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Naily [24]
3 years ago
10

Kendra made $45 mowing grass for her neighbors. She owes her mother 35. How much money will she have left after she pays back he

r mother write the addition problem and solve
Mathematics
1 answer:
Naya [18.7K]3 years ago
5 0
X= money left

35+x= 45

45-35= 10

Kendra will have $10 left.

Hopefully, this helps!
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Use the given information to find the exact value of the trigonometric function
eimsori [14]
\begin{gathered} \csc \theta=-\frac{6}{5} \\ \tan \theta>0 \\ \cos \frac{\theta}{2}=\text{?} \end{gathered}

Half Angle Formula

\cos \frac{\theta}{2}=\pm\sqrt[\square]{\frac{1+\cos\theta}{2}}\tan \theta>0\text{ and csc}\theta\text{ is negative in the third quadrant}\begin{gathered} \csc \theta=-\frac{6}{5}=\frac{r}{y} \\ x^2+y^2=r^2 \\ x=\pm\sqrt[\square]{r^2-y^2} \\ x=\pm\sqrt[\square]{6^2-(-5)^2} \\ x=\pm\sqrt[\square]{36-25} \\ x=\pm\sqrt[\square]{11} \\ \text{x is negative since the angle is on the 3rd quadrant} \end{gathered}\begin{gathered} \cos \theta=\frac{x}{r}=\frac{-\sqrt[\square]{11}}{6} \\ \cos \frac{\theta}{2}=\pm\sqrt[\square]{\frac{1+\cos\theta}{2}} \\ \cos \frac{\theta}{2}is\text{ also negative in the 3rd quadrant} \\ \cos \frac{\theta}{2}=-\sqrt[\square]{\frac{1+\frac{-\sqrt[\square]{11}}{6}}{2}} \\ \cos \frac{\theta}{2}=-\sqrt[\square]{\frac{\frac{6-\sqrt[\square]{11}}{6}}{2}} \\ \cos \frac{\theta}{2}=-\sqrt[\square]{\frac{6-\sqrt[\square]{11}}{12}} \\  \\  \end{gathered}

Answer:

\cos \frac{\theta}{2}=-\sqrt[\square]{\frac{6-\sqrt[\square]{11}}{12}}

Checking:

\begin{gathered} \frac{\theta}{2}=\cos ^{-1}(-\sqrt[\square]{\frac{6-\sqrt[\square]{11}}{12}}) \\ \frac{\theta}{2}=118.22^{\circ} \\ \theta=236.44^{\circ}\text{  (3rd quadrant)} \end{gathered}

Also,

\csc \theta=\frac{1}{\sin\theta}=\frac{1}{\sin (236.44)}=-\frac{6}{5}\text{ QED}

The answer is none of the choices

7 0
11 months ago
What is the middle term of the production of (x-4)(x-3)
Zinaida [17]

See picture for solution to your problem.

5 0
3 years ago
Help please<br> what is<br>​
dsp73

Option A. is correct for the given condition.

Lets solve it through steps of range and functions,

First of all, Solve the equation:
f(x) = |x|+5
= > x = -5 (1)

= > x = 5 (2)

So these would be the ranges of X in between 5 and -5.

Hence option A. R{f(x)eR  [f(x) < 5} is correct.

Learn more about range and functions on:

https://brainly.ph/question/10400053

#SPJ10

3 0
2 years ago
PLEASEE HELPP!! (how many woman were in the theater before these three walked in?)
Sladkaya [172]

Answer:

2

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
What is the area of △ABC?
kirza4 [7]
Answer:
Area = 492.4 m²

Explanation:
The area of the triangle can be calculated using the side-angle-side method as follows:
Area = 0.5 * first side * second side * sin(angle included between these two sides)

This rule is illustrated in the attached image.

Now, we have:
AB = 40 m
BC = 25 m
angle B which is the angle included between AB and BC = 80 degrees

The given angle is included between the two given sides, therefore, we can apply the above rule to get the area.
Area of triangle = 0.5*40*25*sin(80)
Area of triangle = 492.4 m²

Hope this helps :)

3 0
3 years ago
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