Answer: The area of a triangle is the region enclosed between the sides of the triangle. Area of ΔABC = 1/2 × Base × Height
Step-by-step explanation:
Area of ΔABC= 1/2 × Base × Height = 1/2 × h × BC
If ABC is an equilateral triangle, Area of ΔABC = (√3/4)a2 where a is the length of a side of the equilateral triangle.
Thus, we have seen the formula and definition of the area of triangle ABC.
HELP ON 1 & 2 THANK YOU
[1] n = -2
We will convert the words given into a mathematical equation and then solve by isolating the variable. Let n be "a number"
19 decreased by four times a number is 17
19 - four times a number is 17
19 - 4 n is 17
9 - 4n = 17
-
9 - 4n = 17
- 4n = 8
n = -2
[2] x = -1, y = 3, or (-1, 3)
I will plug the first equation into the second from the system of equations given to us because it already has an isolated variable, y.
2y - 2x = 8
2(2x + 5) - 2x = 8
4x + 10 - 2x = 8
2x = -2
x = -1
Now, I will plug this value back into the equation and solve for y.
y = 2x + 5
y = 2(-1) + 5
y = -2 + 5
y = 3
If 2^2^x = 2^3 what is the value of x
Answer:
[tex]\dfrac 32[/tex]
Step-by-step explanation:
[tex]~~~~~~~2^{2x} = 2^3\\\\\implies \ln\left(2^{2x} \right) = \ln (2^3)\\\\\implies 2x \ln(2) = 3 \ln(2) \\\\\implies 2x = 3\\\\\implies x = \dfrac 32[/tex]
Answer:
B
Step-by-step explanation:
(Computer science)
The CPU fan rotation rate (R) was directly proportional to the ambient temperature (T). At a temperature of 25 degrees C, the CPU fan was rotating at 1150rpm. What would the rotation rate be for an ambient temperature of 30 degrees C?
Answer:1380
Step-by-step explanation: proportionality constant equals 1150/25=46. 46x30=1380
Please I need HELP!!!!!!
Answer:
I just need points I don't know your answer
Step-by-step explanation:
A water tank that initially contained 200 gallons of water is leaking water at a constant rate of 4 gallons per minute. For the amount of time the tank has water, which of the following function models gives the number of gallons, G. in the tank t minutes after the leak started?
a. g(t) = 196 - t
b. g(t) = 200 - 4t
c. g(t) = 200t - 4
d. g(t) = 200t - 4r^2
e. g(t) = 200(3/4)^t
Answer:
b. g(t) = 200 - 4t
Step-by-step explanation:
I don't know how to explain this, but here is the answer.
Which of the following situations can be defined using an exponential function?
A The value of the stocks decreased by $100 last year.
B The number of bacteria decreases by 7% each hour.
C The number of bacteria increases by 700 each hours.
D The value of the stocks increases by $10 every year you own them.
The situation which can be defined using an exponential function is "The number of bacteria decreases by 7% each hour".
What is an exponential function?An exponential function is used to represent a situation in which values of an event do not increase at a constant or linear rate.
From the above,
The value of the stocks decreased by $100 last year is a linear function.The number of bacteria increases by 700 each hour is a linear function.The value of the stocks increases by $10 every year you own them is a linear function.Learn more about exponential function:
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Please help me fast and thank you if you do
Answer:
8 > u > 6
Step-by-step explanation:
We have to solve this inequality as 2 separate inequalities.
==============================================================
Inequality 1 :
⇒ 10 > 5u/4
⇒ 5u < 10 × 4
⇒ 5u < 40
⇒ u < 8 [Box 1]
============================================================
Inequality 2 :
⇒ 5u/4 > 15/2
⇒ 5u/2 > 15
⇒ u/2 > 3
⇒ u > 3 × 2
⇒ u > 6 [Box 2]
============================================================
Solution :
⇒ 8 > u > 6
What is the outlier of 35, 39, 35, 34, 38, 39, 38, 33, 88, 33, 35, 38
Answer:
88
Step-by-step explanation:
All of the numbers are in the thirties (30's) except for 88, so that is the outlier
Q5. An earthquake causes a sea wave. This sea wave travels 26 400 m in two minutes. Calculate the speed of the wave. Use the equation Q6. wave speed distance time speed =
Answer:
13.2 Kilometers an Minute, or 220 Kilometers an Hour
Step-by-step explanation:
26,400 divided by 2 = 13.2 (Minutes) Divided by 60 = 220 (Hours).
which method is best for solving the system of equations,
3x+2y=4
-3x+y=2
The method which is best for solving the system of equations when you remove one variable by adding them is B Elimination
To answer the question, we need to know what system of equations are
What are system of equations?System of equations are pairs of equations that contain two unknowns
Ways of solving system of equationsWe have different ways of solving systems of equations which include
Guess and CheckEliminationGraphing and SubstitutionSince we have the system of equations
3x + 2y = 4
-3x + y = 2
The method which we can use to remove one variable by adding them is the elimination method.
