Answer:
Area A = 12 = 1/2 × x × (5x-2)
5x^2 - 2x -24 = 0
Solution;
Base x = 2.4
Height h = 10 ft
Step-by-step explanation:
Given;
base of the triangle is x feet;
Base = x
The height of a triangle is 2 less than 5 times it's base;
Height = 5x - 2
the area of the triangle is 12 square feet;
Area A = 12 ft^2
The area of a triangle is;
Area A = 1/2 × base × height
Substituting the base and height;;
Area A = 1/2 × x × (5x-2)
Area A = 1/2 × (5x^2 - 2x)
Area A = 12
12 = 1/2 × (5x^2 - 2x)
Multiply through by 2.
24 = (5x^2 - 2x)
5x^2 - 2x -24 = 0
Solving the simultaneous equation;
x = 2.4 or -2
Since the base cannot be negative;
x = 2.4 ft
Height h = 5x -2 = 5(2.4) - 2 = 12 - 2 = 10 ft
Base x = 2.4
Height h = 10 ft
Find parametric equations for the line through point P(-4,5,2) in the direction of the vector (-6,6,-5)
The vector v (-6, 6, -5) points in the direction of itself, so we start there.
We can capture all points on the line through the origin and the point (-6, 6, -5) by scaling v by an arbitrary real number t.
The line through point P and pointing in the same direction as v is parallel to the other line that passes through the origin. Then the line we want can be obtained by translating the line through the origin by a vector p that points to (-4, 5, 2), so the vector equation for this line is
r (t ) = p + t v
r (t ) = (-4, 5, 2) + t (-6, 6, -5)
r (t ) = (-4 - 6t, 5 + 6t, 2 - 5t )
To get the parametric equations, simply take out the components:
x (t ) = -4 - 6t
y (t ) = 5 + 6t
z (t ) = 2 - 5t
Prodigy math again. Please help,. will give brainliest if right!
Answer:
1. 6 6/10
2. 7 6/10
Step-by-step explanation:
Answer:
1. 8 6/10
2. 9 6/10
Step-by-step explanation:
The circumference of the base of a cone is 24 inches. The slant height of the cone is 20 inches. What is the surface area of the cone? Express the answer in terms of . 240 square inches 384 square inches 480 square inches 624 square inches
Answer:
Step-by-step explanation:
Circumference pf base of cone = 24 inches
2πr = 24
[tex]r=\frac{24}{2\pi}\\\\r=\frac{12}{\pi}[/tex]
Lateral surface area = πrl
[tex]=\pi *\frac{12}{\pi }*20\\\\=12*20\\[/tex]
= 240 square inches
Answer:
240 square inches
Step-by-step explanation:
The table represents the equation y=8x what y-value is missing from the table
Answer:
Step-by-step explanation:
There must be an attachment. I have no knowledge of what to solve for, unless you can tell or show me the missing pieces.
Answer: 1, 3 , 5, and 6
I took the test have a great day!
Four students were discussing how to find the unit rate for a proportional relationship.Which method is valid?
Answer:use a calculator
Step-by-step explanation:
The unit rate for a proportional relationship is y = 6x.
The proportional relationship, can be find by the formula,
y = kx.........................1
Where,
X- position at X- cordinate= 1
Y - position at Y- coordinate = 6
k - constant of proportionality
put the values in the equation,
6 = k1
k = 6
Put the value of k into equation 1,
y = 6x
Therefore, the unit rate for a proportional relationship is y = 6x.
To learn more refer to the link:
https://brainly.com/question/12917806
A town's population is 53 comma 350. About 75 people move out of the town each month. Each month, 175 people on average move into town. A nearby town has a population of 55 comma 825. It has no one moving in and an average of 175 people moving away every month. In about how many months will the populations of the towns be equal? Write an equation to model the situation. Then solve the equation and answer the question.
Answer:
In about 9 months the population of the towns will be equal.
Step-by-step explanation:
The population of both cities, after t months, can be modeled by linear functions.
Town A:
Population of 53330.
About 75 people move out of the town each month. Each month, 175 people on average move into town.
So, after t months, the population will be:
[tex]A(t) = 53300 + (175 - 75)t[/tex]
[tex]A(t) = 53300 + 100t[/tex]
Town B:
Population of 55,825.
An average of 175 people moving away every month.
So, after t months, the population will be:
[tex]B(t) = 55825 - 175t[/tex]
In about how many months will the populations of the towns be equal?
This is t for which:
[tex]A(t) = B(t)[/tex]
[tex]53300 + 100t = 55825 - 175t[/tex]
[tex]275t = 2525[/tex]
[tex]t = \frac{2525}{275}[/tex]
[tex]t = 9.18[/tex]
Rounding to the nearest number
In about 9 months the population of the towns will be equal.
