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2 years ago

Yummy cinnamon! It smells so nice! Mr. Liz needs 5 %2 teaspoons of cinnamon to make one

Mathematics

1 answer:

dusya [7]2 years ago

5 0

Answer:

Step-by-step explanation:

2 loaves × (5½ teaspoons)/loaf = 11 teaspoons

He needs 11 teaspoons of cinnamon to make two loaves.

1/11 of 11 teaspoons = 1 teaspoon

He puts 1 teaspoon of cinnamon into his tea.

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Verify the identity. Show your work. (1 + tan^2u)(1 - sin^2u) = 1

yuradex [85]

$\bf \textit{Pythagorean Identities}
\\\\
sin^2(\theta)+cos^2(\theta)=1\implies cos^2(\theta)=1-sin^2(\theta)
\\\\ 1+tan^2(\theta)=sec^2(\theta)\\\\
-------------------------------\\\\\
[1+tan^2(u)][1-sin^2(u)]=1
\\\\\\\
[sec^2(u)][cos^2(u)]\implies \cfrac{1}{cos^2(u)}\cdot cos^2(u)\implies \cfrac{cos^2(u)}{cos^2(u)}\implies 1$

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3 years ago

If m= 8, then evaluate 2(m+3)/11

Ymorist [56]

Answer:

Step-by-step explanation:

Substitute m=8 into the equation

Firstly deal with the bracket

then multiplication

then division

2(11)/11

8 0

2 years ago

Read 2 more answers

A woman walks due west on the deck of a ship at 3 mi/h. The ship is moving north at a speed of 22 mi/h. Find the speed and direc

Minchanka [31]

Answer: The speed is 22.2 mi/hr and woman is 8° north relative to the surface of the water.

Step-by-step explanation:

Since we have given that

Speed at which woman walks due west = 3 mi/hr

Speed at which ship moving due north = 22 mi/hr

Now it forms "Pythagorus theorem":

So, it becomes,

$H^2=B^2+P^2\\\\H^2=3^2+22^2\\\\H^2=9+484\\\\H^2=493\\\\H=\sqrt{493}\\H=22.20\ mi/hr$

And the direction of the woman relative to the surface of the water is given by

$\theta=\sin^{-1}x(\dfrac{3}{22.2})=7.76\approx 8^\circ$

Hence, the speed is 22.2 mi/hr and woman is 8° north relative to the surface of the water.

5 0

3 years ago

Miguel glues a ribbon border around the edges of a 5 - inch by 8 - inch picture to create a frame. What is the total length of r

Marat540 [252]

26 inches. Technically, since this is a perimeter problem, you need to add each length to itself and then the others. If this is confusing, you essentially need to do 5+5+8+8=26 because you have two of the fives and two eights. Perimeter is much easier than area, I promise you that

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3 years ago

Someone please help me with this ? Explain and give steps

Drupady [299]

Its an isosceles triangle

angle B = 47

and triangleADB is congruent to triangle ADC

from here we can say that BD = DC

now AD is a median and also altitude

so from here we can say angle x = 90

now in triangle ADB

90+47+y=180(ANGLE SUM PROPERTY )

y= 43

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3 years ago