Answer:
Step-by-step explanation:
Just plug in 6 as x.
[tex]f(6)=2(6)^2+\sqrt{5} *(6-2) \\or\\f(6)=2(6)^2+\sqrt{5(6-2)}[/tex]
Depending on how the equation is written (I got confused so I gave both answers of what I thought both versions were) this is the answer.
[tex]72+4\sqrt{5} =2(6)^2+\sqrt{5} *(6-2) \\or\\72+2\sqrt{5} =2(6)^2+\sqrt{5(6-2)}[/tex]
A man 2 m high observes the angle of elevation to the top of a building to be 71° and the angle of depression to the bottom of the building to be 26°. How tall is the building?
Answer:
The building is 13.91 m tall
Step-by-step explanation:
The parameters given are;
Angle of elevation to the top of the building = 71°
Angle of depression to the bottom of the building = 26°
Height of the man = 2 m
Therefore, the sight of the man, the man's height, and the distance of the man from the building forms a triangle where:
The hypotenuse side = The sight of the man to the bottom of the building
Hence;
In ΔABC, A being at the eye level or head level of the man, B at the foot and C at the bottom of the building
∴ ∠A + Angle of depression to the bottom of the building = 90°
∠A = 90° - 26° = 64°
∠B = 90° and ∠C = 26° (Sum of angles in a triangle)
[tex]Tan(C) = \frac{AB}{BC}[/tex]
Distance of the man from the building = BC
[tex]Tan(26) = \frac{2}{BC}[/tex]
[tex]BC= \frac{2}{ Tan(26) } = 4.1 \, m[/tex]
Given that the angle of elevation to the top of the building = 71°, we have;
ΔAET
Where:
A is at the head level of the man,
E is the point on the building directing facing the man and
T is the top of the building
Hence AE = BC and ∡TAE = 71°
TE + AB= The height of the building
[tex]Tan(TAE) = \dfrac{TE}{AE}\\\\Tan(71) = \dfrac{TE}{4.1}[/tex]
∴ TE = tan(71°) × 4.1 = 11.91 m
Hence the height of the building = 11.91 + 2 = 13.91 m.
Evaluate (2x + 4) – (3x + 6) when x = 4.
Answer:
-6
Step-by-step explanation:
(2x + 4) – (3x + 6)
Distribute the minus sign
2x +4 -3x -6
-x -2
Let x = 4
-4-2
-6
Answer:
-6
Step-by-step explanation:
(2x + 4) – (3x + 6) =
= 2x + 4 - 3x - 6
= -x - 2
= -(4) 2
= -6
Find the measure of angle DEH:
E
D
ti
+
F
56°
다.
G
Value: 10
The measure of angle DEH is ___ degrees.
Answer:
62
Step-by-step explanation:
I did 180-56=124
124/2 which was 62
Carlton and Will went fishing together. Carlton caught 21 bass and 7 walleye. Will caught 13 bass and 8 walleye. How many more fish did Carlton catch than Will?
Answer:
7
Step-by-step explanation:
Fish caught by Carlton= 21+7=28
Fish caught by Will= 13+8=21
Therefore, Carlton caught more fish
By how much=28-21=7
Four circles or diameter d cm are arranged in such a way that they touch each other (as shown below). A square is formed by joining the centres of the four circles.
What is the area of the shaded part?
A) d2(1-π)
B) d2(4-π)
C) d2/4-πd2/4
D) d2-πd2/4
Answer:
D. d^2 - πd^2/4.
Step-by-step explanation:
The sides of the square are equal to the diameter of the circles so the area of the square = d^2.
The shaded area = area of the square - 4 * the area of a quarter circle
= area of the square - area of 1 circle
= d^2 - π r^2
r = d/2 so
Area of the shaded part = d^2 - π (d/2)^2
= d^2 - π (d^2/4)
A mechanic cuts 14 pieces of copper
tubing from a coil. Each piece is 3 1/2
inches long. What is the total length
used?
