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3 years ago

What is the length of segment DC?

Mathematics

1 answer:

erik [133]3 years ago

5 0

Since BD is the bisector of angle B, the segments to its left are proportional to those to its right. The proportion can be written at least 4 ways, but it is convenient to write it with x in a numerator.

x/(15 cm) = (5.6 cm)/(7 cm)
Multiplying by 15 cm, we get
x = (15 cm)×(5.6/7) = 12 cm

The appropriate choice is
D. 12 cm

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cylindrical vase holds 8,038.4 cubic centimeters of water. The height of the vase is 40 centimeters. What is the length of the r

iragen [17]

The radius of the cylindrical vase is 8 centimeters, if the cylindrical vase holds 8,038.4 cubic centimeters of water and the height of the vase is 40 centimeters.

Step-by-step explanation:

The given is,

Volume of cylindrical vase = 8038.4 cubic centimeters

Height of the cylindrical vase = 40 centimeters

Step:1

Formula for volume of cylindrical vase,

$Volume, V=\pi r^{2} h$ ......................(1)

Where, r - Radius of cylindrical vase

h - Height of cylindrical vase

From the given,

V = 8038.4 cubic centimeters

h = 40 centimeters

Equation (1) becomes,

8038.4 $= \pi r^{2} 40$

$=(3.14)(40)r^{2}$ (∵ $\pi$ = 3.14 )

$8038.4 = 125.6 r^{2}$

$r^{2} = \frac{8038.4}{125.6}$

$r =\sqrt{64}$

r = 8 centimeters

Result:

The radius of the cylindrical vase is 8 centimeters, if the cylindrical vase holds 8,038.4 cubic centimeters of water and the height of the vase is 40 centimeters.

7 0

3 years ago

Find the value of x so that the function has the given value. <br> q(x)=12x−3; q(x)=−4

Anna [14]

Answer:

$- \frac{1}{ 12}$

Step-by-step explanation:

since q(x)=-4

substitute

hence

-4=12x-3

take -3 to the other side where it becomes positive

therefore

-1=12x

divide by 12

you will get the above answer

5 0

3 years ago

Which function is represented by the graph?

Gala2k [10]

Answer:

-4,-1

Step-by-step explanation:

ok i got your numbers just find the equation for them your first number is -4,-1 try to find equation for those numbers x is -4 and y is -1

x=-4

y=-1

6 0

3 years ago

A square pyramid has sides of 8 m. Each face is an equilateral triangle.

Annette [7]

Lateral Area means Area of all four triangles

Now area of 1 triangle = $\frac{\sqrt{3}}{4} a^2 = \frac{\sqrt{3}}{4} 8^2$

= $\frac{\sqrt{3}}{4} * 64 = 16\sqrt{3}$ square meters

Now for four triangles we multiply by 4

Lateral area of pyramid = $4* 16\sqrt{3} = 64\sqrt{3}$ m^2

that is Option D

3 0

3 years ago

What is the discriminant of the polynomial below 2x^2+5x-8

Mademuasel [1]

Answer:

89 2 irrational roots

Step-by-step explanation:

The discriminant Is b²-4ac when the equation is in the form

ax²+bx+c so in the equation

a=2 b=5 and c=-8

plug into the equation for the discriminant

so 5²-4(2)(-8)

25-(-64) 2 negatives make a positive so

25+64=89

since 89 isn’t a perfect square 2 irrational roots

4 0

3 years ago