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2 years ago

9

Sue has a recipe that calls for 6 cups of flour for every cup of salt. If she uses 4 cups of flour, how much salt does she need

to add?

1 answer:

Karolina [17]2 years ago

7 0

The answer is 2/3 cups of salt.

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The probability that the parking lot of a mall is full on a holiday is 0.19. The probability that it is a holiday is 0.29. What

Marta_Voda [28]

19 percent, because holiday is given therefore you just take the percentage of the parking lot <span />

8 0

3 years ago

HELP! Find the value of sin 0 if tan 0 = 4; 180 < 0< 270

BabaBlast [244]

Hi there! Use the following identities below to help with your problem.

$\large \boxed{sin \theta = tan \theta cos \theta} \\ \large \boxed{tan^{2} \theta + 1 = {sec}^{2} \theta}$

What we know is our tangent value. We are going to use the tan²θ+1 = sec²θ to find the value of cosθ. Substitute tanθ = 4 in the second identity.

$\large{ {4}^{2} + 1 = {sec}^{2} \theta } \\ \large{16 + 1 = {sec}^{2} \theta } \\ \large{ {sec}^{2} \theta = 17}$

As we know, sec²θ = 1/cos²θ.

$\large \boxed{sec \theta = \frac{1}{cos \theta} } \\ \large \boxed{ {sec}^{2} \theta = \frac{1}{ {cos}^{2} \theta} }$

And thus,

$\large{ {cos}^{2} \theta = \frac{1}{17}} \\ \large{cos \theta = \frac{ \sqrt{1} }{ \sqrt{17} } } \\ \large{cos \theta = \frac{1}{ \sqrt{17} } \longrightarrow \frac{ \sqrt{17} }{17} }$

Since the given domain is 180° < θ < 360°. Thus, the cosθ < 0.

$\large{cos \theta = \cancel\frac{ \sqrt{17} }{17} \longrightarrow cos \theta = - \frac{ \sqrt{17} }{17}}$

Then use the Identity of sinθ = tanθcosθ to find the sinθ.

$\large{sin \theta = 4 \times ( - \frac{ \sqrt{17} }{17}) } \\ \large{sin \theta = - \frac{4 \sqrt{17} }{17} }$

Answer

sinθ = -4sqrt(17)/17 or A choice.

4 0

3 years ago

Select all that apply.

galina1969 [7]

A and C
^^^^^^^^^^^^^^^

4 0

3 years ago

Read 2 more answers

Brandon has a garden in his backyard. He picked 66 tomatoes from 6 tomato plants. What is the ratio of tomato plants to tomatoes

Makovka662 [10]

The answer is 1:11. After it being simplified from 6:66. Hope this helps.

4 0

3 years ago

Read 2 more answers

Which angles are complementary<br> to <1. Select all that apply.

lbvjy [14]

Answer:

∠5

Step-by-step explanation:

Complementary angles are angles that:

sum to 90°
make a right angle

Given this information, angles 2, 3, and 4 are already right angles. That leaves angle 5 and angle 1 to be complementary with each other, as they form a right angle.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

~ ren

4 0

2 years ago