To find 19+(11+37)Lennon added 19 and 11 Then he added 37 to the sum What property did he use?

Angela bought a bookmark in the shape of an arrow as shown below. The base and height of the triangle are both 3 inches.

Lina20 [59]

The area of a 2D form is the amount of space within its perimeter. The area of the arrow is 11.25 in².

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

For the given problem, the image is given below.

The area of the arrow is,

Area = Area of rectangle + Area of triangle

= (1.5 in × 4.5 in) + (0.5×3×3)

= 6.75 in² + 4.5 in²

= 11.25 in²

Hence, the area of the arrow is 11.25 in².

Learn more about the Area:

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7 0

2 years ago

What tests are used to determine the radius of convergence of a power series? A. Divergence TestB. Root Test C. Comparison Test

REY [17]

Answer:

The radius of convergence is half of the length of the interval of convergence. If the radius of convergence is R then the interval of convergence will include the open interval: (a − R, a + R). To find the radius of convergence, R, you use the Ratio Test.

7 0

3 years ago

No files if your not sure don’t Awnser if correct I will give brainlest

Kruka [31]

Answer:

to convert a fraction to a decimal you have to divide the numerator with the denominator.

so Rylie ate 12 grapes out of 20= 12/20

12/20=0.6

Step-by-step explanation:

4 0

3 years ago

The mass of the particles that a river can transport is proportional to the sixth power of the speed of the river. A certain riv

kari74 [83]

The river flows at 2 miles per hour. This is the speed of the current, or the speed at which the water itself is moving.

The mass of the particles moving in river is proportional to the sixth power of 2, or $2^6 = 64$ miles per hour. So, if x is the mass of the particle, then the speed is modeled by an inverse relationship $x * 2^6 = k$ , for some constant k.

For particles that are 15 times the usual mass, the speed of the river itself must increase for the particles to travel at the same speed as before. The mass of the particles is still proportional to the sixth power of the speed of the river, but the speed of the river can no longer be 2 miles per hour. It is some speed y, which we are solving for.

So, the key here is proportional. We can set up two proportions and cross multiply.

$\dfrac{x}{2^6} = \dfrac{15x}{y^6} \\ (x)(y^6)=(2^6)(15x)$

Cancelling our x's (because we don't need to solve for them), we have

$y^6 = 15(2^6) = 15(64)=960$

To solve for y, we must take the sixth root of both sides, or raise both sides to the one-sixth power.

$\sqrt[6]{y^6} = \sqrt[6]{960}$

Using a calculator, we see that $\sqrt[6]{960} = 3.14 \ miles \ per \ hour$ .

6 0

3 years ago

Consider the graph that represents the following quadratic equation y=-1/3(x+2)^2+5

makkiz [27]

We have that
<span>y=-1/3(x+2)</span>²<span>+5

using a graph tool
see the attached figure

we know that
1) the graph open downward
2) the vertex of the graphic is the point (-2,5)
3) the axis of symmetry of the graph is x=-2
4) the x intercept values are (-5.873,0) and (1.873,0)
5) the y intercept value is (0,3.667)
</span><span>
</span>

7 0

3 years ago