Answer:
49
Step-by-step explanation:
14*3.5
Because 49/3.5 = 49
Thats how I got it
Hope it helps
Please give an accurate answer and show work.
Answer:
3.06
Step-by-step explanation:
[tex]\log_{5}(\dfrac{2}{3}x-2)+2=0\\\\\log_{5}(\dfrac{2}{3}x-2)=-2\\\\[/tex]
This means that 5 to the power of -2 is [tex](\dfrac{2}{3}x-2)[/tex], meaning that:
[tex]\dfrac{2}{3}x-2=5^{-2}=\dfrac{1}{25} \\\\\dfrac{2}{3}x=\dfrac{51}{25} \\\\2x=\dfrac{153}{25} \\\\x=\dfrac{153}{50}=3.06[/tex]
Hope this helps!
Given ΔADC and ΔAEB, What is AE?
Answer:
AE = 43.2 units
Step-by-step explanation:
As per the given question image, it can be seen that in the [tex]\triangle ADC \text { and }\triangle AEB :[/tex]
1. [tex]\angle B = \angle C = 90^\circ[/tex]
2. [tex]\angle A[/tex] is common to both the triangles.
3. Two angles are common, so the third angle [tex]\angle E[/tex] is also equal to [tex]\angle D[/tex].
All the three angles in the [tex]\triangle ADC \text { and }\triangle AEB[/tex] are equal to each other, hence the triangles are similar.
As per the property of similar triangles, the ratio of their sides will be equal.
AB : AC = AE : AD
AC = 88 units
BC = 55 units
AB = AC - AB = 33 units
Let side AE = [tex]x[/tex] units
Side AD = AE + ED
So, AD = [tex]x + 72[/tex]
Using the ratio:
[tex]\dfrac{AB}{AC} = \dfrac{AE}{AD}\\\Rightarrow \dfrac{33}{55} = \dfrac{x}{x+72}\\\Rightarrow 55x = 33 \times 72\\\Rightarrow x = \dfrac{3\times 72}{5}\\\Rightarrow x = 43.2\ units[/tex]
So, AE = 43.2 units
Another candle has a volume of 75 cubic inches and a height of 6 inches. What is the radius, in inches, of this candle. Round your answer to the nearest inch
Given Information:
Volume of candle = V = 75 in³
Height of candle = h = 6 in
Required Information:
Radius of candle = r = ?
Answer:
Radius of candle = r = 2 in
Step-by-step explanation:
Recall that the volume of a cylindrical shape is given by
[tex]V = \pi \times r^{2} \times h[/tex]
Where V is the volume, r is the radius and h is the height
Re-arrange the above equation for radius
[tex]r^{2} = \frac{V}{\pi \times h} \\\\r = \sqrt{\frac{V}{\pi \times h}}[/tex]
Now substitute the given values into the above equation
[tex]r = \sqrt{\frac{75}{\pi \times 6}}\\\\r = 1.99 \: in[/tex]
Rounding to the nearest inch
[tex]r = 2 \: in[/tex]
Therefore, the radius of this candle is 2 inches.
Solve for a side in a right triangle
Answer:
1.88 = ?
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adjacent / hypotenuse
cos 20 = ?/ 2
Multiply each side by 2
2 cos 20 = ?
1.879385242 = ?
To the nearest hundredth
1.88 = ?
Three less than twice a number is seventeen. What is the number?
You can compute the slope of a line by using the slope ___
You can compute the slope of a line by using the slope formula. This is given by:
slope,m=(change in y-axis)/(change in x-axis)
=(Δ y-axis)/(Δ x-axis)
Given the points (x1,y1) and (x,y) from a linear graph, then:
slope m will be:
m=(y-y1)/(x-x1)
You can compute the slope of a line by using the slope formula.
plslslslsl help ASAPPPP 10 points and you win brainlist
Answer:
71
Step-by-step explanation:
Take the cost of the item and multiply by the commission percent
800 * 8.875%
Change to decimal form
800*.08875
71
Answer:
71
Step-by-step explanation:
Simon earns 8.875 for a commission. yet for him to sold a rowboat that cost $800.
