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3 years ago

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Grandma's cookie recipe calls for 2/3 cup of sugar, and her cake recipe reqires 3/4 cup of sugar. If she intends to make 2 batch

es of cookies and 3 cakes for a bake sale, how much sugar will she need?

1 answer:

nevsk [136]3 years ago

3 0

She will need 1 1/3 for the cookies. She will need 2 1/4 for the cakes. So she will need 3 1/2 cups of sugar

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If you answer I will mark you brainliast

dedylja [7]

Step-by-step explanation:

Refer Fig 1 as attached

1a. angle a = angle b = 25°

AM = 8 x cos 35° = 6.553

so AB = AM x 2 = 13.1

1b. Area of sector OAB / Area of the circle

= 130 / 360

Area of sector OAB = 8x8xpi x 130/360

= 23pi

1c. Area OAB = 2 X ( AM x OM) /2 = AM x OM

OM = AM x tan (angle a) = 13.1 x tan 25°

= 6.109

so Area OAB = 6.553 x 6.109 = 40.03

1d. Area of the minor segment

= Area of sector OAB - Area of triangle OAB

= 23pi - 40.03

= 32.23

2, 3 Please refering the approach as above to find the answers

4. Refer Fig 2 as attached

a = 3

the cord is 3 cm from the centre

5. Repeat the approach of 4 above please.

7 0

3 years ago

Find the volume of a square based pyramid like you see below if the side of the base is 10 inches and the height of the the tria

Mekhanik [1.2K]

Answer:

The volume of a square based pyramid is <u>645.3 cubic inches</u>.

Step-by-step explanation:

Given:

The side of the base is 10 inches and the height of the the triangular face is 20 inches.

Now, to find the volume of square based pyramid.

Base side (a) = 10 inches.

Slant Height (s) = 20 inches.

Now, to get the height of pyramid by using pythagorean theorem:

Leg 1 = $\frac{base}{2}=\frac{10}{2}=5\ inches.$

Hypotenuse = 20 inches.

So,

Hypotenuse² = (leg 1)² + (leg 2)²

$20^2=5^2+leg2^2\\400=25+leg2^2\\Subtracting\ both\ sides\ by\ 25 \ we\ get:\\375=leg2^2$

<em>Using square root on both sides we get:</em>

<em /> $19.36=leg2$ <em />

<em>leg 2 = 19.36 inches.</em>

Thus, the height of pyramid = 19.36 inches.

Now, to get the volume of square pyramid we put formula:

h = 19.36 inches.

a = 10 inches.

$Volume=a^2\frac{h}{3}$

$Volume=10^2\times \frac{19.36}{3}$

$Volume=100\times 6.453$

$Volume=645.3\ cubic\ inches.$

<u><em>Hence, the volume to the nearest tenth is 645.3 cubic inches.</em></u>

Therefore, the volume of a square based pyramid is 645.3 cubic inches.

3 0

3 years ago

Help ASAP ❤️❤️❤️!!!!!!!!!

AleksAgata [21]

Answer:

True

Step-by-step explanation:

Volume is calculated by length x width x height, so you just multiply the values. 6 x 7 x 9 = 378 cm^3.

8 0

3 years ago

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Helpppp...Round to the nearest hundredth

love history [14]

Answer:

37.68

Step-by-step explanation:

volume= πr²h/3

= 3.14x3²x4/3

=3.14x3x4

= 3.14x12

=37.68

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3 years ago

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Draw a line connecting each circle to the appropriate radius, diameter, and circumcerences.

Keith_Richards [23]

Answer:

Hope this helps

3 0

3 years ago