Step-by-step explanation:
h(x) = 1/4 x
tha is the answer
Use special right triangle ratios to find the lengths of the other leg and the hypotenuse
Answer:
leg = 18
hypotenuse = 18 sqrt(2)
Step-by-step explanation:
We know that sin theta = opp side / hypotenuse
sin 45 = 18 / hyp
hyp sin 45 = 18
hyp = 18 / sin 45
hyp = 18 sqrt(2)
Since this is an isosceles triangle ( the two angles are the same measure), the two legs have to be the same length
leg = 18
the lengths of the other leg and the hypotenuse
is 18 units and 18[tex]\sqrt{2}[/tex]units respectively.
Answer:
Solution given:
Let <C=<B=45°
AB=18 units
BC=?
AC=?
again
By using
By usingspecial right triangle ratios
sin C=opposite/hypotenuse=AB/AC=18/AC
Sin 45=18/AC
AC=18/sin45
AC=hypotenuse=18[tex]\sqrt{2}[/tex]units
again
Tan A=opposite/adjacent=BC/AB=BC/18
Tan45=BC/18
BC=Tan45*18
BC=length of another leg=18 units.
Use the expression, X^2-7
What is the value of the expression above when n=5
Answer:
18
Step-by-step explanation:
X^2 - 7 =
Since we need to evaluate the expression when X = 5, we replace X with 5.
= 5^2 - 7
Now, according to the correct order of operations, we need to do the exponent first. 5^2 = 5 * 5 = 25
= 25 - 7
Finally, we subtract.
= 18
Answer: 18
ASAP HELP!! PLEASEEEE!!
Answer:
Step-by-step explanation:
5.1, please this is just a guess from using my head to calculate
write 5 lcms of 100 and 120
Answer:
The LCM of 100 and 120 is 600.
The LCM of 5 and 120 is 120.
LCM of 5 and 100 is 100.
Step-by-step explanation:
I think this is the answer . If it is not sorry .
The volumes of two similar solids are 512cm3 and 2197cm3. If the smaller solid has a surface are of 960cm2, find the surface area of the larger solid. Part 1: find the similarity ratio by taking the cube root of each volume. Show your work. Part 2: use your answer from part 1 to find the ratio of the surface areas. Show your work. Part 3: set up a proportion and solve to find the surface area of the larger solid.
Answer:
see below
Step-by-step explanation:
Part 1:
(512) ^ 1/3
-------------------
(2197) ^ 1/3
8
-----
13
The scale factor is 8:13
Part 2
The ratios of the areas is related by scale factor squared
8^2
-----
13^2
64
------
169
Part 3
64 960
------ = ----------------
169 SA larger
Using cross products
64 * SA = 169 * 960
64 SA = 162240
Divide each side by 64
64 SA/ 64 = 162240 / 64
SA = 2535
2535 cm^2
Find the missing segment in the image below
Answer:
8? not sure tho....
Step-by-step explanation:
A wind turbine has blades 50m in diameter and an overall height (to the highest point) of 125m. If it has four blades instead of three, create four equations modelling the height of a point on the tip for each of the four blades.
Answer:
Blade A : H(θ) = 75 + 50 sin θ
Blade B : H(θ) = 75 + 50 sin(θ + 90° )
Blade C : H(θ) = 75 + 50 sin( θ + 180° )
Blade D : H(θ) = 75 + 50 sin( θ + 270° )
Step-by-step explanation:
Given data :
Diameter of blade = 50 m
overall height = 125 m
The four blades : Blade A , Blade B, Blade C, Blade D all moves in same direction hence they make 90° to each other.
Lets assume The blades are standing at θ with the horizontal
The four equation modelling the heights :
Blade A : H(θ) = 75 + 50 sin θ
Blade B : H(θ) = 75 + 50 sin(θ + 90° )
Blade C : H(θ) = 75 + 50 sin( θ + 180° )
Blade D : H(θ) = 75 + 50 sin( θ + 270° )
HELP ME WITH THIS PLEASE PLEASE SHOW ME THE FORMULA FOR LETTER C
Answer:
Which subject is this . please tell
Answer:
see explanation
Step-by-step explanation:
1
(a)
Calculate slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ = (8, 3) and (x₂, y₂ ) = (10, 7)
m = [tex]\frac{7-3}{10-8}[/tex] = [tex]\frac{4}{2}[/tex] = 2
(b)
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{2}[/tex]
(c)
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - [tex]\frac{1}{2}[/tex] , then
y = - [tex]\frac{1}{2}[/tex] x + c ← is the partial equation
To find c substitute (8, 3) into the partial equation
3 = - 4 + c ⇒ c = 3 + 4 = 7
y = - [tex]\frac{1}{2}[/tex] x + 7 ← equation of perpendicular line
--------------------------------------------------------------------------
2
(a)
with (x₁, y₁ ) = (3, 5) and (x₂, y₂ ) = (4, 4)
m = [tex]\frac{4-5}{4-3}[/tex] = [tex]\frac{-1}{1}[/tex] = - 1
(b)
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{-1}[/tex] = 1
(c)
y = x + c ← is the partial equation
To find c substitute (3, 5) into the partial equation
5 = 3 + c ⇒ c = 5 - 3 = 2
y = x + 2 ← equation of perpendicular line
What is the area of this triangle
Answer:
14
Step-by-step explanation:
7*4*1/2=14
Select the true statement about triangle ABC.
