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ch4aika [34]
3 years ago
14

Help please !!!!!!!!!!!!!!

Mathematics
1 answer:
shepuryov [24]3 years ago
6 0
The right answer is going To be d
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Sam evaluated the expression x2y for x = 7 and y = 9. He got a value of 49. which of the follwing statements is correct
Marrrta [24]
<span>B. sam forgot to multiply. 
 The correct answer is
</span> x^2*y=(7^<span>2)*(9)=49*9=441 </span> 
7 0
3 years ago
A rectangular board has an area of 648 square centimeters. The triangular part of the board has an area of 162 square centimeter
maksim [4K]

Answer:

25%.

Step-by-step explanation:

Let E be the event that the dart lands inside the triangle.

We have been given that a rectangular board has an area of 648 square centimeters. The triangular part of the board has an area of 162 square centimeters.

We know that probability of an event represents the chance that an event will happen.

\text{Probability}=\frac{\text{Favorable no. of events}}{\text{Total number of possible outcomes}}

\text{Probability that dart lands inside the triangle}=\frac{\text{Area of triangle}}{\text{Area of rectangle}}

\text{Probability that dart lands inside the triangle}=\frac{162}{648}

\text{Probability that dart lands inside the triangle}=0.25

Convert into percentage:

0.25\times 100\%=25\%

Therefore, the probability that dart lands inside the triangle is 25%.

7 0
3 years ago
Read 2 more answers
Find an equation of the parabola y = ax2 + bx + c that passes through (0, 1) and is tangent to the line y = 4x − 4 at (1, 0).
larisa86 [58]
We are given the following:
          - parabola passes to both (1,0) and (0,1) 
<span>          - slope at x = 1 is 4 from the equation of the tangent line </span>

<span>First, we figure out the value of c or the y intercept, we use the second point (0, 1) and substitute to the equation of the parabola. W</span><span>hen x = 0, y = 1. So, c should be equal to 1. The</span><span> parabola is y = ax^2 + bx + 1 </span>

<span>Now, we can substitute the point (1,0) into the equation,
</span>0 = a(1)^2 + b(1) + 1 
<span>0 = a + b + 1
a + b = -1 </span>

<span>The slope at x = 1 is equal to 4 which is equal to the first derivative of the equation.</span>
<span>We take the derivative of the  equation ,
y = ax^2 + bx + 1</span>
<span>y' = 2ax + b 
</span>
<span>x = 1, y' = 2
</span>4 = 2a(1) + b 
<span>4 = 2a + b </span>

So, we have two equations and  two unknowns,<span> </span>
<span>2a + b = 4 </span>
<span>a + b = -1 
</span><span>
Solving simultaneously,
a = 5 </span>
<span>b = -6</span>

<span>Therefore, the eqution of the parabola is y = 5x^2 - 6x + 1 .</span>
6 0
3 years ago
Two lines intersect and two of the vertical.angles measure 37 what is the measure of the other two vertical angles
Hoochie [10]
Lets start of with what we know.
• There are two 27 degree angles 27 + 27 = 52 is the sum of the angles.
•There are 360 degrees all around the intersection

So, we can find out the sum of the 2 angles that are unknown by subtracting.
360-52=308

So, if the sum of the unknown 2 angles are 308, we can divide by 2 to find the measure of the unknown angles.
308/2=154
4 0
3 years ago
Read 2 more answers
What is the acceleration of a plane that increases its speed from 800 kilometers per hour to 860 kilometers per hour in 5 second
gayaneshka [121]
I came up with 43,200 km/h^2
8 0
2 years ago
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