Answer: 280 minutes
Step-by-step explanation:
Given
Expression is [tex]7\times (15+25)[/tex]
Apply distributive law i.e.
[tex]a(b+c)=a\cdot b+a\cdot c[/tex]
[tex]\Rightarrow 7(15+25)=7\cdot 15+7\cdot 25\\\Rightarrow 7(15+25)=105+175=280[/tex]
Thus, theo dog took 280 minutes each week
what is the area of the quadrilateral?
Answer:
A = 16 m²Step-by-step explanation:
The area of the quadrilateral is a sum of areas of two triangles with base of 8 m and hight of 2 m.
A = 2×0.5×8×2 = 16 m²
Write the sentence as an equation.
35 is equal to 92 less than c
Group like terms.. I was confused and need help asap!
Find the y-intercept of the line on the graph
Given cot A = 5/6 and that angle A is in Quadrant I, find the exact value of csc A in
simplest radical form using a rational denominator.
The trigonometric function gives the ratio of different sides of a right-angle triangle. The value of Cosec A is (√61)/(6).
What are Trigonometric functions?The trigonometric function gives the ratio of different sides of a right-angle triangle.
[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\[/tex]
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.
The Cot is the ratio of the base of the triangle to the perpendicular side of the triangle, therefore, we can write,
Cot A = Base/Perpendicular = 5/6
Thus, the base of the triangle is 5 units, while the length of the perpendicular of the triangle is 6 units. Now the length of the hypotenuse side of the triangle is,
H² = 5² + 6²
H² = 25 + 36
H = √61
Now, the value of Cosec A can be written as,
Cosec A = Hypotenuse/Perpendicular = (√61) / (6)
Hence, the value of Cosec A is (√61)/(6).
Learn more about Trigonometric functions:
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Each day Gianna practices penalty kicks with her older brother as the goalie. Yesterday she made 18/24 of her penalty kicks. Today she plans on shooting 36 penalty kicks. How many penalty kicks would Gianna have to make to successfully shoot an equivalent fraction as yesterday?
Answer: 27
Step-by-step explanation:
Since we are informed that Gianna practices penalty kicks and that she made 18/24 of her penalty kicks yesterday, this will be converted to its simplest form which will be:
= 18/24 = 3/4 .
If she plans on shooting 36 penalty kicks, the number of penalty kicks that Gianna would have to make to successfully shoot an equivalent fraction as yesterday will be:
= 3/4 × 36
= 3 × 9
= 27 penalty kicks.
In figure find the value of x triangle PQR
20 POINTSSSS
Answer:
Divide
Step-by-step explanation:
SOMEONE PLEASE HELP I DONT HAVE MUCH TIME ILL MARK YOU BRAINLIST
7. The milligrams of aspirin in a person's body is given by the equation a = 500 - (3/4)
where t is the number of hours since the patient took the medicine.
b. In the equation, what does the 500 tell us about the situation?
c. In the equation, what does the tell us about the situation?
d. Graph the equation for values of t between 0 and 4.
Answer:
a. 281.25 grams
b. The 500 represent the original amount of aspirin.
c. 3/4 tells us what amount of the aspirin remains after every hour.
d's answer is in the picture. Just copy the line.
Step-by-step explanation:
A is the only part that needs any explanation.
Since the t represent hours, I'll subsititute t for 2.
500 * (3/4)²
3/4 squared is 9/16.
500 * 9/16
Multiply 500 by 9 to get 4500.
4500/16
Simplify 4500/16 to 1125/4 (4 is canceled out.)
1125/4
Divide 1125 by 4 to get 281.25
281.25
281.25 grams of aspirin will be in the patient body after two hours.
Please answer and show work thank you:)
Answer:
Just use the first one and you divide.
Step-by-step explanation:
An 18-foot ladder is leaning against the side of a building such that its base makes an angle of 65º with the ground. How far from the side of the building, b, should the base of the ladder be placed? Round to the nearest tenth of a foot.
Hello!
This problem is about relating trigonometric values to an unknown side.
We are given an angle side, and we can determine that another angle made would be a 90 degree angle.
Meaning we could solve for the third unknown angle by knowing that the interior angles of a triangle add up to 180 degrees.
[tex]65+90+x+180[/tex]
[tex]x=180-90-65[/tex]
[tex]x=25[/tex]
After knowing this, we could use the law of sines, which states that the ratio of a side and the sin of its opposite angle are equal to any other ratio.
[tex]\frac{16}{sin(90)}=\frac{b}{sin(25)}[/tex]
[tex]b=16sin(25)[/tex]
Make sure to be in degrees when putting this in a calculator.
[tex]b=6.8[/tex]
Hope this helps!
PLEASEE HELP MEEE I DONT UNDERSTAND IT
You have read 25 pages of a book. You plan to read an additional 10 pages each night. Write the explicit formula to represent the number of pages you will read after n nights.
Answer:
p=10n+25
Step-by-step explanation:
Let's have p represent the number of pages you will read. If you read 10 pages per night, then you are multiplying 10 by the number of nights, which gives you 10n. Because you have already read 25 pages, you want to add to the 10n to give you the equation of p=10n+25
Answer:
Pages= 25 + 10n
Step-by-step explanation:
Since the starting point is 25, that remains constant. 10n represents 10 pages per night.
. Write an equation in slope-intercept form that shows the cost y for flowers for x number
of arrangements.
ok
Answer:
He placed his most loyal subjects in government jobs. He developed civil service exams to reduce corruption. He enforced strict rules for workers to ensure job effectiveness.
Answer:
ahh
Step-by-step explanation:
Need help with this math problem.
I forget all my vocabulary so hopefully someone else can correct me if the words I use aren't correct. But the following is definitely a function. "Although two x values correspond to a singular y value, the function passes a vertical line test. Meaning that it is ok to have values of x that equal the same y values, however two values of y assigned to the same x value would make the function undefined."
