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Helga [31]
4 years ago
15

I need help -Geometry

Mathematics
1 answer:
Fofino [41]4 years ago
8 0

Step-by-step explanation:

We apply the pythagorean theorem on ABC.

AC^2=11^2+60^2 = 3600 + 121 = 3721

AC=61

Which means that sin(BAC) = 60/61.

However, sin^2(BAC) + cos^2(BAC)=1.

3600/3721 + cos^2(BAC) = 3721/3721.

cos^2(BAC) = 121/3721.

BAC is an acute angle so the cos is a positve number.

cos(BAC) = 11/61.

Lastly, x/60 = cos(BAC), so x= 660/61

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What is the smallest integer that rounds to 300 when rounded to the nearest hundred?
aleksley [76]

Answer:

The answer is 250.

Step-by-step explanation:

The smallest integer that can be round off to 300 is 250.

e.g

250

≈ 300

249

≈ 200

7 0
3 years ago
The area of triangle PQR is 273 cm. Given that PQ = 12.8cm and PQR = 107°, find QR.​
storchak [24]

\text{Area of triangle} = \dfrac 12 \times PQ \times QR \times  \sin \angle PQR \\\\\\\implies  273= \dfrac 12 \times 12.8 \times QR \times \sin 107^{\circ}\\\\\implies 273 = 6.4 \sin 107^{\circ}  \times QR\\\\\\\implies QR = \dfrac{273}{6.4 \sin 107^{\circ}} = 44. 606~~ \text{cm}

8 0
3 years ago
Is XYZ = ABC? If so, name which similarity postulate or theorem applies.
vazorg [7]

C. Similar - AA

There is no information given that shows differences between the two triangles so you can assume that they're similar.  The two angles are next to each other with no side interrupting them, and no side length is given, therefore the answer is Similar - AA (angle - angle)

3 0
3 years ago
Read 2 more answers
Write the standard equation of the circle with center (-14, -3) that passes through the point (-5,3),
grin007 [14]

Answer:

(x + 14)^2 + (y + 3)^2 = 117

Step-by-step explanation:

Equation of a circle:

The equation of a circle with center (x_0,y_0) is given by:

(x - x_0)^2 + (y - y_0)^2 = r^2

In which r is the radius.

Center (-14, -3)

This means that x_0 = -14, y_0 = -3

So

(x - x_0)^2 + (y - y_0)^2 = r^2

(x - (-14))^2 + (y - (-3))^2 = r^2

(x + 14)^2 + (y + 3)^2 = r^2

Passes through the point (-5,3),

This means that when x = -5, y = 3. We use this to find the radius squared. So

(x + 14)^2 + (y + 3)^2 = r^2

(-5 + 14)^2 + (3 + 3)^2 = r^2

r^2 = 117

So, the equation of the circle is:

(x + 14)^2 + (y + 3)^2 = r^2

(x + 14)^2 + (y + 3)^2 = 117

6 0
3 years ago
Sophia Isabella share reward of $117 in a ratio of 1 to 8 what fraction of the total reward does Sophia get
Mars2501 [29]
$13 because Isabella will be awarded $104 making the ratio 1:8
3 0
4 years ago
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