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3 years ago

How many additional cups of sugar are needed?

Mathematics

1 answer:

storchak [24]3 years ago

8 0

Answer:

Step-by-step explanation:

since $p =s$ , and $p=6$ ,

$s=6$ .

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If Julie needs 3 1/4 cups of oatmeal, how many 1/4 cups of oatmeal will she use?

Romashka-Z-Leto [24]

Julie will use 13 1/4 cups of oatmeal.

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3 years ago

Read 2 more answers

If x=3 what is the value of y in this equation?

inn [45]

Answer:

$\displaystyle \large{y=36}$

Step-by-step explanation:

We are given the equation $\displaystyle \large{y=12x}$ . To find y-value when or at x = 3, simply substitute x = 3 in which gives us $\displaystyle \large{y=12(3)}$ then evaluate the value as we obtain the y-value or final answer to the question:

$\displaystyle \large{\boxed{y=36}}$

If you have any questions about this question or for clarification, do not hesitate to ask in comment!

6 0

3 years ago

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Three gardeners used different methods to estimate the diagonal length of a garden in feet.

Elden [556K]

Answer: C

Step-by-step explanation:

4 0

3 years ago

Find sin(a)&cos(B), tan(a)&cot(B), and sec(a)&csc(B).

Reil [10]

Answer:

Part A) $sin(\alpha)=\frac{4}{7},\ cos(\beta)=\frac{4}{7}$

Part B) $tan(\alpha)=\frac{4}{\sqrt{33}},\ tan(\beta)=\frac{4}{\sqrt{33}}$

Part C) $sec(\alpha)=\frac{7}{\sqrt{33}},\ csc(\beta)=\frac{7}{\sqrt{33}}$

Step-by-step explanation:

Part A) Find $sin(\alpha)\ and\ cos(\beta)$

we know that

If two angles are complementary, then the value of sine of one angle is equal to the cosine of the other angle

In this problem

$\alpha+\beta=90^o$ ---> by complementary angles

$sin(\alpha)=cos(\beta)$

Find the value of $sin(\alpha)$ in the right triangle of the figure

$sin(\alpha)=\frac{8}{14}$ ---> opposite side divided by the hypotenuse

simplify

$sin(\alpha)=\frac{4}{7}$

therefore

$sin(\alpha)=\frac{4}{7}$

$cos(\beta)=\frac{4}{7}$

Part B) Find $tan(\alpha)\ and\ cot(\beta)$

we know that

If two angles are complementary, then the value of tangent of one angle is equal to the cotangent of the other angle

In this problem

$\alpha+\beta=90^o$ ---> by complementary angles

$tan(\alpha)=cot(\beta)$

Find the value of the length side adjacent to the angle alpha

Applying the Pythagorean Theorem

Let

x ----> length side adjacent to angle alpha

$14^2=x^2+8^2\\x^2=14^2-8^2\\x^2=132$

$x=\sqrt{132}\ units$

simplify

$x=2\sqrt{33}\ units$

Find the value of $tan(\alpha)$ in the right triangle of the figure

$tan(\alpha)=\frac{8}{2\sqrt{33}}$ ---> opposite side divided by the adjacent side angle alpha

simplify

$tan(\alpha)=\frac{4}{\sqrt{33}}$

therefore

$tan(\alpha)=\frac{4}{\sqrt{33}}$

$tan(\beta)=\frac{4}{\sqrt{33}}$

Part C) Find $sec(\alpha)\ and\ csc(\beta)$

we know that

If two angles are complementary, then the value of secant of one angle is equal to the cosecant of the other angle

In this problem

$\alpha+\beta=90^o$ ---> by complementary angles

$sec(\alpha)=csc(\beta)$

Find the value of $sec(\alpha)$ in the right triangle of the figure

$sec(\alpha)=\frac{1}{cos(\alpha)}$

Find the value of $cos(\alpha)$

$cos(\alpha)=\frac{2\sqrt{33}}{14}$ ---> adjacent side divided by the hypotenuse

simplify

$cos(\alpha)=\frac{\sqrt{33}}{7}$

therefore

$sec(\alpha)=\frac{7}{\sqrt{33}}$

$csc(\beta)=\frac{7}{\sqrt{33}}$

6 0

3 years ago

What is the value of x? 1/3 v2 units 1/2 v3 units 2v3 units 3v2 units

Len [333]

Answer:

Step-by-step explanation:

3/x = sin45

x = 3/sin45

x = 3 / ½(√2)

x = 3(2/√2)

x = 3((2√2)/2)

x = 3√2

8 0

2 years ago