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2 years ago

Suppose a triangle has two sides of length 3 and 4 and that the angle

Mathematics

2 answers:

rodikova [14]2 years ago

4 0

Answer:

Step-by-step explanation:

We can use the law of cosinse:

$c^{2}$ = $a^{2} + b^{2}$ − 2ab cos(C)

Suppose the two sides are a and b, and the angle betweent them is C.

$c^{2}$ = $3^{2} + 4^{2}$ − 2*3*4 cos(60)

We can simplify this to get $c^{2}$ =25-12=13

c= $\sqrt{13}$

Answer choice B

frozen [14]2 years ago

4 0

Answer:

Step-by-step explanation:

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1. Find the perimeter of the figure. Each unit is 1 centimeter

Oxana [17]

Answer:

Step-by-step explanation:

count the sides of the boxes for each side of the shape

8 0

3 years ago

Ally bought 5 different cakes for her birthday. His friends ate 3 1/4 of the amount of cake. Then he gave 1/2 of the cake to his

tamaranim1 [39]

Answer:

7/8 of a cake

Step-by-step explanation:

4 4/4 - 3 1/4 = 1 3/4

7/4 x 1/2 = 7/8

6 0

2 years ago

Carl bought 19 apples of 2 different varieties to make a pie.The total cost of the apple was $5.10.Granny Smith apples cost $0.2

disa [49]

For this case we propose a system of equations:

x: Let the variable representing the quantity of Granny Smith apples

y: Let the variable representing the number of Gala apples

According to the statement we have:

$x + y = 19\\0.25x + 0.30y = 5.10$

From the first equation we have to:

$x = 19-y$

replacing in the second equation:

$0.25 (19-y) + 0.30y = 5.10\\4.75-0.25y + 0.30y = 5.10\\4.75 + 0.05y = 5.10\\0.05y = 5.10-4.75\\0.05y = 0.35\\y = \frac {0.35} {0.05}\\y = 7$

So, Carl bought 7 Gala apples

On the other hand:

$x = 19-7 = 12$

So, Carl bought 12 Granny Smith apples

Answer:

Carl bought 7 Gala apples and 12 Granny Smith apples

8 0

3 years ago

The age of father is 4nyears.If the age of his daughter is(2n-9)years.find their total age.

8_murik_8 [283]

Answer:

4n+(2n-9)

4n+2n-9

6n-9 =the total age

6n=9

divide by 6 both sides.

n=9/6

n=1.5 years.

substitute the value of n in the age of the father and the daughter.

Age of father=4×1.5

6years.

Age of Daughter = (2×1.5)-9

3-9

=-6 years

Total age

6-6=0

4 0

2 years ago

(x+7)^2+(y+8)^2=64 center and radius

Pie

(-7,-8) is the center and 8 is the radius.

6 0

3 years ago

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