Find the height of the triangle?
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Answer:
12
Step-by-step explanation:
a^2 +b^2 = c^2
5^2 + b^2 = 13^2
25 +b^2 = 169
b^2= 169-25
b^2=144
b= [tex]\sqrt{144}[/tex]
b= 12
Multiply.
(2x2 – 3x + 1)(x2 - 4x - 3)
O A. 3x2 - 7x-2
O B. 2A - 11x3 + 7x2 + 5x - 3
O C. 2x4 + 12x2 – 3
O D. 244 - 4x2 + 12x-3
B. 2x^4-11x^3+7x^2+5x-3
The rate of change of y is proportional to y. When t = 0, y = 4, and when t = 2, y = 8. What is the value of y when t = 3?
Solution :
Given :
The rate of change of y is proportional to y.
Therefore, [tex]$\frac{dy}{dt} \propto y$[/tex]
[tex]$\frac{dy}{dt} = k y$[/tex] , where k is the proportionality constant
[tex]$\frac{dy}{y}=k \ dt$[/tex]
Taking integration on both the sides,
[tex]$\int \frac{dy}{y}=\int kdt$[/tex]
[tex]$\int \frac{dy}{y}=k\int dt$[/tex]
[tex]$\ln |y| = kt+C$[/tex], where C is the integration constant
[tex]$y=e^{kt+C}$[/tex]
[tex]$y=e^{kT}e^C$[/tex]
[tex]$y(t)=C_1e^{kt}$[/tex] ....................(1)
When t = 0, y = 2, so
[tex]$2=c_1e^{k\times 0}$[/tex]
[tex]$2=c_1e^{ 0}$[/tex]
[tex]$2=C_1$[/tex]
From equation (1),
[tex]$y=2e^{kt}$[/tex] ........................(2)
when t = 2, y = 4
[tex]$4=2e^{k\times 2}$[/tex]
[tex]$e^{2k}=\frac{4}{2}$[/tex]
[tex]$e^{2k}=2$[/tex]
[tex]$2k= \ln(2)$[/tex]
[tex]$k=\frac{1}{2} \ln(2)$[/tex]
From (2),
[tex]$y=2e^{\frac{1}{2}\ln(2)t}$[/tex]
[tex]$y=2e^{\frac{t}{2}\ln(2)}$[/tex]
[tex]$y=2e^{\ln(2)^{t/2}}$[/tex]
[tex]$y=2.2^{t/2}$[/tex]
When t = 3,
[tex]$y = 2 . 2 ^{3/2}$[/tex]
[tex]$y=2[(\sqrt2)^2]^{3/2}$[/tex]
[tex]$y= 2. 2\sqrt2$[/tex]
[tex]$y=4 \sqrt2$[/tex]
Which pair of adjacent angles is supplementary?
A. Pair A
B. Pair B
C. Pair C
D. Pair D
Answer:
correct answer
Step-by-step explanation:
a b c or d thanks for helping me
Answer:
either A,B,C, or D?
Step-by-step explanation:
A triangle has two angle measures of 20 degrees and 30 degrees. Find the third angle. This triangle is a(n) ________ triangle
Question 2 options:
A. acute
B. obtuse
C. right
D. it does not make a triangle
Answer:
Obtuse
Step-by-step explanation:
x = missing angle
20+30+x=180
50+x=180
x=130
90<130
Thus, the triangle is obtuse
will give brainliest
Answer:
x = 90 degrees, right triangle
Step-by-step explanation:
48 + 42 + x = 180
90 + x = 180
180 - 90 = x
x = 90 degrees
I NEED HELP!!
Pls help
Answer:
Number 4
Step-by-step explanation:
A theoretical probability chance is a probably where all the other chances are equal. In this case, you can roll 6 different types of numbers on the dice: 1, 2, 3, 4, 5, and 6. And the number of times the dice was rolled was 60 times. So, we can divide 60/6 because there were 60 rolls and 6 different possibilities. 60/6=10, so 10 is the theoretical probability. As you can see, the graph shows that the number 4 was rolled 10 times, which means that number 4 is the experimental probability that matched the theoretical probability.
