Answer:
-2-√3
Step-by-step explanation:
The sum of angles formula for tangent is ...
tan(A+B) = (tan(A) +tan(B))/(1 -tan(A)tan(B))
For the desired angle, we can use A=45°, B=60°. Then we have ...
tan(105°) = (tan(45°) +tan(60°))/(1 -tan(45°)tan(60°))
The tangent values we need are ...
tan(45°) = 1
tan(60°) = √3
Then our tangent is ...
tan(105°) = (1 +√3)/(1 -1·√3) = (1 +√3)²/((1 -√3)(1 +√3)) = (4+2√3)/(-2)
tan(105°) = -(2+√3)
A tree grows 20 percent taller every year after it is planted. The tree was 12 feet tall when planted. How tall will it be after 10 years?
a.) 74.3 feet
b.) 120 feet
c.) 144 feet
d.) 146.3 feet
Answer:
Option A; 74.3 feet
Step-by-step explanation:
~ Here we can see that this problem is set to be so that compound interest is applied ~
1. If compound interest is to be applied, it would be that the "20 percent" is the interest, the principle number ( start value ) ⇒ 12 feet in height, and the time is 10 years.
2. Let us approach this problem step by step. Instead of substiting values into a compound interest formula, let us simply attempt a variation of that process...
3. 20 percent is, in a decimal form, ⇒ 0.2
4. Now add 1 to this value 0.2, to get ⇒ 1.2
5. If we were to consider the formula, 1.2 would first be exponentially multiplied by itself 10 time, considering that it is to the power of 10 years. In other words ⇒ 1.2^10 = 6.191736422..........
6. Now let us multiply this infinite value 6.19...... by the principle quantity 12 feet ⇒ 6.191736422.......... * 12 = (About) 74.30083707.......
7. If we were to round this value, it would be to ⇒ 74.3 feet, or in other words the first option; Option A
Find AB
Round to the nearest tenth.
Answer:4.1
Step-by-step explanation:
c=AB
C=26°
B=122°
b=8
Using sine rule
c/sinC = b/sinB
c/sin26=8/sin122
Sin26=0.4384
Sin122=0.8480
c/0.4384=8/0.8480
Cross multiply
c x 0.8480=8 x 0.4384
c x 0.8480=3.5072
Divide both sides by 0.8480
(c x 0.8480)/0.8480=3.5072/0.8480
c=4.1
2. Patricia, Luca and Dauda shared an amount of money such that, Patricia had twice as much
as Dauda and Luca had GH¢600.00 more than Dauda. If Patricia had GH¢2,000.00, what
was the average share, to the nearest GH¢?
Answer:
GH¢1533
Step-by-step explanation:
Let d represent the amount of Dauda's share in GH¢. Then the problem statement tells us ...
Patricia's share is 2d = 2000
Luca's share is d+600
From Patricia's share, we know Dauda's share is ...
d = 2000/2 = 1000
and Luca's share is ...
1000 +600 = 1600
__
The average share is the sum of these, divided by three:
(2000 +1000 +1600)/3 = 4600/3 = 1533.33
To the nearest GH¢, the average share is GH¢1533.
According to the Rational Root Theorem, Negative seven-eighths is a potential rational root of which function?
Answer:
f(x)=24x^7+3x^6+4x^3-x-28
Step-by-step explanation:
expand and simplify (2x-1)(x-3)
Answer:
Expand the polynomial using the FOIL method.
2 x 2 − 7 x + 3
Step-by-step explanation:
A technique for distributing two binomials. The letters FOIL stand for First, Outer, Inner, Last. First means multiply the terms which occur first in each binomial, Outer means multiply the outermost terms in the product, Inner means multiply the innermost terms, and Last means multiply the terms which occur last in each binomial.
An algebraic expression consisting of one or more summed terms, each term consisting of a constant multiplier and one or more variables raised to integral powers.
ABC is a right-angled triangle. Calculate the length of AB. Give your answer correct to 2 decimal places.
Diagram is there too as I couldn't fit the question in.
Answer:
10.83
Step-by-step explanation:
The length of AB to 3 decimal places is 10.83 cm
The given figure is a right triangle
From the triangle, we are given the following parameters
AC = 18cm
m<C = 38 degrees
we need to get the length of AB
Using the SOH CAH TOA identity
[tex]sin \theta = \frac{opposite}{hypotenuse} \\sin 37 = \frac{AB}{18}\\AB = 18 sin37\\AB =18(0.6018)\\AB =10.832cm[/tex]
Hence the length of AB to 3 decimal places is 10.83 cm
Learn more here: https://brainly.com/question/19286106
After a special medicine is introduced into a petri dish full of bacteria, the number of bacteria remaining in the dish decreases rapidly. The relationship between the elapsed time,t, in seconds, and the number of bacteria, B(t), in the petri dish is modeled by the following function:
B(t)=9,300•(1/64)^t
Complete the following about the rate of change of the bacterial culture. Round your answer to two decimal places.
