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2 years ago

Help please

Mathematics

2 answers:

Talja [164]2 years ago

5 0

Answer: No it's not possible to form a triangle

Why not? Because the shorter sides 2 ft and 3 ft don't add to a result longer than 7 ft

2+3 = 5

For a triangle to be possible, the sum of any two sides must be larger than the third side. Refer to the triangle inequality theorem.

Vladimir79 [104]2 years ago

5 0

Answer: No

Step-by-Step Explanation:

According to the Triangle Inequality Theorem, the Sum of 2 Sides of a Triangle should be greater than the Third Side.

Therefore,
3 + 2 = 5 (< 7) - Case 1
2 + 7 = 9 (> 7) - Case 2
3 + 7 = 10 (> 7) - Case 3

In the 1st Case, the sum of 2 sides is lesser than the third side. So he can’t build his triangular garden bed with boards of these measures without cutting them.

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A scuba diver is exploring at an elevation of -12.2 meters. As the diver rises to the surface, she plans to stop and rest briefl

svlad2 [7]

Answer:

7.65 meters.

Step-by-step explanation:

Let x represent the distance that diver will travel.

We have been given that a scuba diver is exploring at an elevation of -12.2 meters. As the diver rises to the surface, she plans to stop and rest briefly at a reef that has an elevation of -4.55 meters. We are asked to find the distance that diver will travel.

The initial elevation plus x will be equal to -4.55 meters. We can represent our given information in an equation as:

$-12.2+x=-4.55$

$-12.2+12.2+x=-4.55+12.2$

$x=7.65$

Therefore, the scuba diver will travel a vertical distance of 7.65 meters.

7 0

3 years ago

Find the height of the tree

NeX [460]

Use the property of similarity of triangles =》the corresponding sides of a triangle should be in the same ratio.

Take the missing side as 'x'.

The corresponding sides here are,

■ 7 & 14 ft

■ 5 & x ft

7/14 = 5/x

7x = 5 × 14 (cross multiplication)

7x = 70

x = 70/7

x = 10 ft

Height of the tree = 10 ft.

_____

Hope it helps ⚜

8 0

2 years ago

A landscaper has enough cement to make a patio with an area of 150 Sq ft. The homeowner wants the length of the patio to be 6 ft

Natasha_Volkova [10]

$A=lw=150\\l=w+6\\(w+6)w=150\\w^2+6w=150\\w^2+6w-150=0\\w=\frac{-b+-\sqrt{b^2-4ac}}{2a}\\w=\frac{-(6)+-\sqrt{(6)^2-4(1)(-150)}}{2(1)}\\w=\frac{-6+-\sqrt{36+600}}{2}\\w=\frac{-6+-\sqrt{636}}{2}\\w=\frac{-6+-2\sqrt{159}}{2}\\w=-3+-\sqrt{159}>0\\w=-3+\sqrt{159}\\\\l=(-3+\sqrt{159})+6\\l=3+\sqrt{159}$

Width = -3 + sqrt(159)
Length = 3 + sqrt(159)

4 0

3 years ago

The amount of money Deon earns working at a store is given in the table.

Sloan [31]

Answer:

C.

Explanation:
I had the quiz as well :)

3 0

3 years ago

Solve for X <br><br>Explain if possible :)

sweet-ann [11.9K]

The two labeled angles are alternate interior angles, and as such, they are the same.

From this result you can build the equation

$15x-2 = 13x+2$