Find the area of the yellow region.
Round to the nearest tenth.
5 ft
Area = [ ? ] ft2
Answer:
yellow area = 5.37 ft²
Step-by-step explanation:
area of square = L x W = 5 x 5 = 25 ft²
radius = 2.5 ft
area of circle = PiR² = (3.14)(2.5²) = 19.63 ft²
25 - 19.63 = 5.37 ft²
The area of the yellow region is 5.375 square feet.
What is area?Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.
Given that, the side of a square = 5 feet and radius of a circle = 2.5 feet.
Here, area of a square = side²
= 5²
= 25 square feet
Area of a circle = πr²
= 3.14×2.5²
= 19.625 square feet
So, the area of the yellow region = 25-19.625
= 5.375 square feet
Therefore, the area of the yellow region is 5.375 square feet.
Learn more about the area here:
https://brainly.com/question/27683633.
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Consider the line 7x+8y=-5.
What is the slope of a line perpendicular to this line?
What is the slope of a line parallel to this line?
Answer:
Step-by-step explanation:
7x + 8y = -5
8y = -7x - 5
Divide the whole equation by 8
[tex]\frac{8y}{8}=\frac{-7x}{8}-\frac{5}{8}\\\\y =\frac{-7}{8}x-\frac{5}{8}[/tex]
Parallel lines have same slope
Slope of the parallel line = (-7/8)
Slope of the line perpendicular to this line = -1/m = -1 ÷ (-7/8)
[tex]= (-1)*\frac{8}{-7}\\\\= \frac{8}{7}[/tex]
What is the equation in point-slope form of the line that passes through (3,-2) with a slope 4?
Answer:
y + 2 = 4(x - 3)
Step-by-step explanation:
Answer: y+2= 4(x-3)
Step-by-step explanation:
The equation for point slope form is y-y1=m(x-x1) 3 is our x1 value and -2 is our y1 value as well as 4 being our m value when you plug the numbers into the equation you get a answer of y+2= 4(x-3)convert into 24 hours clock.4.17pm
Answer:
16:17
Step-by-step explanation:
when it's pm, add 12 to the 12 hr time
What is 5 4/7 as an improper fraction
Answer:
39/7
Step-by-step explanation:
Step 1
Multiply the denominator by the whole number
7 × 5 = 35
Step 2
Add the answer from Step 1 to the numerator
35 + 4 = 39
Step 3
Write answer from Step 2 over the denominator
39/7
The lengths of two sides of a triangle are shown below:
Side 1: 3x2 − 6x − 10
Side 2: 9x + 5x2 − 8
The perimeter of the triangle is 6x3 + 10x2 − x − 3.
Part A: What is the total length of the two sides, 1 and 2, of the triangle? (5 points)
Part B: What is the length of the third side of the triangle? Hint: Take Perimeter minus 2 sides combined.
(10 points)
Answer:
Part A) [tex](3x^2 - 6x - 10) + (5x^2 + 9x - 8 ) =8x^2 + 3x - 18[/tex]
Part B) [tex](10x^2 - x - 3) - (8x^2+3x-18) = 2x^2 -4x+15[/tex]
What is the measurement of angle C? Part C
Answer:
130 degrees is your answer
Step-by-step explanation:
The measurement of angle C is given by the expression 180° – 25° – 25°. So, angle C measures 130°.- answer from edmentum
The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $7500 to rent trucks plus an additional fee of $150.25 for each ton of sugar. The second company charges $7143 to rent trucks plus an additional fee of $175.75 for each ton of sugar.
Answer:
14 tons of sugar
$9603.5
Step-by-step explanation:
For what amount of sugar do the two companies charge the same?
What is the cost when the two companies charge the same?
Let
x = ton of sugar
Company A:
7500 + 150.25x
Company B:
7143 + 175.75x
1. Equate company A and company B
7500 + 150.25x = 7143 + 175.75x
7500 - 7143 = 175.75x - 150.25x
357 = 25.50x
x = 357/25.50
x = 14 tons of sugar
2. Cost when both companies charge the same
Company B:
7143 + 175.75x
= 7143 + 175.75(14)
= 7143 + 2460.5
= 9603.5
Company B = $9603.5
Company A:
7500 + 150.25x
= 7500 + 150.25(14)
= 7500 + 2103.5
= 9603.5
Company A = $9603.5
Brian earns $5 per hour babysitting. He makes a graph and plots what he
earns for different numbers of hours. He places the number of hours he
works on the x-axis and his earnings on the y-axis. What is the slope of the
line that Brian graphs?