Adding them, we have
3x + 2y = 4
+
-3x + y = 2
3y = 6
y = 6/3
y = 2
So, the method which we can use to remove one variable by adding them is B Elimination
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Find the area of the shade regions. Give your answer as a completely simplify exact value in terms of pie(no approximation). a=
Answer:
41.87 cm²
Step-by-step explanation:
Area of shaded region :
Area (sector of radius 7 cm) - Area (sector of 3 cm)π × θ/360° (r₁² - r₂²)3.14 x 120/360 (49 - 9)3.14 x 1/3 x 40125.6/341.87 cm²please help the subject is exterior angles(triangles)
Find the height in feet of the missile after 5 seconds in the air
The height in feet of the missile after 5 seconds in the air is; 875 ft
How to find the height of a Projectile?
We are given the quadratic function of the height in terms of time, x, in seconds as; h(x) = - 17x² + 260x
where;
h(x) is height after x seconds
x seconds is time of missile in air when thrown.
Thus, after five seconds, we have;
h(5) = - 17(5)² + 260(5)
h(5) = -425 + 1300
h(5) = 875 feet
Complete question is;
A missile is launched from the ground. Its height, h(x), can be represented by a quadratic function in terms of time, x, in seconds.
After 1 second, the missile is 243 feet in the air; after 2 seconds, it is 452 feet in the air.
The height of the can be represented by this function:
h(x) = - 17x² + 260x
Find the height, in feet, of the missile after 5 seconds in the air.
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Find the perimeter.
Perimeter = [?]
Simplify your answer completely.
Answer:
119 4/7
Step-by-step explanation:
Perimeter is all of the lengths of the sides added together. I started by adding all of the whole numbers:
35+10+12+15+24+12+10=118
Then I added the fractions (after making the denominators equal by multiplying the 3/7, 1/7, 2/7 all by 2)
6/14+2/14+4/14+3/14+1/14+4/14+2/14= 22/14
Then I subtracted 14 from 22 to take out our whole number (which would be 14/14 or 1), and see that we are left with 8.
This means that our answer is 119 8/14 or 119 4/7
Simplify the expression:
(6x² − x + 5)
minus
(8x² + 8x-7)
What is the volume of the figure?
A. 188.5 units cubed
B. 196.9 units cubed
C. 205.3 units cubed
D. 213.6 units cubed
2.) which number could not be a value of y if:
y = 4x2-6
a.) 30
b.) 10
c.) -6
d.)-12
The number that could not be a value of y if y = 4x² - 6 is -12.
What is the value of y for a function of f(x)?The value of y for which a function f(x) = y = 4x² - 6 can be determined by knowing the smallest value of y for which x is equal to zero.
So, from the equation y = 4x² - 6, we will replace the value of x with zero to determine the smallest value of y.
i.e.
y = 4(0) - 6
y = 0 - 6
y = -6
Thus, any number smaller than -6 could not be a value of y for the equation y = 4x² - 6.
Therefore, we can conclude that the number that could not be a value of y if y = 4x² - 6 is -12.
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Answer:
-12 is the answer.
Which equations and/or functions represent the graphed line? Select three options.
A coordinate plane with a line passing through the points, (negative 4, 0), (negative 2, 1), (0, 2), and (2, 3).
The equations of the graphed line and function can be written as:
f(x) = 1/2x + 2
y - 3 = 1/2(x - 2)
y - 1 = 0.5(x + 2)
What is the Equation of a Graphed Line?Equation of a graphed line can be expressed in:
Slope-intercept form as y = mx + b, where m = slope, b = y-intercept; or
Point-slope form as y - b = m(x - a), where (a, b) is a point and m = slope.
Find the slope (m) of the line:
Slope (m) = change in y / change in x = 1/2 = 0.5
y-intercept (b) = 2
To express the graphed line in slope-intercept form, substitute m = 1/2 and b = 2 into f(x) = mx + b:
f(x) = 1/2x + 2.
Using the point-slope form, write the equation by substituting m = 1/2 and (a, b) = (2, 3) into y - b = m(x - a):
y - 3 = 1/2(x - 2)
Or substitute m = 0.5 and (a, b) = (-2, 1) into y - b = m(x - a):
y - 1 = 0.5(x - (-2))
y - 1 = 0.5(x + 2)
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HELPP PLEASE ILL MAKE YOU THE BRAINIEST Find the area of the rhombus
Answer:
D1×D2/2sq
445×5= 225
225/2
=112.5
Please help :)))))))))))))
Answer:
\frac{9}{20} (or 9/20, if this doesn't show up the right way in my answer.)
Step-by-step explanation:
Fist what we'll do here is divide 1000 by 450. 1000÷450=2\frac{2}{9} (2/9, if this doesn't show up the right way either).
Then, we'll apply the inverse formula. In case you've forgotten, the inverse of a number is what you have to multiply a number by to get 1. The inverse of 2/9 (too lazy to put it in that form anymore) is 0.45, or 9/20.