A. cos A = cos C
B. cos A = sin C
C. cos A = sin B
D. cos A = tan C
Answer:
B
Step-by-step explanation:
cosA = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{12}{13}[/tex]
cosC = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{5}{13}[/tex]
sinC = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{12}{13}[/tex]
tanC = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{12}{5}[/tex]
Then
cosA = sinC → B
The width of a rectangle is twice as long as the length. if the length is increased by 50% and the width is decreased by 20%, the perimeter becomes 248. find the width and length of the original rectangle.
Answer:
Step-by-step explanation:
The percents here make this more tricky than it originally seems to be. We'll make a table and see where it takes us:
original new
length
width
And we'll fill it in according to our rules given. Starting with the original, we are told that the width is twice as long as the length. We don't know the length, so we'll call that L, and if the width is twice that, the width is 2L:
original new
length L
width 2L
Now here's the tricky part. What I'm going to do is fill in the "new" column with the expressions and then we'll simplify them in the next step.
The length is increased by 50%. So we have 100% of the original length and we are adding another 50% to that:
original new
length L 100%L + 50%L
width 2L
The width is decreased by 20%, so we have 100% of 2L and we are subtracting 20% of 2L from that:
original new
length L 100%L + 50%L
width 2L 100%(2L) - 20%(2L)
And now we'll simplify that "new" column:
original new
length L 150%L = 1.5L
width 2L 80%(2L) = 160%L = 1.6L
Now we're ready for the perimeter part. The formula for the perimeter of a rectangle is P = 2L + 2w, so filling in from our "new" column, since 248 is the perimeter given for AFTER the rectangle's length and width are manipulated:
248 = 2(1.5L) + 2(1.6L) and
248 = 3L + 3.2L and
248 = 6.2L so
L = 40 and that means that w = 80 (because in the "original" column, the width is twice the length)
What is 1/4 0.75 1/3 0.5 greatest to least
Answer:
1/4 = 1 ÷ 4 = 0.251/3 = 1 ÷ 3 ≈ 0.330.750.50.75 → 0.5 → 1/3(0.33) → 1/4(0.25)
Need help please need it quick
Answer:
Choice A
Step-by-step explanation:
An arithmetic sequence is one which has an incremental change.
for our answer, our change is +5
3. A rectangle has a length of 2x – 9 and a width of x2 + 3x – 4. What is the polynomial that models the area
of the rectangle?
Answer:
(C) 2x^3 - 3x^2 - 35x + 36
Step-by-step explanation:
First multiply 2x by x^2 + 3x - 4:
(2x)(x^2 + 3x - 4)
2x^3 + 6x^2 - 8x
Next multiply -9 by x^2 + 3x - 4:
(-9)(x^2 + 3x - 4)
-9x^2 - 27x +36
Now add the two polynomials by adding like terms:
(2x^3 + 6x^2 - 8x) + (-9x^2 - 27x +36)
2x^3 + 6x^2 - 9x^2 - 8x - 27x + 36
2x^3 - 3x^2 - 35x + 36
Hope this helps (●'◡'●)
Help me to prove it
Answer:
see explanation
Step-by-step explanation:
Using the identities
cotA = [tex]\frac{1}{tanA}[/tex]
cot²A = cosec²A - 1
tan²A = sec²A - 1
Consider the left side
(cotA + tanA)² ← expand using FOIL
= cot²A + 2cotAtanA + tan²A
= cosec²A - 1 + 2 .[tex]\frac{1}{tanA}[/tex] . tanA + sec²A - 1
= cosec²A - 1 + 2 + sec²A - 1
= sec²A + cosec²A - 2 + 2
= sec²A + cosec²A
= right side, thus proven
Options:
Rotation
Reflection
Translation
Answer: Reflection
Step-by-step explanation: Please mark brainliest
if a=(p+q),b=(p-q)and c=qsquare -psquare, show that ab+c=0
Answer:
I think this is the ans
Step-by-step explanation:
ab+c=0
(p+q)(p-q)=0
p Square-q Square =0
0=p Square-q Square
What is the value of k?
k=____
Answer:
2
Step-by-step explanation:
is the value of k
Answer:
2
Step-by-step explanation:
Question 5.
