Answer:
x = 8[tex]\sqrt{3}[/tex] , y = 8
Step-by-step explanation:
Using the sine and cosine ratios in the right triangle and the exact values
sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , cos60° = [tex]\frac{1}{2}[/tex]
sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{16}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2x = 16[tex]\sqrt{3}[/tex] ( divide both sides by 2 )
x = 8[tex]\sqrt{3}[/tex]
----------------------------------------------------------
cos60° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{y}{16}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2y = 16 ( divide both sides by 2 )
y = 8
HEY YOU! YES YOU, HOTTIE PLS HELP ME <3
Which of the following statements is true about the rates of change of the functions shown below?
f(x)=4x
g(x)=4^x
A) For every unit x increases, both f(x) and g(x) quadruple in quantity
B)For every unit x increases, both f(x) and g(x) increases by 4 units.
C) For every unit x increases, f(x) quadruples in quantity and g(x) increases by 4 units.
D) For every unit x increases, f(x) increases by 4 units and g(x) quadruples in quantity.
Answer:
None of the above if there is that answer because one is 4 times and the other is 4 to the x power which is exponential
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
lol I'll take the hottie bit XDDDD
Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. Which ordered pair is a viable solution if x represents the number of days that a library book is late and y represents the total fee?
(–3, –0.90)
(–2.5, –0.75)
(4.5, 1.35)
(8, 2.40)
Answer:
The last option is correct
what is the solution to the inequality of x+2<5
Answer:
Any number below 3
(2, negative infinity)
Answer:
here's the answer with steps
x + 2 < 5
-2 -2
x < 3
Answer this question
y is less than or equal to three more than the product of x and negative two thirds put it on standard form
HELP HELP PLEASE WRING ANSWERS OR LINKS WILL BE REPORTED
Answer:
$0.24 per orange
Step-by-step explanation:
$3.84 / 16 = 0.24
If ab=8 and a^2+b^2=16 then what is the valué of (a+b)^2 PLSS HELP NOW
I think that i got it but at the same time not sure but the value of a+b should be 14+20
Cierra is buying juice. She needs 5 liters. A half liter juice cost $2.86. A 250-milliliter container of juice costs $1.05. What should Cierra buy so she gets 5 liters at the lowest price?
Answer: 250 mL Juice container
Step-by-step explanation:
Given
Half liter juice costs $2.86 i.e.
[tex]\dfrac{1}{2}\ L\rightarrow\$2.86\\\\1\ L\rightarrow\dfrac{2.86}{\frac{1}{2}}=\$5.72\\\\5\ L\rightarrow\$28.6[/tex]
A 250 mL juice costs $1.05 i.e.
[tex]250\ mL=0.25\ L\rightarrow \$1.05\\\\1\ L\rightarrow \dfrac{1.05}{0.25}=\$4.2\\\\\Rightarrow 5\ L\rightarrow \$21[/tex]
The cost of 250 mL Juice packet is low for 5 L quantity, therefore, Cierra must buy 250 mL Juice container
PLS HELP! I'M SO STUCK!!
Answer:
E
Step-by-step explanation:
i just kinda figured it out
Someone help what would my average be if I got 100% on my both of my tests? I just wanna know
Answer:
To figure out your average, you add them together then divide by2
Step-by-step explanation:
A window is designed as shown below. Find the value of x
Answer:
x=20
Step-by-step explanation:
We know that a line is 180 degrees, and the base of the cemi-circle is a line. So, we would have:
x+7x+x=180
9x=180
x=20
Hope this helps!!
Answer:
x = 20
Step-by-step explanation:
x + 7x + x = 180
9x = 180
x = 20
if x=10, write an expression in terms of x for the number 5,364
Answer:
(5,354 + x)
or
536.4*x
Step-by-step explanation:
We know that x = 10.
Now we want to write an expression (in terms of x) for the number 5,364.
This could be really trivial, remember that x = 10.
Then: (x - 10) = 0
And if we add zero to a number, the result is the same number, then if we add this to 5,364 the number does not change.
5,364 = 5,364 + (x - 10) = 5,364 + x - 10
5,364 = 5,354 + x
So (5,354 + x) is a expression for the number 5,364 in terms of x.
Of course, this is a really simple example, we could do a more complex case if we know that:
x/10 = 1
And the product between any real number and 1 is the same number.
Then:
(5,364)*(x/10) = 5,364
(5,364/10)*x = 5,364
536.4*x = 5,364
So we just found another expression for the number 5,364 in terms of x.
Does anyone know about this question I give brainless If you answer this correctly
Answer:
Side x = 2.12132 = 3√2/2
Step-by-step explanation:
I used a triangle calculator to find side x
8c + c=
I will give brainliest if correct
Thank you
Answer:
=9c
Step-by-step explanation:
8c+c=9c
hope this is useful
Can someone help me with this. Will Mark brainliest. Need answer and explanation/work. Thank you.
Answer:
tangent x = 12/9
Step-by-step explanation:
Hello There!
