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USPshnik [31]
3 years ago
15

A chef has 1/2 a pound of flour to divide equally into two containers. How much flour will be in each container?

Mathematics
1 answer:
docker41 [41]3 years ago
6 0

Answer:

1/4

Step-by-step explanation:

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What is the sum of the first five terms of a geometric series with a1 = 6 and r = 1/3?
tresset_1 [31]
The sum of the terms of a geometric sequence with common ratio lesser than 1 is calculated through the equation,

                                  Sn = (a1) x (1 - r^n) / (1 - r)
Substituting the known values,
                                 S5 = (6) x (1 - (1/3)^5) / (1 - 1/3) = 242/27
Thus, the sum of the first five terms is approximately equal to 8.96. 

6 0
3 years ago
Read 2 more answers
Solve the triangle, AMDM
krok68 [10]

Answer:

B

Step-by-step explanation:

You are given two sides and the included angle, so you need to use the law of cosines.

c² = a² + b² - 2ab cos C

c² = 12² + 13² - 2(12)(13)cos 134°

c² = 313 - 312(-0.6947)

c² = 529.733

c = 23.016

Now use the law of sines.

c/sin C = a/sin A

23.016/sin 134° = 12/sin A

sin A = 12 × sin 134° / 23.016

sin A = 0.37504

A = 22.03°

B = 180° - 134° - 22.03°

B = 23.97°

m<A = 22°; m<B = 24°; c = 23 km

Answer: B

6 0
2 years ago
Find the surface area of the figure?
motikmotik

Step-by-step explanation:

the surface area consists of 6 individual areas :

front and back (both are equal)

left and right (both are equal)

top and bottom

front and back are trapezoids.

the area of a trapezoid is

(base 1 + base 2)/2 × h

the bases are the 2 parallel sides.

in our case the area of one trapezoid is

(5 + 19)/2 × 12.1 = 145.2 ft²

front and back together then are 290.4 ft².

left and right are 8×14 rectangles:

8×14 = 112 ft²

together they are 224 ft².

the bottom is a 5×8 rectangle :

5×8 = 40 ft²

the top is a 19×8 rectangle :

19×8 = 152 ft²

so, the total surface area is

290.4 + 224 + 40 + 152 = 706.4 ft²

4 0
2 years ago
Ray PT is the angle bisector of angle RPS. Find the measure of angle RPS.
nikdorinn [45]

Answer:

m∠RPS = 38°.

Step-by-step explanation:

It is given that ray PT is the angle bisector of angle RPS. It means PT divides the angle RPS in two equal parts.

m\angle RPT=m\angle TPS=19^{\circ}

Now, it is clear that

m\angle RPS=m\angle RPT+m\angle TPS

m\angle RPS=19^{\circ}+19^{\circ}

m\angle RPS=38^{\circ}

Therefore, the measure of angle RPS is 38°.

3 0
3 years ago
PLEASE HELP! I REALLY NEED HELP WITH THIS!!!
Papessa [141]
-19w-3

Step by Step:
Difference means subtraction so:

-14w-3-5w

-19w-3

If this helps, could you mark me brainliest please?
3 0
3 years ago
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