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2 years ago

How many 2/3-ounce packages of almonds can be made with 8 ounces of almonds?

Mathematics

1 answer:

ziro4ka [17]2 years ago

8 0

ANSWER: 12 packages can be made.

Hope it helps u!

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Triangle DEF is circumscribed about circle R. Points S, T and U are points of tangency where SD = 4 m and UF = 7 m. What is the

Mama L [17]

The measure off DF is 11.

In a circle inscribed within a triangle, the distance from each vertex of the triangle to the two nearest touchpoints (points of tangency on the circle) are equal. Since SD=4, DT=4 as well. Since UF=7, then FT=7.

DF=DT+TF=4+7=11.

4 0

3 years ago

Read 2 more answers

Write a quadratic equations given the roots 5/2 and 9

sukhopar [10]

Answer:

(x-5/2)(x-9).

x^2-5/2x-5/2x+45/2.

Multiply the number by 2.

which is 2(x^2-5/2x-5/2x+45/2).

2x^2-5x-5x+45.

2x^2-10x+45.

7 0

3 years ago

The venticles of a right angle are a[0,4], b[3,-2] c[-3, -4] Find It's area.

givi [52]

Answer:

The area of this triangle is about 21.2132 square units.

Step-by-step explanation:

First, find the lengths of the legs AB and BC.

Length of AB ===

Find the difference in position vertically:

$-2-4=-6$

The points are 6 units apart vertically.

Find the difference in position horizontally:

$3-0=3$

The points are 3 units apart horizontally.

These lengths form a right triangle with the distance between the points as the hypotenuse, so you can use the pythagorean theorem to solve:

$a^2+b^2=c^2\\3^2+6^2=c^2\\9+36=c^2\\45=c^2\\c\approx6.7082$

AB is about 6.7082 units long.

Length of BC ===

Same process as above.

Find the vertical distance:

$-4--2=-2$

2 units apart vertically.

Find the horizontal distance:

$-3-3=-6$

6 units apart horizontally.

Use the pythagorean theorem:

$2^2+6^2=c^2\\4+36=c^2\\40=c^2\\c=6.3246$

BC is about 6.3246 units long.

Area ===

Finally, you can use these to find the area of the triangle. The area of a right triangle is just half the area of a rectangle with the same base and height:

$A=\frac{b\times h}{2}\\\\A=\frac{6.7082\times6.3246}{2}\\\\A=\frac{42.4264}{2}\\\\A=21.2132$