All categories

3 years ago

Please help me with this, I need to find the missing angle of both of the triangles. Thank you. :))

Mathematics

1 answer:

Arte-miy333 [17]3 years ago

5 0

The missing side of ABC = 13
The missing side of FDE = 24

Pythagorean Theorem: a² + b² = c²

Pythagorean Theorem is for right-angled triangle only.

The missing side of ABC is:
12² + 5² = AC²

169 = AC²

AC = √169

AC = 13

The missing side of FDE is:
DE² + 10² = 26²

DE² = 26² - 10²

DE² = 576

DE = √576

DE = 24

You might be interested in

For any. Vertical intercept the _______ coordinate is zero

Nonamiya [84]

The X coordinate has to be 0

8 0

3 years ago

A lake near the Arctic Circle is covered by a 222-meter-thick sheet of ice during the cold winter months. When spring arrives, t

STatiana [176]

Answer:

S(t) = 2 - 0.25*t

Step-by-step explanation:

A lake near the Arctic Circle is covered by a 2-meter-thick sheet of ice during the cold winter months.

When spring arrives, the warm air gradually melts the ice, causing its thickness to decrease at a constant rate.

S(t) denote the ice sheet's thickness S ( measured in meters) as a function of time (measured in weeks).

Therefore the equation formed will be linear.

The equation will be of the form y = mx + b

Here S(t) = mt + b

Here m is the slope which is the rate at which ice is melting.

Putting t = 0

S(t) = 2

Putting t = 3,

S(t) = 1.25

Therefore, m*0 + b = 2 or, b = 2

and 3m + b = 1.25

or, 3m = 1.25 - 2 = -0.75

or, t = -0.25

Hence, function's formula = S(t) = -0.25*t + 2

i.e. S(t) = 2 - 0.25*t

5 0

3 years ago

If a scale factor of four is used, the points in the image will be eight times as far from the origin as the pre-image points.

USPshnik [31]

This answer is FALSE ;))

3 0

3 years ago

A 10-pound block of ice melts at a rate of 3% per hour. Find the weight of the block of ice after 1 day.

mylen [45]

Answer:

The weight of the block of ice after 1 day is of 4.81 pounds.

Step-by-step explanation:

Equation for exponential decay:

The equation that models an amount after t hours, subject to exponential decay, is given by:

$A(t) = A(0)(1 - r)^t$

In which A(0) is the initial amount and r is the decay rate, as a decimal.

A 10-pound block of ice melts at a rate of 3% per hour.

This means that $A(0) = 10, r = 0.03$

$A(t) = A(0)(1 - r)^t$

$A(t) = 10(1 - 0.03)^t$

$A(t) = 10(0.97)^t$

Find the weight of the block of ice after 1 day.

One day has 24 hours, so this is A(24).

$A(24) = 10(0.97)^{24} = 4.81$

The weight of the block of ice after 1 day is of 4.81 pounds.

6 0

3 years ago

Which is the correct form

lesya [120]

Answer:

Step-by-step explanation:

8 0

3 years ago