All categories

2 years ago

PLEASE HELP I NEED QUICK!!!

Mathematics

1 answer:

anzhelika [568]2 years ago

4 0

5 cups of rice if you look at 1 1/3 it says 5 1/3 cups can be made so 5 cups of rice

You might be interested in

Aniyah has 10 1/3 feet of ribbon. She wants to cut the ribbon into 1 2/5 size pieces. How many full pieces of ribbon can she cut

tekilochka [14]

Answer:

Step-by-step explanation:

Because 10 1/3 divided by 1 2/5 would be 7 and something and the question is asking how many full pieces, so just 7

8 0

3 years ago

If m∠A = 72°, m∠B = 32°, and c = 8, what are the measures of the remaining sides and angle?

mixas84 [53]

The laws of cosine and sine and the given parameters can be used to

calculate the measure of angles and distances.

Correct responses:

Question 1: A. m∠C = 76°, a = 7.84, b = 4.37

Question 2: C. 1 triangle

Question 3: D. 31.2 miles

Question 4: A. b = 10.799

Question 5: C. 28.9°

<h3>Methods and calculations used to obtain the above responses </h3>

Question 1:

If m∠A = 72°

m∠B = 32°

c = 8

Therefore;

m∠C = 180° - 72° - 32° = 76°

$\displaystyle \frac{a}{sin(72^{\circ})} = \mathbf{ \frac{8}{sin(76^{\circ})} }$

$\displaystyle a = \mathbf{\frac{8}{sin(76^{\circ})} \times sin(72^{\circ})} \approx 7.84$

$\displaystyle b = \frac{8}{sin(76^{\circ})} \times sin(32^{\circ}) \approx 4.37$

The correct option is therefore;

A. m∠C = 76°, a ≈ 7.84, b ≈ 4.37

Question 2

The given parameters are;

$\displaystyle B = \mathbf{ \frac{\pi}{6} }$

$\displaystyle \frac{\pi}{6} = 30^{\circ}$

a = 20

b = 10

Therefore, by the law of cosine we have;

b² = a² + c² - 2·a·c·cos(B)

Which gives;

10² = 20² + c² - 2×20×c×cos(30°)

100 = 400 + c² - 20·c·(√3)

c² - 20·√3 ·c + 300 = 0

$\displaystyle c = \frac{20 \cdot \sqrt{3} \pm\sqrt{1200-4 \times 1 \times 300} }{2 \times 1} = \mathbf{ 10 \cdot \sqrt{3} }$

Therefore, given that c has only one value, the three sides of the triangle are known, and the number of triangles unique triangles by Side-Side-Side description is; C. 1 triangle

Question 3

The distance between the weather station = 24 miles

The bearing of the storm from weather station A = N17°W

The bearing of the storm from weather station B = N48°W

The angle formed at point C in ΔABC is therefore;

108° - 42° - 107° = 31°

By sine rule, we have;

$\displaystyle \frac{24}{sin(31^{\circ})} =\mathbf{\frac{x}{sin(42^{\circ})} }$

Where:

x = The distance from weather station A from the storm

Which gives;

$\displaystyle x = \frac{24}{sin(31^{\circ})} \times sin(42^{\circ}) \approx \mathbf{31.2 \ miles}$

The distance from weather station A from the storm is D. 31.2 miles

Question 4

∠A = 52°

∠C = 57°

Side BC = 9

Therefore;

∠B = 180° - 52° - 57° = 71°

∠B = 71°

According to the law of sines, we have;

$\displaystyle \frac{b}{sin(71^{\circ})}= \mathbf{ \frac{9}{sin(52^{\circ})} }$

Therefore;

$\displaystyle b = \frac{9}{sin(52^{\circ})} \times sin(71^{\circ}) \approx \mathbf{ 10.799}$

The correct option is; A. b = 10.799

Question 5

Given:

Label of the vertex of the triangle formed are; The golfer, spectator, hole

Distance from the golfer to the hole = 200 yards

Distance from the golfer to the spectator = 140 yards

Vertex angle at the spectator = 110°

By using the law of sines, we have;