The bacterial culture loses 1/2 of its size every _________ seconds.
Answer:
0.17
Step-by-step explanation:
The function can be rewritten as ...
B(t) = 9300·((1/2)^6)^t = 9300·(1/2)^(6t)
In order to multiply the number of bacteria by 1/2, the value of the exponent 6t must be equal to 1:
6t = 1
t = 1/6 ≈ 0.166667 ≈ 0.17
The culture loses half its size every 0.17 seconds.
.17
Step-by-step explanation:
What error did Mr. Sanders likely make, and what is the actual fraction of students who have
completed 12 or more paintings? Use the drop-down menus to explain his reasoning and correct
his mistake.
Mr. Sanders likely found that of the students have completed 12 or more paintings because
there are Choose... bars on the histogram, and Choose... of the bars represent
students with 12 or more completed paintings. The actual fraction of the students who have
completed 12 or more paintings is Choose...
Answer: (1st box) = 6 (2nd box) = 2 (3rd box) = 2/3
Step-by-step explanation:
Answer:
(1st box) = 6
(2nd box) = 2
(3rd box) = 2/3
Step-by-step explanation:
I got a big brain
if a sample of 57 swimmers is taken from a population of 135 swimmers, the population mean is the mean of how many swimmers' times?
Answer:
135
Step-by-step explanation:
A P E X
A car travel 65kms from A to B in 70 minutes and 80 km from B to C in 75 minutes.
Find the average speed in km/h of the car for the whole journey?
Answer:
60 km/h
Step-by-step explanation:
The car has traveled a total distance of 65+80 = 145 km in 70+75 = 145 minutes. Then the average speed is ...
speed = distance/time = (145 km)/(145 min)·(60 min/h) = 60 km/h
The average speed for the journey is 60 km/h.
heeeeeeeeeeeeeeellllllllllllllllllllpppppppppp
Answer:
Keep the circle closed like it is and draw an incresing line (towards the positive numbers)(basically towards the right) with the arrow at the end of it
Step-by-step explanation:
Sandy does babysitting in her spare time. She gets $100 advance pay and $10 per hour for babysitting. She wants to earn enough to buy a new Iphone for $450. How many hours she needs to babysit to earn enough money to buy the Iphone?
Answer: 35 hours
Step-by-step explanation: 450-100 because of the advanced pay, then you dived 350 by ten so you get 35 hours
Answer:
Sandy needs to babysit for 35 hours to earn enough money to buy an Iphone.
Explanation:
Sandy gets $100 advance pay and $10 per hour for babysitting.
Let x denotes the number of hours then
10x + 100
Sandy wants to buy an Iphone for $450
10x + 100 = 450
Solving the above equation
10x = 450 - 100
10x = 350
x = 350/10
x = 35 hours
Therefore, Sandy needs to babysit for 35 hours to earn enough money to buy an Iphone.
simplify using order of operations
17-5⋅(3-4)+(-8)⋅(-3)
Answer:
46
Step-by-step explanation:
17−5(3−4)+(−8)(−3)
=17−(5)(−1)+(−8)(−3)
=17−(−5)+(−8)(−3)
=22+(−8)(−3)
=22+24
=46
3) Write an equation of a circle satisfying the following conditions:
Center: (-2,5)
Radius: 23
a) (x - 2)2 + (v + 5)= 12
b) (x + 2)2 + (y – 5)2 = 12
c) (x - 2)2 + (y + 5)= 144
d) (x + 2)2 + (-5) = 154
Answer:
Ok :] ummmm report me i'm no help.
Step-by-step explanation:
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A bedroom wall is to be painted around a window as shown below.
A rectangle with length 11 feet and width 10 feet. A smaller rectangle with length 3 feet and width 2 feet is cut out of the larger rectangle.
What is the area of the wall that will be painted?
A.6 feet squared
B.104 feet squared
C.110 feet squared
D.116 feet squared
Answer:B.104 feet squared
Step-by-step explanation:
First find the area of the rectangle 11×10=110 then find the area of the window 3×2=6 then subtract 110-6=104
Answer:
B
Step-by-step explanation:
write it as a product: -[tex]ax^{6}[/tex]+[tex]\frac{1}{8}[/tex]
Answer:
[tex]\frac{-abx^{6}+1 }{b}[/tex]
Step-by-step explanation:
The GCF of 18 and 30 is
Answer: 6
Step-by-step explanation:
Answer:
The answer is 6, 6 is the GCF
Step-by-step explanation:
6 is the the Greatest Common Factor (GCF) because 6 can go into both numbers 18 and 30 evenly, 6 can multiply with 3 for the product to be 18 and 6 can multiply with 6 for the product to be 30. I hope this help. : )
find the area of the attached image below. PLEASE HELP ASAP!