If that doesn't work, I might be interpreting this incorrectly.
Here.
Answer:
0.05, or 1/20
Step-by-step explanation:
So, we have the fraction. we can simplify it to 20/9, making the numerator 20. As previously stated, the inverse of a number is what you have to multiply a number by to get 1. So, 1÷20=0.05
Let me know which one works!
Warmest regards,
Sanjana
Professional 6th grader and quantum physics lover
Find the quadratic equation with integral coefficients having roots 6 and 2.
The quadratic equation that has a root of 6 and 2 is x^2 - 8x + 12 = 0
How to determine the quadratic equation?The roots are given as:
x = 6 and x = 2
Rewrite as:
x - 6 = 0 and x - 2 = 0
Multiply both equations
(x - 6)(x - 2) = 0 * 0
Evaluate the product
x^2 - 6x - 2x + 12 = 0
Evaluate the difference
x^2 - 8x + 12 = 0
Hence, the equation that has a root of 6 and 2 is x^2 - 8x + 12 = 0
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On a coordinate plane, triangle B C D is rotated 180 degrees clockwise to form triangle B prime C prime D prime. Identify the angle of rotation that maps triangle BCD to triangle B’C’D’. What is the angle of rotation? 90° 180° 270° 360°
Answer:
180
Step-by-step explanation:
what is the answer to 54785 plus 43543546546546
Which equation shows an example of the associative property of addition?
Answer:
(2+3)+4 = 2+(3+4) this is an example of associative property
Julia buys a spool with 12 yards of wire. The students in
her jewelry-making class use 4 yards 2 feet of the wire
for one project and 7 feet of the wire for another
project. How many feet of wire does Julia have left?
solve pls brainliest
Step-by-step explanation:
(−424.9) × (-0.1) = 42.49
2.7 × (−0.5) = -1.35
Answer: Heyaa! ~
Your Answers when Multiped are...
42.49 -1.35Step-by-step explanation:
-424.9(-0.1)= 42.492.7 × (−0.5) = -1.35- Multiplied. -
Hopefully this helps you! ~
Pettit printing company has a total market value of $100 million, consisting of 1 million shares selling for $50 per share and $50 million of 10 percent perpetual bonds now selling at par. the company's ebit is $13.24 million, and its tax rate is 15 percent. pettit can change its capital structure by either increasing its debt to 70 percent (base on market value) or decrease it to 30 percent. if its decides to increase its use of leverage, it must call its old bonds and issue new ones with a 12 percent coupon. if it decides to decrease its leverage, it will call in its old bonds and replace them with new 8 percent coupon bonds. the company wills ell or repurchase stock at the new equilibrium price to complete the capital structure change. the firm pays out all earnings as dividends; hence; its stock is a zero growth stock. its current cost of equity, rs; is 14 percent. if it increases leverage rs will be 16 percent. if it decreases leverage, rs will be 13 percent. what is the firm's wacc and total corporate value under each capital structure?
The weighted average cost of capital for the firm will be 11.25%.
How to calculate the WACC?The weighted average cost of capital is the calculation of the cost of capital for a firm where each category of capital is weighted.
Here, the weighted average cost of capital will be:
= 0.5(10%)(1 - 15%) + 0.5(14%)
= 0.5(0.1)(0.85) + 0.5(0.14)
= 11.25%
The corporate value at 70% debt when WACC is 11.94% will be:
= (EBIT)(1 - T)/WACC
= (13.24)(1 - 0.15)/0.1194
= $94.26 million
The corporate value at 30% debt when WACC is 11.14% will be:
= (EBIT)(1 - T)/WACC
= (13.24)(1 - 0.15)/0.1114
= $101.02 million
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The sun of two numbers is 7 and a different 1 what are the two numbers
Answer:
3 and 4
Step-by-step explanation:
given that the difference is 7, two numbers that add up to 7 are 3 and 4.
What is the range of the function graphed below?
On a coordinate plane, a graph shows a curve with two points. A solid point is at (1, 3) and an open point is at (4, negative 3).
1 less-than-or-equal-to y less-than 4
Negative 3 less-than y less-than-or-equal-to 3
Negative 2 less-than-or-equal-to y less-than-or-equal-to 3
Negative 3 less-than-or-equal-to y less-than 4
Answer:
Negative 3 less-than y less-than-or-equal-to 3
Step-by-step explanation:
By looking at a coordinate plane, we can easily see the range
remember, a closed dot means includes , and an open dot means does not include
[closed dot]
(open dot)
the range is all possible y-values. so, all y values shown are
3 which it includes
to -3 which it excludes / does not include
so, all y values are greater than -3 and less than or equal to 3
pls answer quickly, thanks!!
At the equilibrium price p, we can solve for the quantity of goods x :
demand = supply
5200 - 0.0005x = 2800 + 0.0003x
2400 = 0.0008x
x = 3,000,000
With this quantity of goods, the equilibrium price is
p = 5200 - 0.0005 (3,000,000)
p = 5200 - 1500
p = 3700