Given that cos(O) = 4/5, find:
a) sin(0)
b) tan (0)
Step-by-step explanation:
here's the answer to your question
Plz help me asap !!!
Answer:
all I know is sin square A +cos square A =1
According to the synthetic division below, which of the following statements are true?
Answer:
Step-by-step explanation:
That 3 sitting outside there in that little "box" thing is a root/solution/zero of the polynomial. The numbers underneath the line are the coefficients of the depressed polynomial, which means that the polynomial is 1 degree lower than the degree with which we started. If we started with an x-squared, this degree is a single x, better known as linear (a line). Anyway, (x - 3) is a zero of the polynomial, which also means that it's a factor. So A applies. x = 3 is a root, so C applies. And F also because the depressed polynomial, the remainder, is 2x + 4.
Which of the following lines is parallel to the line
y = 1/2x -6
Select one:
a) y=-1/2x-6
b) y=2x+1
c) y=-1/2x+5
d) y=1/2x-3
Answer:
y = 1/2x - 3 (option - d)
Step-by-step explanation:
The lines are parallel if they have the same slope/gradient. So by comparing with y = mx + c (where 'm' is the slope and 'c' is the y-intercept).
Line y = 1/2 x - 6 has the slope m = 1/2
and the line in option 'd'
y = 1/2 x -3 has the slope m = 1/2
Slopes are equal and lines are parallel.
Thank-you.
#Muhib
Two boys together have $12. One of them has $10 more than the other. How much money does each of them have
What is the value of the first term in the following arithmetic sequence?
-9, -2, 5, 12, ...
-9
7
9
-7
Answer:
-9
Step-by-step explanation:
-9, -2, 5, 12,.........
The first term is the first number in the sequence
-9
[tex]\sf{ }[/tex]
The first first term in the following arithmetic sequence
-9, -2, 5, 12, .. is -9
The graph f(x) shown below has the same shape as the graph of g(x)=x^2 which of the following is the equation of f(x)
Answer:
Choice D. [tex]F(x)=x^2-4[/tex]
Step-by-step explanation:
Since the graph is translated down 4, it cannot be choice A. or C.Since the graph is concave up, choice B. is ruled out.Leaving choice D. the correct answer.first answer gets marked brainliest!!
QUESTION 2
In A XYZ, X = 18 cm, y = 14 cm, and z= 17 cm.
Determine the measure of Z to the nearest degree.
a. 66°
b. 63°
c. 57°
d. 60°
Answer:
B: 63
Step-by-step explanation:
(3.1 x 10^10) X (4.6 x 10^4) divided by (9.4 x 10^-3)
(This is scientific notation)
Answer:
1.5×10^17
Step-by-step explanation:
it would be better to first multiply the two then divide the answer by 9.4×10^-3
I hope this helps
Find the lateral surface area of this
cylinder. Round to the nearest tenth.
r = 3 cm
3 cm
Answer:
22/7×9×3=22×9×3=594÷7=84.85
Answer:
56.5 For Acellus Users
Step-by-step explanation:
Step 1. 2 x 3.14(pi) x radius(3) x height(3)
Step 2. Once added up should equal 56.5
Remember 2 x 3.14 x 3 x 3 = 56.5
At Fireflies Kids Camp, 4 out of the 10 kids in the yellow cabin are taking swimming lessons. In the blue cabin, 5 out of the 15 kids are taking swimming lessons. Do both cabins have the same ratio of swimmers to total kids?
Answer:
Both cabins do not have the same ratio of swimmers to total kids.
Step-by-step explanation:
The ratio of swimmers to total kids in the yellow cabin is:
4 : 10
The ratio of swimmers to total kids in the blue cabin is:
5 : 15
4 : 10 and 5 : 15 are not equivalent ratios because:
LCM of 10 and 15 is 30
Multiply each term in a ratio by a number so that the second term is 30:
4 x 3 = 12
10 x 3 = 30
4 : 10 = 12 : 30
5 x 2 = 10
15 x 2 = 30
5 : 15 = 10 : 30
12 : 30 and 10 : 30 are NOT the same ratios.
Hope this helps!