Use the correct inverse trig function to find the missing angle, round to the nearest whole number.
15
?
31
Answer:
61 degrees is the missing angle measure
Step-by-step explanation:
[tex]cos^{-1} (\frac{15}{31})[/tex] Use this equation to find the missing angle
61 degrees is the missing angle measure
If this asnwer is correct, please make me Brainliest!
Find the volume of the pyramid.
Answer:
200cm³
Step-by-step explanation:
Volume=[tex]\frac{LXBXH}{3}[/tex]
so 10×10×6=600
600÷3=200
This is a very hard question!! its a math riddle, the teacher said that something like this will be in our test.
My grandson is about as many days as my son in weeks, and my grandson is as many months as I am in years. My grandson, my son and I together are 120 years. Can you tell me my age in years ?
Answer:
72
Step-by-step explanation:
Let m be the age in years. If s is the son's age in years, then the son is 52x weeks old. If g is the grandson's age in years, then the will be grandson 365m days old. So.... the labels are for the equation.
365m = 52x.
Since the grandson is 12w months old,
12w = months.
Since the grandson, son and the person together are 120 years,
m + x + months = 120.
these are the labels (m, x, and month)
month = 624 x 120 / 1041 = 72.
So, I am basically 72 years old.
hope this helped :D
this is truly very hard.
Answer:
72
Step-by-step explanation:
Please Help it urgent
Answer:
Angle BEA
Step-by-step explanation:
They share the same straight line and their degrees add to 180
When multiplying two negative integers what is the sign of the product positive negative zeroor one PLEASE. ANSWER.
Multiplying a negative number by a negative number will give you a positive product.
When multiplying two negative integers, it comes out as positive.
For example, we are given the equation -4 * -4.
Using the rule [ -(-a) = a ], the answer for the equation is 16.
Best of Luck!
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Hello!
Answer:[tex]\boxed{ \bf w~=~4}[/tex]
________________________________________________
Explanation:7(w + 9) = 91
First, we must multiply everything in the brackets by 7.
= 7(w) + 7(9) = 91
= 7w + 63 = 91
Now, we must solve for w. To do this, we will need to isolate it by perfoming the opposite operation on 63. Since it is +63, we'll need to subtract it from both sides of the equation.
= 7w + 63 = 91
- 63 - 63
7w = 28
Since w is being multiplied, we'll have to perform the opposite operation (which is division).
[tex]\frac{7w}{7} = \frac{28}{7}[/tex]
w = 4
The right answer is 4.
look at the attached picture
Hope it will be helpful to you..
Consider these triangles with two known angle
measures.
w
Answer the questions about the triangles.
Which equation can be used to determine the measure
of angle Q?
What is the treasure of angle Y?
48°
48R
What can be concluded about the measure of angle Q
and the measure of angle Y?
86x
86
Р
Y
Answer:
1. 48 + 86 + + Q = 180
2. 46 degrees
3. They are congruent
Step-by-step explanation:
I just got them right on edg
Angle sum property (In ΔPQR, ∠P + ∠Q + ∠R = 180°) can be used to determine the measure of angle Q.
Using angle sum property, ∠Y = 46°.
It can be concluded that ∠Y = ∠Q.
What is angle sum property?The angle sum property of a triangle states that the sum of the angles of a triangle is equal to 180º.
In ΔPQR,
∠P + ∠Q + ∠R = 180° (angle sum property)
86 + ∠Q + 48 = 180
∠Q = 180 - 86 - 48 = 46°
In ΔXYZ,
∠X + ∠Y + ∠Z = 180° (angle sum property)
86 + ∠Y + 48 = 180
∠Y = 180 - 86 - 48 = 46°
As visible, ∠Q = ∠Y.
Learn more about angle sum property here
https://brainly.com/question/4316040
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2$ is what percent of $10
Answer:
20 %
Step-by-step explanation:
$10/100% $2/?
10/ what to get 2 so you do 10/5=2 so 100/5= 20.
What are the solutions of the quadratic equation? x^2-9x+18=0
Answer:
x=6 x=3
Step-by-step explanation:
x^2-9x+18=0
Factor
What 2 numbers multiply to 18 and add to -9
-6*-3 = 18
-6-3 = -9
(x-6) (x-3) =0
Using the zero product property
x-6 =0 x-3 =0
x=6 x=3
Solve for x
•26.45
•10.93
•14.26
•22.19
•20.26
Answer:
x = 26.45
Step-by-step explanation:
Cos theta = adjacent side / hypotenuse
cos 50 = 17 /x
Switch the x and the cos 50
x = 17 / cos 50
x =26.44730506
Rounding to 2 decimal places
x = 26.45
What integer represents a drop in temperature of 12°
Answer:
Integer; - 12
Step-by-step explanation:
If we are considering a situation were there is a drop in temperature, this integer representation would contain a negative;
At the same time the temperature drops by 12 degrees ( ° ) such that this integer is;
Answer; - 12
Plzzzzz answer ASAP help meh
Answer:
1= 8
3= 12
5= 16
7= 20
9= 24
Step-by-step explanation:
1+3=4x2=8
3+3=6x2=12
5+3=8x2=16
9+3=12x2=24
ANSWER:1=8
3=12
5=16
7=20
9=24
step -by - step explanation: 1+3=4×2=8
3+3=6×2=12
5+3=8×2=16
9+3=12×2=24
6. Erin wants to have more than $150 before she goes shopping for gifts for
the holidays. Each time she babysits, she earns $7.50 per hour. Write and
solve an inequality to find h, the number of hours Erin needs to babysit in
order to meet her goal.
