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faust18 [17]
3 years ago
14

Can someone help me

Mathematics
1 answer:
Alla [95]3 years ago
7 0

Answer:

the solution to: f(x)=g(x)

is X=4

Explanation:

f(x)=g(x) is X=4 because the curves of f(x) and g(x) intersect at a point which has the abscissa 4.

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Erica is participating in a road race. The first part of the race is on a 5.2-mile-long straight road-oriented at an angle of 25
kap26 [50]

Answer:

6.31 mi

Step-by-step explanation:

The diagram below explains the solution better.

From the diagram,

C = starting point of the race.

A = end of the first part of the race.

B = end of the race.

Using Cosine rule, we can find the straight-line distance between the starting point and the end of the race.

Cosine rule states that:

a^2 = b^2 + c^2 - 2bc[cos(A)]

where A = angle A = <A

Given that

b = 5.2 miles

c = 2.0 miles

<A = 115° (from the diagram)

Hence,

a^2 = 5.2^2 + 2.0^2 - 2*5.2*2.0[cos(115)]\\\\a^2 = 27.04 + 4 - 20.8[cos(115)]\\\\a^2 = 31.04 + 8.79\\\\a^2 = 39.83\\\\a = \sqrt{39.83}\\ \\a = 6.31 mi

The straight-line distance between the starting point and the end of the race is 6.31 mi

4 0
3 years ago
Can anyone explain step by step how to get this answer?<br><br><br> Will mark branliest!!
Y_Kistochka [10]

Answer:

Step-by-step explanation:

28°

4 0
3 years ago
Read 2 more answers
When the area in square units of an expanding circle is increasing twice as fast as its radius in linear units
alexira [117]

Answer:

r=1/π

Step-by-step explanation:

Area of the circle is defined as:

Area = πr²

Derivating both sides

\frac{dA}{dr}=2πr

\frac{dA}{dt}  =  \frac{dA}{dr} x \frac{dr}{dt}  =  2πr\frac{dr}{dt}

If area of an expanding circle is increasing twice as fast as its radius in linear units. then we have : \frac{dA}{dt}  =2\frac{dr}{dt}

Therefore,

2πr \frac{dr}{dt}  =  2  \frac{dr}{dt}

r=1/π

5 0
3 years ago
Read 2 more answers
Hayley has 272 beads.she buys 38 more beads. She will use 89 beads to make bracelets and the rest to make necklaces. She will us
STALIN [3.7K]
First, do 272 + 38 = 310
Secondly, do 310 - 89 = 231
Third, do 231 ÷ 9 = 25

The most number of beeds she can have is 25
5 0
3 years ago
Sam is saving for a guitar. He already has $50 saved and intends to save $30 each week. At week 12, how much money will Sam have
PolarNik [594]

Answer:

$50 + ($30 x 12) = $410

Step-by-step explanation:

8 0
3 years ago
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