All categories

3 years ago

For each model below write the portion of the grid that is shaded as a percent and as a fraction. EXPLAIN.

Mathematics

1 answer:

Rudik [331]3 years ago

5 0

Answer:

Just find the area of each shape .fir the first triangle it will be (0.5 x6 x6) so the answer is 18 . So the shaded part is 18 out of 100 or 18% . And so on for the trapezoid and the combined figure of square and triangle together

Step-by-step explanation:

You might be interested in

Zack brought two new jet skis for $15,480 how will make 38 equal payments how much will each payment be?

Free_Kalibri [48]

15480/38=407.368 for each payment

8 0

3 years ago

The vertex of this parabola is at (-2,-3). When the y-value is -2, the x-value is -5. What is the coefficient of the squared ter

ra1l [238]

Answer:

The coefficient of the squared term of the equation is 1/9.

Step-by-step explanation:

We are given that the vertex of the parabola is at (-2, -3). We also know that when the y-value is -2, the x-value is -5. Using this information we want to find the cofficient of the squared term in the parabola's equation.

Since we are given the vertex, we can use the vertex form:

$\displaystyle y=a(x-h)^2+k$

Where a is the leading coefficient and (h, k) is the vertex.

Since the vertex is (-2, -3), h = -2 and k = -3:

$\displaystyle y=a(x-(-2))^2+(-3)$

Simplify:

$y=a(x+2)^2-3$

We are also given that y = -2 when x = -5. Substitute:

$(-2)=a(-5+2)^2-3$

Solve for a. Simplify:

$\displaystyle \begin{aligned} -2&=a(-3)^2-3\\ 1&=9a \\a&=\frac{1}{9}\end{aligned}$

Therefore, our full vertex equation is:

$\displaystyle y=\frac{1}{9}(x+2)^2-3$

We can expand:

$\displaystyle y=\frac{1}{9}(x^2+4x+4)-3$

Simplify:

$\displaystyle y=\frac{1}{9}x^2+\frac{4}{9}x-\frac{23}{9}$

The coefficient of the squared term of the equation is 1/9.

3 0

4 years ago

A box contains 14 large marbles and 10 small marbles. Each marble is either green or white 8 of the large marbles are green, and

netineya [11]

The probability that the marble is large or white is 0.5714.

<h3>What is probability?</h3>

Probability is the branch of mathematics that studies the possible outcomes of given events together with the outcomes' relative likelihoods and distributions.

Probability of an event is

P(A) = Number of favorable outcomes/ Total Number of outcomes

= n(A)/n(S)

where

P(A) is the probability of an event “A”

n(A) is the number of favorable outcomes

n(S) is the total number of events in the sample space.

We have,

Number of large marbles = 14

Number of small marbles = 10

Number of large green marbles = 8 which implies

Number of large white marbles = 14 - 8 = 6

Number of small white marbles = 4 which implies

Number of small green marbles = 10 - 4 = 6.

Now, let

Let X be the event of drawing large marble.

Let Y be the event of drawing small marble.

Let M be the event of drawing white marbles.

Let N be the event of drawing green marbles.

Since only one marble is drawn at a time ,

so P(X) = 14/24

P(Y) = 10/24

P(M) = 10/24

P(N) = 14/24

We have to find the probability that a marble is large or white i.e. P(X∪M).

P(X∪M) = P(X) + P(Y) - P(X∩M)

P(X∩M) = In 14 large marbles 6 are white marbles = 6/14.

P(X∪M) = P(X) + P(Y) - P(X∩M) = 14/24 + 10/24 - 6/14 = 0.5833+0.4167-0.4286 = 0.5714.

Therefore, the probability of drawing large or white marble is 0.5714.

To know more about probability, visit

brainly.com/question/19169117

#SPJ4

3 0

1 year ago

If 49^3y = radical 7^y+1, then y = Explain, please.

Elenna [48]

Sorry It took so long, but hope this helps.

7 0

3 years ago

Find the value of y (Angle A and angle B are congruent) A) 64 B) 68 C) 71 D) 82

aliina [53]

Answer:

The value of y is 64 ⇒ first answer

Step-by-step explanation:

* Lets study the figure to solve the question

- The figure is a polygon of 5 sides

- It has five interior angles and five exterior angles

- The sum of its interior angles depends on the number of its sides

- We can find the sum of the measures of its interior angles from this

rule ⇒ the sum = (n - 2) × 180°, where n is the number of its sides

- The sum of the measures of its exterior angles is 360°

(fixed for any polygon)

- The sum of the measure of an interior angle and its exterior angle

is 180°

∵ m∠A = m∠B

∴ The exterior angle of ∠A = the exterior angle of ∠B

∵ The exterior angle of ∠B is y°

∴ The exterior angle of ∠A is y°

∵ The measure of the interior angle of the exterior angle x° is 90°

∴ 90° + x° = 180° ⇒ subtract 90 from both sides

∴ x° = 90°

∵ The polygon has five exterior angles

# Angle of measure 75 , angle of measure 67 , y° , y° , x°

∴ 75° + 67° + y° + y° + x° = 360° ⇒ sum of the exterior angles

∵ x° = 90°

∴ 75° + 67° + y° + y° + 90° = 360° ⇒ simplify

∴ 232 + 2y° = 360° ⇒ subtract 232 from both sides

∴ 2y° = 128 ⇒ divide both sides by 2

∴ y° = 64°

* The value of y is 64

4 0

3 years ago

Read 2 more answers