Once again these are the Trigonometric Ratios
SOH CAH TOA
Sine = Opposite over Hypotenuse (SOH)
Cosine = Adjacent over Hypotenuse (CAH)
Tan = Opposite over Adjacent (TOA)
And for this one we are asked to find the tangent of angle x
Remember tangent = opposite over adjacent
opposite - the side length that is opposite of the angle (so the angle will be facing that side length)
adjacent - the side length that is not the opposite nor the hypotenuse
The opposite of angle x is 12 and the adjacent of angle x is 9
so tangent x = 12/9
1 - Which expression is equivalent -2(x + 4) - (3x + 8)?
(50 Points)
5x + 16
5x - 16
-5x + 16
-5x - 16
Answer:
-5x-16
Step-by-step explanation:
Combine like terms
Step-by-step explanation:
If you want to multiply a parenthesis by a number, you simply distribute the number to all the terms in the parenthesis.
So, if you want to multiply the parenthesis
(3x−7) by 5, you need to multiply by 5
both 3x and −7.
We have that 5⋅(3x)=5⋅(3⋅x)=(5⋅3)⋅x=15x and −7⋅5=−35
So, 5(3x−7)=15x−35
what is (−4)⋅(−4)⋅(−4)⋅y⋅y
Answer:
64y^2
Step-by-step explanation:
to know if two figures are _______ you have to analyze they have to have the same shape but not the same size
Answer:
Similar!
Step-by-step explanation:
Hope this helps!
What are the values of x that would make the line j parallel to line k? Help me please!
Answer:
For line j to be parallel to line k, then x has to be equal to 0
Step-by-step explanation:
if line j is parallel to line k, then the two angles are equal.
They are equal because they would be alternate angles and alternate angles are equal in value
Thus,
3x + 10 = 5x + 10
5x-3x = 10-10
2x = 0
x = 0
5. How far can you get away from your little brother with a squirt gun filled point
with paint if you can travel at 3 m/s and you have 15 s before he sees you?"
45 m
5 m
2 m
20 m
Answer:
45 meters
Step-by-step explanation:
I hope this helps.
Solve using elimination. 9x − 9y = –18 10x − 9y = –13
Answer:
y = 5, y = 7
Step-by-step explanation:
help pls and thank uu:)
Answer and Step-by-step explanation:
The answer is 1.
When g(x) is 0, we need to add 4 to both sides, then divide each side by 4 to get the x by itself. We see that x is equal to 1.
0 = 4x - 4
4 = 4x
x = 1
#teamtrees #PAW (Plant And Water)
Part A is already answered
Part B asks: What is the length of the hypotenuse?
Answer:
52
Step-by-step explanation:
Using the Pythagorean theorem
a^2+b^2 = c^2
20^2 + 48^2 = c^2
400 +2304=c^2
2704=c^2
Taking the square root of each side
sqrt(2704) = sqrt(c^2)
52 = c
Answer:
[tex]hypotenuse^{2}[/tex] = [tex]altitude^{2}[/tex] + [tex]base^{2}[/tex]
[tex]hyp^{2}[/tex] = [tex]48^{2}[/tex] + [tex]20^{2}[/tex]
= 2304 + 400
= 2704
∴[tex]hyp[/tex] = [tex]\sqrt{2704}[/tex]
= 52
hope this answer helps you....
PLS HELP ME PLS ACTUALLY PUT AN ANSWER
Answer:
Hi
Step-by-step explanation:
The answer is B and D.
Hope it's correct.
Find the area of the figure.
Step-by-step explanation:
Area of Rectangle at the top =
Length x Width
[tex] = 3.5 \times 3 \\ = 10.5 {mm}^{2} [/tex]
Area of Quarter- Circle = 1/4 x Area of Circle
[tex] = \frac{1}{4} \pi {r}^{2} \\ = \frac{1}{4} \pi( {3.5}^{2} ) \\ = 3 \frac{1}{16} \pi {mm}^{2} [/tex]
Area of Rectangle at the right = Length x Width
[tex] = 5.5 \times 3.5 \\ = 19.25 {mm}^{2} [/tex]
Total Area = Area of 2 Rectangles + Area of Quarter Circle
[tex] = 10.5 + 3 \frac{1}{16} \pi + 19.25 \\ = 29.75 + 3 \frac{1}{16}\pi \\ = 32 \frac{13}{16}\pi {mm}^{2} [/tex]
I will leave the answer in terms of pi as I'm not sure if you need to round off your answer.
In ΔQRS, the measure of ∠S=90°, the measure of ∠Q=29°, and SQ = 5 feet. Find the length of QR to the nearest tenth of a foot.
Answer:
2.8 feet
Step-by-step explanation:
tan(29)=x/5
5tan(29)=x
2.8=x
Answer:
5.7
Step-by-step explanation:
write the answer in the simplest radical form
[tex] \sqrt{56} [/tex]
Each glass vase at a Mother’s Day brunch has 8 stems, of which 37.5% are stems of greenery. How many stems of greenery are in each vase?
Which expression is equivalent to 2x + 2
A (2 + x) + 2
B 2(x + 2)
C 2(x + 1)
D 4x
Who is taller: Randall who stands 68 inches tall or Javier who stands 6 feet tall?
Explain your reasoning. Use the sentence frames below to help you.
Note: 1 foot is equal to 12 inches.
Answer: javier is taller
Step-by-step explanation:
68inches=5' 8"
Answer quickly pllllllllllsssssss