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3 years ago

Two sides of a triangle have the following measures. Find the range of possible measures for the third side.

Mathematics

1 answer:

strojnjashka [21]3 years ago

3 0

Answer:

1 and 15

Step-by-step explanation:

8-7=1

8+7=15

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Can someone help me pls pls help with this question

True [87]

Answer:

Step-by-step explanation:

The mean is 11,000

8 0

2 years ago

Classify each figure as many ways as possible. Write : quadrilateral , trapezoid , parallelogram , rhombus , rectangle , or squa

allochka39001 [22]

2. Quadrilateral, rectangle, parallelogram

3. Quadrilateral, trapazoid

4. Quadrilateral

5 0

3 years ago

The rectangular prism shown has a surface area of 488 square inches. What is the length of the prism?

BigorU [14]

Answer:

length of the prism = 244 - (width x height) / width + height)

Step-by-step explanation:

Let length be a and width be b and height be c

2 (a * b) + 2 (b* c) + 2 (a * c) = 488

2ab+ 2bc + 2ac = 488

ab + bc + ac = 244

ab + ac = 244 - ac

a (b + c) = 244-ac

a = 244-bc / b + c

Therefore the length of the prism = 244 - (width x height) / width + height)

8 0

3 years ago

URGENT HELP PLEASE!

Vaselesa [24]

Answer:

(a) $x=\dfrac{\pi}{8},\dfrac{3\pi}{8},\dfrac{9\pi}{8},\dfrac{11\pi}{8}$

(b) $x=\dfrac{3\pi}{2},\dfrac{\pi}{6},\dfrac{5\pi}{6}$

Step-by-step explanation:

It is given that $0\leq x\leq 2\pi$ .

(a)

$\sqrt{2}\sin 2x=1$

$\sin 2x=\dfrac{1}{\sqrt{2}}$

$\sin 2x=\dfrac{\pi}{4}$

$2x=\dfrac{\pi}{4},\dfrac{3\pi}{4},\dfrac{9\pi}{4},\dfrac{11\pi}{4}$ $[\because \sin x=\sin y\Rightarrow x=n\pi+(-1)^ny]$

$x=\dfrac{\pi}{8},\dfrac{3\pi}{8},\dfrac{9\pi}{8},\dfrac{11\pi}{8}$

(b)

$\csc^2 x-\csc x-2=0$

$\csc^2 x-2\csc x+\csc x-2=0$

$\csc x(\csc x-2)+1(\csc x-2)=0$

$(\csc x+1)(\csc x-2)=0$

$\csc x=-1\text{ or }\csc x=2$

$\sin x=-1\text{ or }\sin x=\dfrac{1}{2}$ $[\because \sin x=\dfrac{1}{\csc x}]$

$x=\dfrac{3\pi}{2}\text{ or }x=\dfrac{\pi}{6},\dfrac{5\pi}{6}$

Therefore, $x=\dfrac{3\pi}{2},\dfrac{\pi}{6},\dfrac{5\pi}{6}$ .

5 0

3 years ago

Each side of a square is increasing at a rate of 3 cm/s. At what rate is the area of the square increasing when the area of the

abruzzese [7]

The area of the square is increasing at the rate of 36(3/2)^(1/2).btw,i forget to add ^2 to `cm`

3 0

3 years ago