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Nata [24]
3 years ago
12

You decide to bake some cakes. You need 150 g of flour for 12 cakes. How much flour do you need for 30 cakes?

Mathematics
1 answer:
Nutka1998 [239]3 years ago
7 0
You need 375g for 30 cakes.


150g/12 = 12.5g

12.5g x 30 = 375g
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Trigonometry questions
trasher [3.6K]

We'll use standard labeling of right triangle ABC, C=90 degrees, legs a, b, hypotenuse c.

11.

Right triangle, cliff peak A, boat B, angle opposite cliff is B=28.9 deg. adjacent leg a=65.7 m, cliff height is leg b.

tan B = b/a

b = a tan B = 65.7 tan 28.9° = 36.3 m

12.

Similar story, boat at B, opposite b=3.5 m, rope c=12 m

sin B = b/c

B = arcsin b/c = arcsin (3.5/12) = 17.0°

13.

c=124 m, A=58°

sin A = a/c

a = c sin A = 124 sin 58 = 105.2 m

14.

That's a hypotenuse c=4-1.2 = 2.8 m to a height b=1.8m so

cos A = b/c

A = arccos b/c = arccos (1.8/2.8) = 50.0°

15.

Not a right triangle, an isosceles triangle.  Half of it is a right triangle with hypotenuse one arm, c=9.8 cm and angle opposite half the base of B=62/2=31°.  We're after d=2b:

sin B = b/c

b = c sin B

d = 2b = 2 c sin B = 2(9.8) sin 31 = 10.1 cm

Almost equilateral


4 0
4 years ago
If you invest $20,000 in a mutual fund averaging 10% compounded monthly, how long will it take to reach $1 million?
antoniya [11.8K]

Answer:

hutghighriughriughriughrihgrighrighirhgrhrgurhuihghruhgiurhirhiughriughriughurhurhugi

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Jillian’s school is selling tickets for a play. The tickets cost $10.50 for adults and $3.75 for students. The ticket sales for
nevsk [136]

Answer:168

Step-by-step explanation:   First you do 82 times 3.75 which is 307.50. Then you do 2071.5 - 307.5 = 1764 Then you do 1764 divided by 10.50 which is 168

9 0
3 years ago
Read 2 more answers
Zamira and Courtney share a 16 oz box of cereal. By the end of the week, Zamira has eaten 38 of the box, and Courtney has eaten
12345 [234]

Answer:

12/25 ths of the box is left.

Step-by-step explanation:

I'm assuming you mean 14% and 38%

If so then the first thing you'd do is put 38 and fourteen over 100 such as:

38/100 and 14/100.  You do that because since its a percentage, its the same as the number of that percentage over 100.

Since you now have like terms, you can add them together, in which you add the two numerators (top row), but leaving the denominator (bottom row) the same, and it would give you:

52/100

What you want to do after that is simplify it. Once you simplify it, the simplified version of this is technically still the same as the non-simplified version, just easier to use.

Once you simplify it once, you will get:

26/50 and then if you simplify it again, you'll get 13/25

KEEP IN MIND that this is the amount that HAS BEEN EATEN ALREADY.

After that, you wan to subtract your part from your whole meaning you'd subtract: 25/25 - 13/25

Going back to earlier, you subtract the numerator and leave the denominator the same ONLY because they have like terms(The DENOMINATORS match)

After subtracting, you will get an answer of 12/25ths, which cannot be further simplified either.

Hope this helped!

4 0
3 years ago
What is m∠A ?<br> Please see attachment <br> (The Triangle Sum Theorem)
goblinko [34]
The triangle sum theorem says all 3 interior angles must equal 180 degrees.

so, 43 + 35 = 78.  [ 180 - 78 = 102 degrees for the missing angles shared by the 2 triangles.

102 + 18 = 120.  [180 - 120 = 60}

leaving the measure of Angle A as 60 degrees.
5 0
4 years ago
Read 2 more answers
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