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Sladkaya [172]
3 years ago
11

A triangle has angles measuring 15° and 45°. What is the measurement of the triangle’s third angle?

Mathematics
2 answers:
nexus9112 [7]3 years ago
6 0
First you need to know that the internal angles of a triangle always equals 180°. Therefore:

15+45= 90°

Then since the angles should equal 180, you do:

180-90=90

So the missing angle equals 90°
lara31 [8.8K]3 years ago
6 0

Answer:

120 degrees

Step-by-step explanation:

180-15-45=120

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2
faust18 [17]

Answer:

2 of the 3 answers in picture

Step-by-step explanation:

3 0
3 years ago
Charlie has the utility function u(xa, xb) =xaxb. If Charlie's income is $40, the price of apples is $4, and the price of banana
leonid [27]

Answer:

There are 5 apples in the best bundle Charlie can afford

Step-by-step explanation:

If the utility function is u(xa, xb) , where xa represent the quantity of apples and xb is the quantity of bananas then we want to choose the quantity of bananas and apples that maximises the utility of Charlie for the same budget restriction ( get the most benefit for the same money).

The budget restriction is

$4* xa + $2* xb = $40

then

u(xa, xb) =xa*xb

4*xa + 2*xb = 40  → xb = (40 - 4*xa)/2 = 20 - 2*xa

replacing in the utility function

u(xa, xb) =xa* (20 - 2*xa) = 20*xa - 2*xa²

the maximum of this function is obtained when the derivative of the utility function with respect to xa is 0 . Thus

du/dxa = 20 - 4*xa = 0 → xa = 20/4 = 5

then for

xa=5 apples

xb=20 - 2*xa = 20 - 2*5 = 10 bananas

Charlie maximises his utility  . Therefore there are 5 apples in the best bundle Charlie can afford

6 0
3 years ago
Which graph represents the function f (x) = StartFraction 5 minus 5 x squared Over x squared EndFraction? On a coordinate plane,
trapecia [35]

9514 1404 393

Answer:

2. On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrants 1 and 4, and the other curve opens up and to the left in quadrants 2 and 3

Step-by-step explanation:

Technically, the curve is not a hyperbola. A hyperbola is of the form 1/x; this one is of the form 1/x².

The function can be simplified to ...

  f(x) = 5/x² -5

which is a "hyperbola" with a vertical asymptote at x=0 and a vertical translation of -5 units to bring parts of it into the 3rd and 4th quadrants.

4 0
3 years ago
In 1983, a hardcover dictionary cost $145.75. If the CPI is currently 209, what would a hardcover dictionary cost today? Round t
anastassius [24]

Answer:

55

Step-by-step explanation:

6 0
2 years ago
Solve bġ using the Quadratic Formula: x^2 = 3x - 1
grigory [225]

Answer:

x_{1}=(3+\sqrt{5})/2

x_{2}=(3-\sqrt{5})/2

Step-by-step explanation:

x^2-3x+1=0

x_{1}=(3+\sqrt{3^2-4*1*1})/2=(3+\sqrt{5})/2

x_{2}=(3-\sqrt{3^2-4*1*1})/2=(3-\sqrt{5})/2

3 0
3 years ago
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