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Svetradugi [14.3K]
3 years ago
10

Conner bought a birthday card for $2.19,gift wrap for $3.89,and a game for $13.13. Estimate the total cost

Mathematics
1 answer:
Dmitry [639]3 years ago
3 0
The total cost should be around 19.20
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Please help
V125BC [204]

A cone that is sliced through the vertex would make the shape of a triangle.

You are told the h eight is 10 cm and the radius is 4 cm.

The radius would be half the base, so the base would be 4 * 2 =8 cm.

The area of the triangle is found by multiplying the base by the height, then dividing by two.

Area = 8 x 10 = 80

80 / 2 = 40 square centimeters.

3 0
3 years ago
HELP ME WITH THESE TWO PLS !! I'LL GIVE BRAINLIEST
GenaCL600 [577]

Answer:

that is a two sided triangle

6 0
2 years ago
In Triangle XYZ, measure of angle X = 49° , XY = 18°, and
marissa [1.9K]

Answer:

There are two choices for angle Y: Y \approx 54.987^{\circ} for XZ \approx 15.193, Y \approx 27.008^{\circ} for XZ \approx 8.424.

Step-by-step explanation:

There are mistakes in the statement, correct form is now described:

<em>In triangle XYZ, measure of angle X = 49°, XY = 18 and YZ = 14. Find the measure of angle Y:</em>

The line segment XY is opposite to angle Z and the line segment YZ is opposite to angle X. We can determine the length of the line segment XZ by the Law of Cosine:

YZ^{2} = XZ^{2} + XY^{2} -2\cdot XY\cdot XZ \cdot \cos X (1)

If we know that X = 49^{\circ}, XY = 18 and YZ = 14, then we have the following second order polynomial:

14^{2} = XZ^{2} + 18^{2} - 2\cdot (18)\cdot XZ\cdot \cos 49^{\circ}

XZ^{2}-23.618\cdot XZ +128 = 0 (2)

By the Quadratic Formula we have the following result:

XZ \approx 15.193\,\lor\,XZ \approx 8.424

There are two possible triangles, we can determine the value of angle Y for each by the Law of Cosine again:

XZ^{2} = XY^{2} + YZ^{2} - 2\cdot XY \cdot YZ \cdot \cos Y

\cos Y = \frac{XY^{2}+YZ^{2}-XZ^{2}}{2\cdot XY\cdot YZ}

Y = \cos ^{-1}\left(\frac{XY^{2}+YZ^{2}-XZ^{2}}{2\cdot XY\cdot YZ} \right)

1) XZ \approx 15.193

Y = \cos^{-1}\left[\frac{18^{2}+14^{2}-15.193^{2}}{2\cdot (18)\cdot (14)} \right]

Y \approx 54.987^{\circ}

2) XZ \approx 8.424

Y = \cos^{-1}\left[\frac{18^{2}+14^{2}-8.424^{2}}{2\cdot (18)\cdot (14)} \right]

Y \approx 27.008^{\circ}

There are two choices for angle Y: Y \approx 54.987^{\circ} for XZ \approx 15.193, Y \approx 27.008^{\circ} for XZ \approx 8.424.

6 0
3 years ago
Verify csc^2t-cos t sect= cot^2 t
Ymorist [56]

Rewriting the left hand side,

csc²t - cost sec t

= (1/sin²t)-(cost)(1/cost)

= 1/sin²t - 1

= 1/sin²t - sin²t/sin²t

= (1-sin²t)/sin²t

= cos²t/sin²t

= cot²t

7 0
2 years ago
Read 2 more answers
In a nine-inning game, 12 of a baseball team’s 17 outs were fly balls. Fifty percent of the outs made by infielders and 100% of
Helga [31]
The right answer is 29 balls.
8 0
3 years ago
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