Answer:
The slope of the line is 5
Step-by-step explanation:
When we talk of the slope of a straight line graph, we refer to the rate at which the values on the y-axis changes as a ratio of the changes we have on the x-axis
Now, from the question, number of hours is placed on x-axis, while we have the amounts on the y-axis
having $5 per hour means the rate of change of what is earned to number of hours worked is 5 and this is the slope of the line
You charge $2 per square yard to paint.Which equation can you solve to find the amount you will charge to paint a triangular wall with a base of 4 yards and a height of 6 yards?
Answer:
2(1/2 x 4 x 6) = x
expaination:
area of triangle = 1/2 x 2 x 6 sq yards
multiply by $2/sq yard
Answer: $24
Step-by-step explanation:
The formula for a triangle is 1/2 times base times height
so 0.5 x 4 x 6
0.5 x 4 = 2
2 x 6 = 12
12 x $2 = 24
so you charge $24 dollars
Hope this helps.
solve for x in example 2. x =_________
10x+20=145
6 Find the Surface Area of the below image. 4 cm 10 cm 7 cm Part A There are pairs of rectangles in this Rectangular Prism.
Answer:
I think the surface area is 276 if I'm not mistaken hope this helps!
i’ll give brainliest help a girl out
Answer:
ST, WX
Step-by-step explanation:
Answer:
ST and WX are congruent
If 9x²+24x+c is a perfect square, then c is?
Answer:
the value of c is 4. or may consider it 4square as per the formula
hope is helps you.
you may Mark me as brainliest
Find the AOS, vertex and sketch the parabola.
5) y=-x2 + 4x+3
vertex:
AOS:
What will be the linear equation for the shown table?
Answer:
y=2x+5
Step-by-step explanation:
To find a linear equation you must find the slope and y intercept to create an equation in y=mx+b form (slope-intercept form)
So slope is = y2-y1 / x2-x1 [2 and 1 are subscripts] so 11-7/3-1 so m=4/2 = 2
Slope = 2, now find b
So using y = mx + b, substitute what you know so 7 = 2(1) + b so b=7-2 = 5
Put it all together y = 2x + 5
What is congruent in this problem?
Answer:
Step-by-step explanation:
SVT and TVU
Hope that helps!
Help me please, thank you!
Answer:
8
Step-by-step explanation:
18-10=8 units
Answer:
8
Step-by-step explanation:
The total height of the rectangle and triangle is given as 18
The height of the rectangle is given as 10 , then
height of triangle = 18 - 10 = 8
Solve for x.
19)
20)
759
21x + 6
11-2
21)
22)
60°
r+139
8x-4
132
23)
24)
23r-5
12x + 17
21x+5
Answer:
x
2
+
2
x
−
3
=
0
x
2
−
3
x
=
0
3
x
2
−
15
x
=
0
Step-by-step explanation:
what’s the value of x?
Answer:
x = 20
Step-by-step explanation:
Assuming that both lines are straight lines, we can make opposite sides equal. So... 3x+50 = 6x-10 --> 3x+60=6x --> 60=3x --> x=20
Mara has no money. In order to buy a gift, she borrowed $35 from her mom. When her birthday came, she received $125 dollars. If she repays her mom, how much money will she have?
Answer:
She will have $90 left over!
Step-by-step explanation:
Hope this is correct!
PLEASE HELP!! Explain step by step how to graph 2x-3y<18
Answer: Graph the inequality by finding the boundary line, then shading the appropriate area. In slope intercept form its y>-6 + 2x/3. Graph the y intercept -6, then use rise/run and go up 2 points and then to the right 3 points. Then shade the upper right because it is a greater sign and make the lines dashed.
Step-by-step explanation: Hope this helps :)