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Citrus2011 [14]
3 years ago
14

First answer gets brainleist

Mathematics
1 answer:
Step2247 [10]3 years ago
5 0

Answer:  Third Option is correct.

Explanation:

Since we have given that

In \frac{3}{4} pound of a spice mix,

Number of cups of cinnamon is given by

\frac{5}{6}

We need to find the number of cup of cinnamon per pound,

For this we will use "Unitary method" ,

So, for 1 pound,

Number of cups of cinnamon is given by

\frac{4}{3}\times\frac{5}{6}=\frac{10}{9}=1\frac{1}{9}

\text{So, there are }1\frac{1}{9}\text{ cups the spice mix contain per pound.}

Hence, Third Option is correct.

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What does 8.3 × 10^ -5 in standard notation ​
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Answer:

0.000083

Step-by-step explanation:

When you multiply by 10^-5, you're really multiplying by 0.00001. This multiplied by 8.3 is 0.000083. It also means that you just move the decimal place in 8.3 to the left five times, where you'll get the same answer.

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2 years ago
Triangle FGH is an equilateral triangle.FH=6x+1,FG=3x+10,and GH=9x-8
Lena [83]

Answer:

Acute triangle

x = 3

GH = 19

Step-by-step explanation:

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Jade buys a blouse and a skirt for 34 of their original price. She pays a total of $31.50 for the two items. If the original pri
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It’s what the other person said
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Hiiii
bezimeni [28]

Answer:

5 and -5 (±5)

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Read 2 more answers
The bearing of Q from P is 150
Lynna [10]

Answer:

(i) see first attached diagram

(ii) QR = 22.67 km (2 dp)

(iii) 243°

Step-by-step explanation:

A bearing is the angle in degrees measured clockwise from north.

<u />

<u>Part (i)</u>

see first attached diagram

<u>Part (ii)</u>

The angles marked in blue on the second attached diagram are Consecutive Interior Angles.  In this case they add to 180° as the North lines are parallel.

The sum of angles around a point is 360°

⇒ m∠QPR (shown in red on the second attached diagram) = 360 - 150 - (180 - 15) = 45°        

To calculate the distance between Q and R (marked in red on the attached diagram), use the cosine rule.

⇒ QR² = PR² + QP² - 2(PR)(QP)cos(QPR)

⇒ QR² = 32² + 24² - 2(32)(24)cos(45)

⇒ QR² = 513.8839841...

⇒ QR = √513.8839841...

⇒ QR = 22.67 km (2 dp)

<u>Part (iii)</u>

We need to find the angle marked in green on the third attached diagram.

To do this, we need to find the angle marked in pink and the angle marked in orange, then subtract them from 360°

Pink angle = 180 - 150 = 30° (using the same consecutive angle theorem as before)

Orange angle (o) using the sine rule:

⇒ sin(o)/32 = sin(45)/QR

⇒ sin(o) = 32sin(45)/22.67

⇒ sin(o) = 0.9981652337...

⇒ o = 86.52868176...°

Therefore, the green angle = 360 - 30 - 86.52868176... = 243° (nearest degree)

8 0
2 years ago
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