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Leokris [45]
4 years ago
6

Could 7.7 cm, 4.0 cm, and 1.7 cm be the side lengths of a triangle?

Mathematics
1 answer:
Nookie1986 [14]4 years ago
8 0

Answer:

Only applicable if the triangle is right (a 90° angle measurement in one corner).

Using Pythagorean’s theorem, that can be answered.

(4.0)^2 + (1.7)^2 = 18.89

(7.7)^2 = 59.29

The legs A and B do NOT equal a hypotenuse of C, so the answer is NO.

Step-by-step explanation:

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Can someone please help me solve for x and then find the measurments of ∠B asap!
Tanya [424]
Angle-A and angle-B are alternate interior angles with parallel lines cut by a transversal. That tells you that the two angles are EQUAL. So you can write

8x + 78 = 2x + 114 ,

and it should all be smooth sailing for you from that point.
7 0
3 years ago
Read 2 more answers
Four more than twice a number<br><br>a.2x+4<br><br><br>b.4x+2<br><br>c.6x<br><br>d.2x &gt; 4​
makkiz [27]

Answer:

a. 2x + 4

Step-by-step explanation:

Four more than twice a number

Let x = unknown number

Four more than twice of x

Twice of x can be written as 2x

Four more than 2x

Four more can be written as + 4

We get 2x + 4

6 0
2 years ago
Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of cardboard 11 in. by 7 in. by
11111nata11111 [884]

Answer:

The dimension of the open rectangular box is 8.216\times 4.216\times 1.392.

The volume of the box is 8.217 cubic inches.

Step-by-step explanation:

Given : The open rectangular box of maximum volume that can be made from a sheet of cardboard 11 in. by 7 in. by cutting congruent squares from the corners and folding up the sides.

To find : The dimensions and the volume of the open rectangular box ?

Solution :

Let the height be 'x'.

The length of the box is '11-2x'.

The breadth of the box is '7-2x'.

The volume of the box is V=l\times b\times h

V=(11-2x)\times (7-2x)\times x

V=4x^3-36x^2+77x

Derivate w.r.t x,

V'(x)=4(3x^2)-2(36x)+77

V'(x)=12x^2-72x+77

The critical point when V'(x)=0

12x^2-72x+77=0

Solve by quadratic formula,

x=\frac{18+\sqrt{93}}{6},\frac{18-\sqrt{93}}{6}

x=4.607,1.392

Derivate again w.r.t x,

V''(x)=24x-72

Now, V''(4.607)=24(4.607)-72=38.568>0 (+ve)

V''(1.392)=24(1.392)-72=-38.592 (-ve)

So, there is maximum at x=1.392.

The length of the box is l=11-2x

l=11-2(1.392)=8.216

The breadth of the box is b=7-2x

b=7-2(1.392)=4.216

The height of the box is h=1.392.

The dimension of the open rectangular box is 8.216\times 4.216\times 1.392.

The volume of the box is V=l\times b\times h

V=8.216\times 4.216\times 1.392

V=48.217\ in.^3

The volume of the box is 8.217 cubic inches.

5 0
3 years ago
Commercial agents earn 5% of the cost of each product they sell. If an agent earns
kicyunya [14]

Based on the information the cost of the product is $40,000.

Given:

Percentage earn=5% or 0.05

Amount earned=$2,000

Let x represent the cost of the product

Hence:

Formulate

.05x = $2000  

Divide both sides by .05

x=$2,000/.05

x=$40,000

Inconclusion  the cost of the product is $40,000.

Learn more about cost here:brainly.com/question/824281

5 0
2 years ago
Read 2 more answers
Robert plays cricket. He hit the ball in such a way that it goes up 180 feet
PilotLPTM [1.2K]

Answer:

4 feet per second

Step-by-step explanation:

Hi there!

v=D/t where v is velocity (speed), D is distance and t is time

Plug in the known values (D=180 feet, t=45 seconds)

v=180/45\\v=4

Therefore, the speed of the ball is 4 feet per second.

I hope this helps!

4 0
3 years ago
Read 2 more answers
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