Hope this helps! The only vocabulary in this that you would really need is "corresponding," and (if you learned about it, you may not have yet) "vertical line test"
Can you guys help me........plz
Answer:
1
Step-by-step explanation:
Because of probability
if my class starts at 11:45 am and ends at 1:15 pm but I leave early at 12:30 pm how much time have I spent in class?
Answer:
45 minutes
Step-by-step explanation:
you can disregard the 1:15 pm time
Answer:
45 minutes.
Step-by-step explanation:
You can ignore the 1:15 pm, as it's not relevant to the question of how much time you have spent in class.
11:45am to 12:30pm
Adding 15 minutes turns 11:45 am to 12:00 pm
Add another 30 minutes, it becomes 12:30 pm.
Calculate the sum of the minutes:
15+30 = 45 minutes.
1/2x+45 what is the answer to the problem
A TV that usually sells for $174.45 is on sale for 15% off. If sales tax on the TV is 8%, what is the price of the TV, including tax?
Answer:
$160.14
Step-by-step explanation:
15% of 174.45 = 26.16
174.45 - 26.16 = 148.28
8% of 148.28 = 11.86
148.28 + 11.86 = 160.14
help BRAINLES tysmm
Answer:
64 units^2
Step-by-step explanation:
A = 1/2*b*h
A = 1/2 * 16 * 8
A = 64
Answer:
64 units
Step-by-step explanation:
If f(x)=x2, which equation represents function g?
A. g(x)=1/3f(x)
B. g(x)=3f(x)
C. g(x)=f(1/3x)
D. g(x)=f(3x)
Rewrite the expression in the form a^n (a^2/3)^-1
Answer:
a(2+3) i thinkk :((
Step-by-step explanation:
someone please helppp
Answer:
7
Step-by-step explanation:
We know that alternate angles ( Z angles) are equal
So, the angle that is adjacent to (13x + 2) = (12x+3)
First, calculate the measure of the angle adjacent to (13x+2)
We know that the angles on a straight line add up to 180 degrees.
Therefore, the angle adjacent to (13x+2) = 180-(13x+2)
Simplify this to: 178-13x
So, now we have an equation
178 - 13x = 12x + 3
Rearrange to find the value of x
25x = 175
x = 7
Hope this helps.
A construction company spends w weeks extending an existing road. The existing road is 5 miles long. Each week the company completes 0.2 miles of the extension. Which equation models the total length (L) of the road?
A. L = 0.2w + 5
B. L = 0.2w - 5
C. w = 0.2L + 5
D. w = 0.2L - 5
Answer:
A. L=0.2w+5
Hope this helps!!! :)
A candy store makes chocolate bars in large quantities. To make this large amount, a chocolate
maker weighs 6 identical bricks of chocolate plus a 3 pound brick for a recipe that calls for 27
pounds of chocolate.
which expression is equivalent to 189 1/5 -(-22 2/5)-(-40 1/5),
Answer:
[tex]251 \frac{4}{5}[/tex] or [tex]\frac{1259}{5}[/tex]
help?!
???????????LK
Answer:
Equation: 65+1.50m=78.50
Solution to the equation= 9 minutes
Step-by-step explanation:
The parents have to give 65 dollars for their children to be under care till 6 o'clock. AFter 6 o'clock, they had to pay 1.50 dollars for one minute. This parent gives a total of 78.50 dollar for that day. So, the equation is :
65+1.50m=78.50
(btw, m stands for minutes)
So to solve the equation:
1.50m=13.50
m= 9
A rectangle has a width of (4g) and a length of (28 - 3). The perimeter of the rectangle is 54 units. What is the
value of g?
Answer:
Step-by-step explanation:
sorry do not .know
To find the value of g, we need to use the formula for the perimeter of a rectangle, which is:
P = 2(l + w)
where P is the perimeter, l is the length, and w is the width.
We are given that the width is 4g and the length is 28 - 3 = 25, so we can substitute these values into the formula:
54 = 2(25 + 4g)
Next, we can simplify the equation by first distributing the 2:
54 = 50 + 8g
Then, we can isolate g on one side of the equation by subtracting 50 from both sides:
4 = 8g
Finally, we can solve for g by dividing both sides by 8:
g = 4/8
Simplifying this expression gives us:
g = 1/2
Therefore, the value of g is 1/2.
Hope this helps <3
Please give me Brainliest :)
Please help me I really need help
Answer:
im not sure but i think its 0.25
Step-by-step explanation:
Find the gradient for y= 1/4x-2
Answer:
1/4
Step-by-step explanation:
comparing with y=mx+c
What is the solution of 3x + y = 9 and 3x - 5y = 15?
Answer:
(10/3, -1)
Step-by-step explanation:
So there are two different ways.
First you could address for y and fitting it into the number cruncher. one condition for y1 and another for y2. At that point go second follow and press 5 and afterward press enter multiple times to discover the convergence.
the subsequent path is to tackle by hand. I would recommend address the primary condition for y and attachment the condition tackled for y into the other condition. so y = - 3x + 9 and 3x-5y=15. At that point you could do 3x - 5(- 3x+9) = 15. At long last address for x and plug in x into the two conditions to check whether you get a similar y esteem.
The appropriate response ought to be (10/3, - 1)
Answer:
x = 3 1/3, x = -1.
Step-by-step explanation:
3x + y = 9
3x - 5y = 15
Subtract second equation from the first to eliminate the 3x :
3x - 3x + y - (-5y) = 9 - 15
6y = -6
y = -1.
Plug y = -1 in first equation:
3x + -1 = 9
3x = 10
x = 10/3 = 3 1/3.