2. Manuel can mow 2 yards per hour. Let h represent the number of hours,

Determine if the triangles, ΔSXC and ΔDXY, are similar. If so, identify the similarity criterion.

Lesechka [4]

THE ANSWER IS B SAS SIMILARITY

3 0

3 years ago

Alexis sold boxes of homemade granola bars for $8.50 each. It cost her $2.25 to bake and package each box of granola bars. What

scZoUnD [109]

Answer: 6.25 is her profit

Step-by-step explanation: cost-price= protect

2.25 - 8.50=6.25

4 0

2 years ago

Use the discriminant to determine the number of solutions and types of solutions for the quadratic equation, below. Then answer

Setler79 [48]

Answer:

A. Discriminant = 116

B. Number of solutions for the quadratic equation = 2

C. Type of solutions (circle one):Imaginary

D. Type of solutions (circle one):irrational

Step-by-step explanation:

The given quadratic equation is

${x}^{2} + 8x = 13$

We rewrite in standard form to get;

${x}^{2} + 8x - 13 = 0$

The discriminant is

$D = {b}^{2} - 4ac$

where a=1, b=8, c=-13

We substitute to get:

$D = {8}^{2} - 4 \times 1 \times - 13$

$D = 64 + 52$

$D = 116$

Since the discriminant is great than zero, we have two distinct real roots

6 0

2 years ago

Se cocina una pizza de 20 cm de radio, en su interior se coloca al azar 12 piezas de salami

Furkat [3]

Answer:

The area of cheese is 388π cm.

Step-by-step explanation:

Given that,

Radius of pizza = 20 cm

Number of pieces = 12

Radius of circle = 1 cm

We need to calculate the area of pizza

Using formula of area

$A=\pi\times r^2$

Put the value into the formula

$A=\pi\times20^2$

$A=400\pi\ cm^2$

We need to calculate the area of circle

Using formula of area

$A'=\pi\times r^2$

Put the value into the formula

$A'=\pi\times1^2$

$A'=\pi\ cm^2$

Now, we multiply the result by 12 because they are 12 salamis.

So. the area of salamis will be

$A'=12\pi\ cm^2$

We need to calculate the area of cheese

The total area of the pizza and subtract the area of the salamis

$A''=A-A'$

Put the value in to the formula

$A''=400\pi-12\pi$

$A=388\pi\ cm^2$

Hence, The area of cheese is 388π cm.

6 0

2 years ago

The diagram shows a circle, centre O.<br> Work out the value of a. <br> BCO=41 degrees

sattari [20]

Answer:

a = 49°

Step-by-step explanation:

OB = OC ( both radii of the circle ), thus

Δ BOC is isosceles and the base angles are congruent, that is

∠ OBC = ∠ OCB = 41° , so

∠ BOC = 180° - (2 × 41)° = 180° - 82° = 98°

The angle on the circumference BAC is half the angle at the centre for angles subtended on the same arc , thus

a = 0.5 × 98° = 49°

5 0

2 years ago