800*8.875
=$71
a : 27=6:18, find a
Answer: 9
Step-by-step explanation:
The reason for this answer, is because when you decide 18 by 6 it gives you 3. Which means that when you devide 27 by 3 it will give you your answer. 9. You can make sure it’s correct when you do the math. 27/9=3. 18/6=3.
This way, your answers are equivalent to each other.
If you found this answer helpful, give it a five-star rating and a thanks! It would really mean a lot!
(Even a brainliest if you want ;D)
Answer:
a=9
Step-by-step explanation:cross multiply
PLEASE HELPPPPPPPPP
MARKING BRANLIEST
Answer:
A
A
5
Step-by-step explanation:
Rectangular Prism A
volume = length * width * height = 7 cm * 7 cm * 5 cm = 245 cm^3
Rectangular Prism B
volume = length * width * height = 8 cm * 6 cm * 5 cm = 240 cm^3
Answers:
A
A
5
write the following using algebraic notation, using the letter x for any unknown numbers: I think of a number, subtract five, then double the result
Answer:
Step-by-step explanation:
Let the number be x
Therefore the expression is 2(x-5)
Hope this helps
Plz mark it as brainliest!!!!
Answer:
2(x-5)
Step-by-step explanation:
x = number
then you subtract 5 from that number so that would look like
x-5
Then you double the result so then it would end up being:
2(x-5)
Please mark me brainliest :)
Find the remainder when p(x)= x^5 + x^4 + x^3 + x^2 + 2x + 2 is divided by q(x) = x + 1
Answer:
0
Step-by-step explanation:
Given a polynomial p(x) divided by (x + h), then the remainder is
p(- h)
Here divisor is (x + 1), so evaluate p(- 1) for remainder
p(- 1) = [tex](-1)^{5}[/tex] + [tex](-1)^{4}[/tex] + (- 1)³ + (- 1)² + 2(- 1) + 2
= - 1 + 1 - 1 + 1 - 2 + 2
= 0
This means that (x + 1) is a factor of p(x)
WIll MARK BRAINLIEST IF ANSWER IN 2 MINUTES!!!! Which represents the equation 6 x + 3 y = 12 when solved for y? y = negative 2 x + 4 y = 2 x + 4 y = negative 2 x minus 4 y = 2 x minus 4
Answer:
y=-2x+4
Step-by-step explanation:
6x+3y=12
3y=-6x+12
y=-2x+4
Answer:
The correct answer is y A.) = -2x + 4
Step-by-step explanation:
i just did the test on edge 2020 and got it right
The value of k, for which the system of equations x-3y+6=0, 4x-6y+.15=0 represent parallel lines, is:
A)1
B)2
C)3
D)4
Please answer correctly !!!!!!!!!!!!! Will make brainliest answer !!!!!!!!!!!
Answer:
down by 1 units
right/left by 4 units
Answer:
down by 1 units
right/left by 4 units
Step-by-step explanation:
Given circle B, what is its diameter if its area is 56 square units?
Answer:
Diameter of the circle is 8.4 units
Step-by-step explanation:
To find the diameter of a circle with area of 56 square units, we will follow the steps below:
write the formula for calculating the area of a circle
area of a circle = πr²
from the question area= 56 units .
π is a constant which is ≈ 3.14
we can now proceed to substitute the values into the formula and solve for r
area of a circle = πr²
56 = 3.14×r²
divide both-side of the equation by 3.14
17.83 = r²
take the square root of both-side
√17.83 = √r²
4.2 =r
r= 4.2 units
but diameter = 2 r
diameter = 2×4.2
diameter = 8.4 units
Diameter of the circle is 8.4 units
Jordan is putting a fence around a garden that is shaped like a half circle and rectangle
Answer:
92 ft
Step-by-step explanation:
Assume the garden has the shape shown below.
