step-by-step explanation:
What is Thuy’s error?
Thuy should have written the ratio as StartFraction 30 inches over 3 inches EndFraction.
Thuy should have written the ratio as StartFraction 30 inches over 39 inches EndFraction.
Thuy should have divided both numbers by 6.
Thuy should have divided both numbers by 13.
Answer:
number b
Step-by-step explanation:
thuy should have written the ratio as 30/39
Pls help me it’s overdue!!!
Answer:
Step-by-step explanation:
a = 1935 / 5 is the change
b = 1960 / 10 is the change
c = 1950 / 20 is the change
They are all increasing i'd assume they all went threw a positive change
Calculate these, and write each awnser in Standard Form.
Step-by-step explanation:
Do you need answers to all of them of some of them?
1. (4.5×10¹²)÷(9×10^10)
(45×10^-1×10¹²)÷(9×10^10)
(45×10¹¹)÷(9×10^10)
(45÷9)×(10¹¹÷10^10)
5×10
if you need help with the others kindly let me know
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]
Blue Line Red Line
y-intercept
slope
Inequality
Answer:
Y-intercept
Step-by-step explanation:
Because they both meet
is this a function? pls help
Answer:
It would be no
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:
Need this very badly
Answer:
a.) 94 cm^2
Step-by-step explanation:
3 x 4 = 12
5 x 3 = 15
4 x 5 = 20
12 + 12 + 15 + 15 + 20 + 20 = 94
Answer: 94 cm squared
Step-by-step explanation:
What are the values of the expression??
(-10)2 and -102.
I need the answer please help me
Answer:
-29.988 or if you round up -30
Step-by-step explanation:
1) Convert fractions to decimals
3.6 x (-8.33) = -29.988
Answer:
I think its this but not sure
Find WZY. (helpp fast)
Answer:
[tex]m\angle WZY = 24^\circ[/tex]
Step-by-step explanation:
Angles and Lines
The figure shows two triangles WXZ and WYZ. Considering:
* Angles WXZ and WYZ are right (90°)
* Sides XW and YW are congruent (red marker on both)
* They share the side WZ.
We can conclude they are congruent. Thus, angles XZW and YZW are congruent or have the same measure:
5x + 4 = 6x
Subtracting 5x:
4 = x
Or, x =4
Thus:
[tex]m\angle WZY = 6x = 24^\circ[/tex]
[tex]\mathbf{m\angle WZY = 24^\circ}[/tex]
Determine how far the vehicle travels in 3 hours.
A motorcycle travels 25 miles every 0.5 hour.
Answer:
Motorcycle travel 150 miles in 3 hours
step by step explanation:
3:0,5=6
25
. 6
___
150
PLEASE HELP WITH MARK BRAINIEST
A rabbit can hop 6 feet in 2 seconds and 12 feet in 4 seconds. If the number of feet varies directly with the time the rabbit spends hopping, at what speed is the rabbit hopping?
Answer:
3 feet per second isnt this really easy tho-
Step-by-step explanation:
Can u help me understand how to write a function for the rule "the output is 3 less than 5 times the input" thanks :)
Answer:
I think it would be something like 5x - 3 =
Kate started with a piece of bubblegum that was 5/8 in wide. She later blew a bubble that was 2 7/8 in wide. How much wider was Kates bubble than the original price
Answer:
9/4 or 2 1/4
Step-by-step explanation:
2 7 /8 -5/8 which gives you 9/4
35% of 15 is what number
Answer: 5.25
Step-by-step explanation: .35*15=5.25
Answer:
5.25
Step-by-step explanation:
change the percent to a decimal by moving the dot to the left two places, then multiply it by the number
0.35*15=5.25