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Juliette [100K]
2 years ago
7

(05.01)Sammy is trying to determine how many triangles she can create out of a square grid that has a side of 10 inches. Use the

image below to determine the area of the triangle and how many she can cut out.
Triangle with height of 5 inches and base of 10 inches aligned to the right side of a 10 by 10 inch square grid.

The area of the triangle is 50 in2, so she can create only 2 triangles.

The area of the triangle is 50 in2, so she can create only 4 triangles.

The area of the triangle is 25 in2, so she can create only 2 triangles.

The area of the triangle is 25 in2, so she can create only 4 triangles.

Mathematics
1 answer:
valkas [14]2 years ago
8 0

Answer:

That's a lot of points for a question like this

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Pls help a girl out ;-;
Sveta_85 [38]

The order of locations from highest to lowest is Caspian sea, lammefjord, Trins Alexanderpolder, Fenland, Raczki

Explanation:

The order of the locations from highest to lowest can be determined using the values of meters below sea level.

From the data, the highest to lowest value can be written as

28 meters

8 meters

7 meters

4 meters

2 meters

Thus, from the data, the locations from highest to lowest can be written as

Caspian sea

Lammefjord

Trins Alexanderpolder

Fenland

Raczki

8 0
3 years ago
What is the answer to this question? <br> 1.4a^2+4a-63
LUCKY_DIMON [66]

Answer:

Step-by-step explanation:

Δ = 4^{2}  - 4 * 4 * (-63)  =  16 + 16 * 63 = 16 * (1 + 63) = 16 * 64

VΔ = 4 *  8 = 32

a = (- 4 ± 32) * \frac{1}{8}

a' = 7/2

a''= 9/2

3 0
2 years ago
A baker uses a coffee mug with a diameter of 8cm to cut out circular cookies from a big sheet of cookie dough. What is the area
kodGreya [7K]
Diameter = 8 cm

radius = diameter/2 = 4 cm

A = pi * r^2

A = pi * (4 cm)^2

A = 16pi cm^2
4 0
3 years ago
The equation 10x + 5y = 150​
Verdich [7]

Answer:

x = 14.5      y = 1

Step-by-step explanation:

get the x alone by subtracting 5y from both sides

10x + 5y = 150

      - 5y    -5y

10x = -5y + 150

divide both sides by 10

<u>10x</u> = <u>-5y + 150</u>

10            10

x = -0.5y + 15

Now that we've solved for x, we can plug it into the original equation

10 (-0.5y + 15) + 5y = 150

now we solve for y the same way we did x

first distribute 10 into (-0.5y + 15)

-5 + 150 +5y = 150

now we get the y alone

-5 + 150 + 5y = 150

+5  -150            -150 +5

5y = 5

now divide by 5

<u>5y</u> = <u>5</u>

5     5

y = 1

now that we have both x and y, we plug y into our solution for x

x = -0.5y + 15

x = -0.5(1) + 15

x= -0.5 + 15

x = 14.5

4 0
3 years ago
Find an equation for the line tangent to the curve at the point defined by the given value of t. Also, find the value of d^2y/dx
nikdorinn [45]

Answer:

Differentiation will give you the gradient for the tangent at any point, and you use the product rule whenever a function can be thought of as two functions multiplied together.

If

f

(

x

)

=

g

(

x

)

×

h

(

x

)

then

f

'

(

x

)

=

g

'

(

x

)

h

(

x

)

+

g

(

x

)

h

'

(

x

)

so if

y

=

x

×

sin

x

then

d

y

d

x

=

1

×

sin

x

+

x

×

cos

x

=

sin

x

+

x

cos

x

We know that

x

=

π

2

, so the gradient is

m

=

sin

(

π

2

)

+

π

2

cos

(

π

2

)

=

1

+

π

2

×

0

=

1

Therefore, we can say that

y

=

m

x

+

c

y

=

(

1

)

x

+

c

y

=

x

+

c

So all we really need to find now is the value for

c

, the

y

intercept. We do this by working out a point

(

x

,

y

)

on the graph. We are already given that

x

=

π

2

, so

y

=

x

sin

x

=

π

2

sin

(

π

2

)

=

π

2

×

1

=

π

2

∴

(

x

,

y

)

=

(

π

2

,

π

2

)

Now we substitute this into the equation we already have for the tangent,

y

=

x

+

c

,

(

x

,

y

)

=

(

π

2

,

π

2

)

π

2

=

π

2

+

c

c

=

π

2

−

π

2

=

0

∴

y

=

x

+

c

=

x

+

(

0

)

=

x

which means the tangent to the curve

y

=

x

sin

x

at

(

π

2

,

π

2

)

is simply

y

=

x

.

3 0
2 years ago
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