Answer:I think 15
Step-by-step explanation:
find the value of x. Round the length to the nearest meter
Answer:
we need a picture to help
Please help asap! Will give brainliest! Please read the question then answer correctly! No guessing.
Answer: A. (0,a)
[tex]f(x) = a \cdot b^x[/tex]
[tex]f(0) = a \cdot b^0 = a \cdot 1 = a[/tex]
Answer:
I think it's B, but I don't really know how to explain it. Please rate this answer 5 stars if it is correct.
Step-by-step explanation:
What’s the correct answer for this?
Answer:
i think it's B
Step-by-step explanation:
hope this helps
Answer:
B
Step-by-step explanation:
A median cuts a triangle into half (2:1) so the triangle is divided into two equal parts.
Three cube-shaped boxes are stacked one above the other. The volumes of two of the boxes are 1,331 cubic meters each, and the volume of the third box is 729 cubic meters. What is the height of the stacked boxes in meters?
A.
19
B.
29
C.
30
D.
31
Answer:
D. 31
Step-by-step explanation:
The edge dimension of a cube is the cube root of the volume. For the two boxes that are 1331 m³, the height is ...
∛(1331 m³) = 11 m
For the box that is 729 m³, the height is ...
∛(729 m³) = 9 m
Then the total height of the stack of boxes is ...
11 m + 11 m + 9 m = 31 m
Answer:
31
Step-by-step explanation:
I took the test on Edmentum, have a good day hope it helps :)
12. Karen needs to spend at least $100 at a clothing store in order to receive 20% off her total purchase. So far she has spent $78 and she wants to spend the rest on new pairs of socks that cost $5.50 each. Write and solve an inequality to determine n, the number of socks Karen needs to buy in order to receive 20% off her total purchase.
Pick the Answer In the picture
Answer:
The answer would be the first one.
Step-by-step explanation:
5.50 x n which n=4 so its actually 5.50 x 4 which equals 22 then you add the 22 to the 78 to get the result of exactly 100 dollars.
a roll of dimes is 5. if the diameter of a dime is 18 millimeters and the height of each dime is 1.4 millimeters, what is the approximate volume of the roll of dimes?
Answer:
17.8 cm³
Step-by-step explanation:
The radius of the roll is half the diameter, so is 9 mm. The length of the roll of 50 dimes is 1.4·50 mm = 70 mm. With these dimensions, we can use the formula for the volume of a cylinder:
V = πr²h = π(9 mm)²(70 mm) = 5670π mm³ ≈ 17,812.8 mm³
Perhaps a more convenient unit of measure is cm³. Each cm³ is 1000 mm³, so the volume of a roll of dimes is approximately ...
V ≈ 17.8 cm³
Each parking spot is 8 feet wide. A parking lot has 24 parking spots side by side. What is the width (measured in yards) of the parking lot?
Answer: 64 yards I think
Step-by-step explanation:
Answer: If it's just 8 feet wide, 64 yards, if 8 and 1/2, 68 yards.
Step-by-step explanation:
What is the height?
4m
3m
2m
find area
Answer:
I think the area is 24
Step-by-step explanation:
Write eight and fifteen hundredths in decimal notation
Answer:
8.15
Step-by-step explanation:
Answer:
0.08, 0.15
Step-by-step explanation:
Identify two Pythagorean triples using the known triple 9, 40 , 41. *
Your answer
Step-by-step explanation:
[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ {9}^{2} + {40}^{2} = {41}^{2} \\ 81 + 1600 = 1681 \\ 1681 = 1681[/tex]
This object is made with five identical cubes. each cube edge if 4 centimeters long, What is the surface area of this object in square centimeters.
Answer:
480 cm ^ 2
Step-by-step explanation:
To calculate the surface area of the figure, we must calculate the surface area of the cube, we know that they are identical, therefore, calculating the area of one is sufficient.
We have that the surface area of a cube is:
A = 6 * a ^ 2
where a is the edge, we know that if it is a cube all its sides are equal, in this case it is 4 centimeters, if we replace we have:
A = 6 * (4 ^ 2)
A = 96
96 square centimeters is the area of a cube, but since the area of the object would be the sum of the area of all the cubes, then:
AT = 96 * 5
AT = 480 cm ^ 2
The surface area of the object formed with the cubes is 480 cm ^ 2
Jacob rolls a number cube numbered 1 to 6. What is the likelihood Jacob rolls a number less than 7?
