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3 years ago

What is the standard unit of measurement in the metric system

1 answer:

5 0

Which measurement?
To measure distance, the base unit is meter
To measure mass, the base unit is gram
To measure volume, the base unit is liter

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Lindsay has scored 15 goals in 10 lacrosse games this season. a) What is her unit rate of scoring? b) How many goals might Linds

pashok25 [27]

A)1.5 goals per match
b) 1.5x35= 52.5 so 53
Assuming she is consistent

8 0

3 years ago

Which of following is the graph of y = -(x + 1)2 -3?

Len [333]

Answer:

See below.

Step-by-step explanation:

The graph of the quadratic equation is a parabola or u shaped graph. It has a vertex at (-1,-3) since h=-1 and k=-3 in the vertex form. It is also facing down since the leading coefficient is negative.

7 0

3 years ago

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What is 6^7 in expanded form?

Wewaii [24]

Answer:

6x6x6x6x6x6x6

Step-by-step explanation:

6^2 is 6x6

6^3 is 6x6x6

etc...

6^7 is 6x6x6x6x6x6x6

8 0

3 years ago

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Cherie is jogging around a circular track. She

skelet666 [1.2K]

Answer:

Measure of minor angle JOG is $95.5^{\circ}$

Step-by-step explanation:

Consider a circular track of radius 120 yards. Assume that Cherie starts from point J and runs 200 yards up to point G.

$\therefore m JG = 200 yards, JO=120 yards$ .

Now the measure of minor arc is same as measure of central angle. Therefore minor angle is the central angle $\angle JOG = \theta$ .

To calculate the central angle, use the arc length formula as follows.

$Arc\:Length\left(s\right) = r\:\theta$

Where $\theta$ is measured in radian.

Substituting the value,

$200=120\:\theta$

Dividing both side by 120,

$\dfrac{200}{120}=\theta$

Reducing the fraction into lowest form by dividing numerator and denominator by 40.

$\therefore \dfrac{5}{3}=\theta$

Therefore value of central angle is $\angle JOG = \theta=\left(\dfrac{5}{3}\right)^{c}$ , since angle is in radian

Now convert radian into degree by using following formula,

$1^{c}=\left(\dfrac{180}{\pi}\right)^{\circ}$

So multiplying $\theta$ with $\left(\dfrac{180}{\pi}\right)^{\circ}$ to convert it into degree.

$\left(\dfrac{5}{3}\right)^{c}=\left(\dfrac{5}{3}\right) \times \left(\dfrac{180}{\pi}\right)^{\circ}$

Simplifying,

$\therefore \theta = 95.49^{circ}$

So to nearest tenth, $\angle JOG=95.5^{circ}$

8 0

3 years ago

Use the Remainder Theorem to find the remainder for (2x^3-3x^2+6)/(x-1) and state whether or not the binomial is a factor of the

Bezzdna [24]

Answer:

Remainder= 5, and the binomial $(x-1)$ is not a factor of the given polynomial.

Step-by-step explanation:

Given polynomial is $(2x^3-3x^2+6)$ , we have to divide this with a binomial [tex}(x-1)[/tex] using remainder theorem.

Remainder theorem says if $(x-a)$ is a factor then remiander would be $f(a)$

Therefore for $(x-1), \ {we find}\ f(1)}$

$f(1)=(2\times 1^3-3\times1^2+6)\\1^3 =1\\1^2=1\\Substituting \ this \ above\\f(1)= (2-3+6)=5$

Thus the remainder is 5 and since it is not 0 , so the binomial $(x-1)$ is not a factor of the given polynomial.

6 0

3 years ago

Read 2 more answers