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Vesnalui [34]
4 years ago
12

Solve the given triangle by finding the missing angle and the other side lengths.

Mathematics
1 answer:
Dahasolnce [82]4 years ago
8 0

Answer:

∠ABC= 22°

AB= 2.08 units (3 s.f.)

AC= 1.21 units (3 s.f.)

Step-by-step explanation:

Please see attached picture for full solution.

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Jane wishes to bake an apple pie for dessert. The baking instructions say that she should bake the pie in an oven at a constant
pychu [463]

Answer:

A=152

K= -Ln(0.5)/14

Step-by-step explanation:

You can obtain two equations with the given information:

T(14 minutes) = 114◦C

T(28 minutes)=152◦C

Therefore, you have to replace t=14, T=114 and t=28, T=152 in the given equation:

114=190-Ae^{-14k} (I) \\152=190-Ae^{-28k}(II)

Applying the following property of exponentials numbers in (II):

e^{a}.e^{b}=e^{a+b}

Therefore e^{-28k} can be written as e^{-14k}.e^{-14k}

152=190-Ae^{-14k}.e^{14k}

Replacing (I) in the previous equation:

152=190-76e^{-14k}

Solving for k:

Subtracting 190 both sides, dividing by -76:

0.5=e^{-14k}

Applying the base e logarithm both sides:

Ln(0.5)= -14k

Dividing by -14:

k= -Ln(0.5)/14

Replacing k in (I) and solving for A:

Ae^{-14(-Ln(0.5)/14)}=76\\Ae^{Ln(0.5)} =76\\A(0.5)=76

Dividing by 0.5

A=152

7 0
3 years ago
Suppose a can of paint has a diameter of 14 cm and a height of 16 cm. What is the volume of paint in the can? (to nearest whole
alukav5142 [94]
Divide 14 by 2 to get the radius and plug into formula.
pi 7^2 16
pi 49 16= pi784=2462.7
2463 cm3 is the answer 
5 0
3 years ago
I need help i will give brainiest question in screenshot
Thepotemich [5.8K]

Answer:

ok so first you have to know what a reflectiin along 180 is

) A point P(x,y)P(x,y) is rotated 180180 degrees about the origin, then reflected over the y-axis. What is the resulting image of PP?

My conjecture: (−x,y)(−x,y) but I don't quite agree with it graphically. I'm having trouble with what exactly a 180 degree rotation about the origin simply is.

2) A point P(x,y)P(x,y) is reflected over the y-axis and then rotated 180 degrees about the origin. What is the resulting image?

Is this the same thing as 1?

3) A point A(x,y)A(x,y) is reflected over the line y=xy=x and then reflected over the y-axis. What is the resulting image of A?

My conjecture: (−y,x)(−y,x)

4) A point A(x,y)A(x,y) is reflected over the lines y=−xy=−x and then reflected over the y-axis. What is the resulting image of A?

My conjecture: (y,−x)

ok you need to know what thouse meen

Step-by-step explanation:

)If P(x1,y1)P(x1,y1) is rotated angle ϕϕ about O(a,b)O(a,b) to P′(x′,y′)P′(x′,y′)

we have |OP|=|OP′||OP|=|OP′| and |arctanmOP−arctanmOP'|=ϕ|arctan⁡mOP−arctan⁡mOP'|=ϕ

By atan(z)(z) I imply atan2

(2)If P(x1,y1)P(x1,y1) is reflected over L:ax+by+c=0L:ax+by+c=0 and the resulting image of PP is Q(x2,y2)    (1)Q(x2,y2)    (1)

We have R

so i hope thiz helprs you

3 0
3 years ago
How many repeating digits are in 0.536<br><br> A. 1<br><br> B. 2<br><br> C. 3<br><br> D. 4
AURORKA [14]

Answer: there is 4 digits in the number 0.536

Step-by-step explanation: Remember that the zero counts as a number

5 0
3 years ago
Help.................??
Irina-Kira [14]
Distribute it out. you should end up with (y^2+7y) + (5y+35) add the 7y and the 5y to get 12y. you will have y^2+12y+35. tbh i have no idea what to do from there. its been so long since i have studied this
6 0
3 years ago
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