Answer: Erin needs to babysit for 20 hours in order for her to meet her goal.
Step-by-step explanation:
7.50h < 150 divide each side of the equation by 7.50
h=20
While in the store, your father purchases drinks for the six people in your van. Part of your
family wants coffee and the rest want soda.
6. Coffee in the store costs $1.50 per cup and sodas are $1.20 each. The cost of the drinks before tax was $8.40.
a. Write a mathematical model that represents the total number of cups of coffee and
sodas.
b. Write a mathematical model that represents the cost of the coffee and soda.
c. Solve the system of equations using the elimination method.
Answer: (2,4) They bought 2 sodas and 4 coffees.
Step-by-step explanation:
A. c + s=6 where c is the number of coffee and s is the number of sodas
B. 1.50c + 1.20s =8.40
C. -1.50 (c + s) =6(-1.50) we will multiply the first equation by -1.50 to eliminate the c
New equation; -1.50 - 1.50s = -9 -0.3s/-0.3=-0.6/-0.3 s=2
-150 + 1.20s = 8.40
So we know they bought 2 sodas. so we will plot 2 into the equation.
1.50c + 1.20(2)=8.40 c= 4
Can you plz answer question on the screenshot?
Answer:
Step-by-step explanation:
Which number is a perfect square 249, 265, or 324?
Answer:
324
Step-by-step explanation:
A number is a perfect square when there are two factors that are identical to one another. 324 is a perfect square since its two identical factors are 18 and 18.
Answer:
324
Step-by-step explanation:
18*18. Hope that helped, vote, thanks, brainliest ;)
Have a great day!
6x + 2 = 26 what is the answer
Answer: x=4
Step-by-step explanation:
Answer:
x=4
Step-by-step explanation:
6x+2=26
Subtract 2 from both sides to isolate the variable
6x=24
Divide by 6
x=4
Two points are shown on the graph. What is the midpoint between these two points?
A) (1, 5)
B) (-1, 2)
C) (-2, 1)
D) (-5, -3)
Answer: C (-2,1)
Step-by-step explanation:
The price of technology stock has risen $9.62 today yesterday's price was $9.53 find the percentage increase round your answer to the nearest 10th of a percent
Answer:
0.9%
Step-by-step explanation:
To find the percentage increase, you can use the following formula:
Percentage change= ((Final price-Initial price)/Initial price)*100
Initial price= $9.53
Final price= $9.62
Variation= ((9.62-9.53)/9.53)*100
Variation= 0.9%
According to this, the percentage increase is 0.9%.
Pythagorean theorem :
There’s no diagram or anything. You can just make a triangle ? :)
Looking for A
A= ?
What is the measurement of < SRT
Triangle
R unknow
S 53 degree
T 48 degree
A) 69 °
B) 79°
C) 99°
D)101 °
Answer:
The sum of all the angles of any triangle is 180°
So, 180 - (53 + 48) = 180 - 101 = 79
<SRT = 79°
Answer:
B
Step-by-step explanation:
i took the unit test <3
Kayla adds the same number to both the numerator and denominator of the fraction 1/10 her resulting fraction equals 2/3 what number did she add to both numerator and denominator of her original fraction
Answer:
17 is added to both numerator and denominator.
Step-by-step explanation:
Given:
Fraction = 1/10
New fraction = 2/3
Find:
Number added to both numerator and denominator.
Computation:
Assume,
a is added to both numerator and denominator.
[tex]\frac{1+a}{10+a}=\frac{2}{3}\\\\3 + 3a=20+2a\\\\3a-2a=20-3\\\\a=17[/tex]
Therefore, 17 is added to both numerator and denominator.
What is 4.937 rounded to the nearest hundredth?
A) 4.90
B) 4.93
C) 4.94
D) 5.00
Answer:
C
Step-by-step explanation:
Answer:
The answer is 4.94 (C (If this is wrong I am sorry but I'm pretty sure it is right)
The reciprocal of the tangent is the ___.
A. tangent
B. secant
C. cosecant
D. cotangent
