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andrew-mc [135]

2 years ago

10

The surface area of a prism is 54 square inches. What is the surface area of a similar prism that is smaller by a scale 1/3

1 answer:

Anna11 [10]2 years ago

6 0

Answer:

18 square inches

Step-by-step explanation:

Surface Area of original prism: 54 square inches

Surface Area of similar prism:

1/3 x 54

=18 square inches

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A box of chocolates contains 18 chocolate squares. Ten of the squares are milk chocolate, 5 are dark chocolate, and 3 are white

stira [4]

Answer:

d

Step-by-step explanation:

18/36 is equivalent to 1/3

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2 years ago

What is the equation of the line

LenKa [72]

Answer:

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Step-by-step explanation:

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2 years ago

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If the terminal point of ø is (1,0), what is tan ø?

charle [14.2K]

Given:

The terminal point of $\phi$ is (1,0).

To find:

The value of $\tan\phi$ .

Solution:

If the terminal point of $\theta$ is (x,y), then

$\tan \theta=\dfrac{y}{x}$

It is given that the terminal point of $\phi$ is (1,0).

Here, x-coordinate is 1 and the y-coordinate is 0. Using the above formula, we get

$\tan \phi=\dfrac{0}{1}$

$\tan \phi=0$

Therefore, the value of $\tan \phi$ is 0.

4 0

2 years ago

Please help i need to finish

elena-s [515]

Answer:

B. $\overline A \overline C \cong \overline B \overline D$

Step-by-step explanation:

The hypotenuse leg theorem (HL) requires the proof that the hypotenuse and the corresponding leg of the triangles to be equal in length. From the diagram, it can be found that $\overline D \overline C$ is a common (shared) side of both triangles, so the additional fact needed is for the hypotenuses to be the same length.

∴ $\overline A \overline C \cong \overline B \overline D$ is the additional fact needed to prove $\triangle ADC \cong \triangle BCD$

Hope this helps :)

5 0

2 years ago

Which of the following equations have complex roots?

mestny [16]

Answer:

A

Step-by-step explanation:

Complex roots of quadratic functions occur when the <u>discriminant is negative</u>.

<u>Discriminant</u>

$b^2-4ac\quad\textsf{when}\:\:ax^2+bx+c=0$

Evaluate the discriminant of each of the given equations.

$\textsf{A.} \quad 3x^2+2=0$

$\implies a=3, \quad b=0, \quad c=2$

$\implies b^2-4ac=0^2-4(3)(2)=-24$

As -24 < 0 the equation will have complex roots.

$\textsf{B.} \quad 2x^2+1=7x$

$\implies 2x^2-7x+1=0$

$\implies a=2, \quad b=-7, \quad c=1$

$\implies b^2-4ac= (-7)^2-4(2)(1)=41$

As 41 > 0 the equation does not have complex roots.

$\textsf{C.} \quad 3x^2-1=6x$

$\implies 3x^2-6x-1=0$

$\implies a=3, \quad b=-6, \quad c=-1$

$\implies b^2-4ac=(-6)^2-4(3)(-1)=48$

As 48 > 0 the equation does not have complex roots.

$\textsf{D.} \quad 2x^2-1=5x$

$\implies 2x^2-5x-1=0$

$\implies a=2, \quad b=-5, \quad c=-1$

$\implies b^2-4ac=(-5)^2-4(2)(-1)=33$

As 33 > 0 the equation does not have complex roots.

Learn more about discriminants here:

brainly.com/question/27444516

brainly.com/question/27869538

Learn more about complex roots here:

brainly.com/question/26344541

6 0

1 year ago