$\displaystyle \frac{200}{sin(110^{\circ})} = \frac{140}{sine \ of \ the \ angle \ at \ the \ hole, \ \phi}$

Therefore;

$\displaystyle sin(\phi) = \mathbf{ \frac{140}{200} \times sin(110^{\circ})} = 0.7 \times sin(110^{\circ})$

The angle at the hole, ∅ = arcsin(0.7×sin(110°)) ≈ 41.13°

Therefore;

The angle that the golfer has = 180° - 110° - 41.1° = 28.9°

The angle that the golfer has between the spectator and the hole is C. 28.9°

Learn more about law of cosine and sine here:

brainly.com/question/2384846

brainly.com/question/16555495

7 0

2 years ago

What is container B that is full after the pumping is complete ?

scoray [572]

Answer

68.4%

Step-by-step explanation

The volume of a cylinder is calculated as follows:

$V=\pi r^2h$

where r is the radius and h is the height of the cylinder.

In the case of cylinder A, its radius is r = 5 ft (= 10/2) and its height is h = 14 ft. Then, its volume is:

$\begin{gathered} V_A=\pi\cdot5^2\cdot14 \\ V_A=350\pi\text{ ft}^3 \end{gathered}$

In the case of cylinder B, its radius is r = 8 ft (= 16/2) and its height is h = 8 ft. Then, its volume is:

$\begin{gathered} V_B=\pi\cdot8^2\cdot8 \\ V_B=512\pi\text{ ft}^3 \end{gathered}$

After the pumping is completed all the liquid in cylinder A, which was full, is placed in cylinder B. If the volume of cylinder B represents 100%, then we need to find what percent, x, represents the volume of cylinder A. We can do this with the help of the next proportion:

$\frac{512\pi\text{ ft}^3}{350\pi\text{ ft}^3}=\frac{100\text{ \%}}{x\text{ \%}}$

Solving for x:

$\begin{gathered} 512\pi\cdot x=100\cdot350\pi \\ x=\frac{100\cdot350\pi}{512\pi} \\ x\approx68.4\text{ \%} \end{gathered}$

6 0

2 years ago

What is the sum of 12 – 5i and –3 + 4i?

LekaFEV [45]

Answer:

10i and 7i

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Emily Runs 10 ft./s Jake runs 334 feet and 26 seconds Katie runs 1 mile in 596 seconds and Stephanie runs 580 feet in one minute

shutvik [7]

Jake runs fastest

Step-by-step explanation:

The given is:

Emily Runs 10 ft./s
Jake runs 334 feet in 26 seconds
Katie runs 1 mile in 596 seconds
Stephanie runs 580 feet in one minute

We need to find who runs fastest

To solve the problem we must to find the unit rate of each one in feet per second

∵ Jake runs 334 feet and 26 seconds

- To find the unite rate divide 334 feet by 26 seconds

∴ Jake's rate = 334 ÷ 26 = 12.85 ft./s

∵ Katie runs 1 mile in 596 seconds

- Change the mile to feet

∵ 1 mile = 5280 feet

∴ Katie runs 5280 feet in 596 seconds

- To find the unite rate divide 5280 feet by 596 seconds

∴ Katie's rate = 5280 ÷ 596 = 8.86 ft./s

∵ Stephanie runs 580 feet in one minute

- Change the minute to seconds

∵ 1 minute = 60 second

∴ Stephanie runs 580 feet in 60 seconds

- To find the unite rate divide 580 feet by 60 seconds

∴ Stephanie's rate = 580 ÷ 60 = 9.67 ft./s

∵ Emily's rate is 10 ft./s

∵ Jake's rate is 12.85 ft./s

∵ Katie's rate is 8.86 ft./s

∵ Stephanie's rate is 9.67 ft./s

- The fastest one who has the greatest rate

∵ Jake's rate is the greatest

∴ Jake runs the fastest

Jake runs fastest

Learn more:

You can learn more about the word problems in brainly.com/question/1634276

#LearnwithBrainly

6 0

3 years ago