The length of fencing equals the distance around three sides of the rectangle plus that around the semicircle.
1. Around the rectangle
Distance = 28 ft + 14 ft + 28 ft = 70 ft
2. Around the semicircle
For a circle.
C = 2πr
For the semicircle,
½C =½(2πr) = πr
D = 14 ft, so
r = 7 ft
[tex]\text{Distance} = \dfrac{22}{7} \times \text{7 ft} = \text{22 ft}[/tex]
3. Total distance
Distance = 70 ft + 22 ft = 92 ft
Jordan will need 92 ft of fencing.
How many gallons of paint will you need to paint a bedroom that is 10 ft by 14 ft with walls that are 7 1/2 ft high? The walls will need two coats to cover the old paint.
How many gallons of paint are needed to paint the ceiling of the same room in the last question, one coat of paint will suffice.
you have two walls that are 10 by 7.5 so 75 feet ^2 in area each
you have another two walls that are 14 by 7.5 so 105 feet^ 2 each
so all of that together is 360 feet^2 to cover for one coating, so you have 720 feet^2 to cover for 2 coats on the walls. so take that and divide it by the area that one gallon would cover, then round up giving you how many gallons you would have to buy
for the ceiling you do the same, the area is 140 and you only need one coat
Help please! What are the first 4 terms of the arithmetic sequence in the graph?
Answer:
2, -2, -6, -10
Step-by-step explanation:
In this graph, the x value represents the count of the terms, while the y represents the value of each term. This means that the value of the first one is 2, the value of the second one is -2, the third one -6, and the fourth one -10. Hope this helps!
what is to be added to -1 to get the number 7 by 5
Answer:
Step-by-step explanation:
let the number be x
-1 + x = 7/5
x = 7/5 +1
x = 12 /5
please mark me as the brainliest
Answer:
x=12/5
Step-by-step explanation:
distance between the point (-2, 4) and (10, -1)?
Answer:
13
Step-by-step explanation:
Use the distance formula to determine the distance between two points.
d=√((x_2-x_1)²+(y_2-y_1)²)
√((10)-(-2))^2+(-1)-(4)^2)
√(144+25)
√(169)
13
Answer:
13
Step-by-step explanation:
I need help with this problem
If (x+yo)+6i=2,what is x+yi?
Answer:
A
Step-by-step explanation:
Given
x + yi + 6i = 2 ( subtract 6i from both sides )
x + yi = 2 - 6i → A
Which expression is equivalent to the expression 5b+16?
36-6+2b+ 22
50-6+b+22
26+4+2+12
75+ 3-2b+9
Answer:
None are equivalent
Step-by-step explanation:
without actually calculating the cubes, find the value of (16)^3+(-7)^3+(-9)^3
Answer:
(16)^3 = (7 + 9)^3 = 7^3 + 9^3 + 3 x 7^2 x 9 + 3 x 9^2 x 7
=>(16)^3 + (-7)^3 + (-9)^3 = (-7)^3 + (-9)^3 + 7^3 + 9^3 + 3 x 7^2 x 9 + 3 x 9^2 x 7
= [(-7)^3 + 7^3] + [9^3 + (-9)^3] + 3 x 7^2 x 9 + 3x9^2x7
= 0 + 0 + 3 x 7^2 x 9 + 3 x 9^2 x 7
= 3 x 7^2 x 9 + 3 x 9^2 x 7
= 3 x 9 x 7 x (7 + 9)
= 3 x 7 x 9 x 16
= 3 x 7 x 9 x 8 x 2
= 6 x 7 x 8 x 9
= 3024
Hope this helps!
:)
pls help me any bit can help need it asap though. only need part lll the words cutt of are show work
Answer:
y = 4/3 x - 3.
Step-by-step explanation:
III
y - 5 = 4/3(x - 6)
y = 4/3(x - 6) + 5
y = 4/3 x - 8 + 5
y = 4/3 x - 3.