I cannot necessarily "make" a triangle, but I do know that the dimensions or measurements of the triangle would be:
area = 36 units
base = 9 units
height = 8 units
A bank loaned out $19,000, part of it at the rate of 7% per year and the rest at 15% per year. If the interest received i. 1 year totaled $2000, how much was loaned at 7%
Answer:
$28571.43 was loaned out.
Step-by-step explanation:
2000 x 100 / 7=28571.43
Answer:
$28571.43 was loaned.
this is because
2000 x 100 / 7
=28571.43
Mr. Kramer bought his daughter a kitten for her birthday, so now he needs to buy cat food. First, he gets a 20-pound bag of dry cat food. Then, he finds a good deal on 3-ounce cans of wet cat food, so he buys 48 of them. How many pounds of cat food does Mr. Kramer get in all?
Answer: 29 lbs
Step-by-step explanation: If you do 48 times 3 you will get 144 and if you do 144 divided by 16 you will get 9 and if you do 9 plus 20 you will get 29 lbs in total.
The required pounds of cat food Mr. Kramer get in all is 9.
given that,
First, he gets a 20-pound bag of dry cat food.
Then, he finds a good deal on 3-ounce cans of wet cat food,
so he buys 48 of them.
It is to determine how many pounds of cat food Mr. Kramer get in all.
In mathematics, it deals with numbers of operations according to the statements.
In a can, there are 3 ounces of wet cat food.
1 can = 3 ounce
multiplying both sides by 48
48 can = 3 * 48 ounce
48 can = 144 ounce
1 pound = 16 ounce
1/16 pound = 1 ounce
multiplying both sides by 144 on both sides
144 / 16 pound = 144 ounce
9 pound = 144 ounce
Thus, the required pounds of cat food Mr. Kramer gets in all is 9.
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According to Newton's Second Law, if force equals 17 N and acceleration equals 8 m/s2, what is the mass in kilograms?
Answer as a number, rounded to the nearest thousandth?
Answer:
2.13kg
Step-by-step explanation:
fnet=ma
17=m(8)
17÷8 =m
2.13=m
Answer:
The mass is 2¹/₈, or 2.125, kg
Step-by-step explanation:
We know that force is equal to mass times acceleration, so given a force of 17 newtons and an acceleration of 8m/s², we can say:
[tex]f = ma\\m = f/a\\m = \frac{17\ N}{8\ m/s^2}\\m = \frac{17\ kg\times m/s^2}{8\ m/s^2}\\m = 17/8\ kg\\m = 2.125 kg[/tex]
giving us a mass of 2¹/₈, or 2.125 kg.
Show that 2/4-x = 10/4+x
is equivalent to 12x = 32 for all values of x not equal to 4 or -4
Answer:
See proof below
Step-by-step explanation:
Given the expression 2/4-x = 10/4+x
Cross multiply
10(4-x) = 2(4+x)
10(4) - 10x = 2(4)+ 2x
40 - 10x = 8 + 2x
-10x - 2x = 8 - 40
-12x = -32
Multiply both sides by -1
-1(-12x) = -1(-32)
12x = 32
This shows the required expression
Given sin^2 x = (1 - cos(2x))/2 Prove: sin(x/2) = plus/minus sqrt((1 - cos(x))/2) Prove Complete the steps of the proof
Answer:
1. half angle
2. x
Step-by-step explanation:
The missing parts of the proof is the variable x.
What are Trigonometric Functions?Trigonometric functions are those functions which are the ratio of the sides of a right angled triangle.
Given,
sin² (x) = [1 - cos (2x)] / 2
We have to prove sin ([tex]\frac{x}{2}[/tex]) = ± [tex]\sqrt{\frac{1-cos (x)}{2} }[/tex]
First, we have
sin² (x) = [1 - cos (2x)] / 2
Substituting x/2 in place of x, we get,
sin² (x/2) = [1 - cos (2x/2)] / 2
sin² (x/2) = [1 - cos (x)] / 2
sin² ([tex]\frac{x}{2}[/tex]) = [tex]{\frac{1-cos (x)}{2} }[/tex]
Taking square root on both sides,
sin ([tex]\frac{x}{2}[/tex]) = ± [tex]\sqrt{\frac{1-cos (x)}{2} }[/tex]
Hence it is proved.
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Mr. Tough can grade the final exams in 12 hours. His assistant, Ms. Nice, can grade the same exams in 15 hours. What fraction of the exams can Mr. Tough grade in 1 hour, without any help? This is impossible. Please help me. I spent sooo loong on this and got it wrong. I don't have many points. Sorry about the 20 points. IT IS VERY URGENT!!!!!!!!!!!!!!!!!
Answer:
1/12
Step-by-step explanation:
if Mr.Tough can grade 1 in 12 hours he can do 1/12
The fraction of the exams that Mr Tough and Mrs Nice grade in 1 hour if they work together is 3/20
What are fractions?A fraction is used to denote a portion or component of a whole. Numerator and denominator are the two components that make up a fraction. There are three types of fractions: proper, incorrect, and mixed.
Using, rate × time = work done
So, Mr Tough's rate:
Mr Tough's rate × 12 hours = final exam
Mr Tough's rate = 1/12
and, Mrs. Nice's' rate:
Mrs .Nice's' rate × 15 hours = final exam
Mrs .Nice's' rate = 1/15
So, Total time:
T(1/12 hours + 1/15 hours) = final exam
T = final exam / (1/12 + 1/15)
T = final exam / (0.15)
Now, 1 hour = final exam / (0.15)
final exam = 1 × 0.15
= 0.15
= 15/ 100
= 3/20
Therefore, 3/20 fraction of the final exam.
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Deduce the minimum value of sinx+cosx and give the corresponding values of x, for x E [-360;360]
The minimum value of both sine and cosine is -1. However the angles that produce the minimum values are different, [tex]-\pi/2, \pi[/tex] for sine and cosine respectively.
The question is, can we find an angle for which the sum of sine and cosine of such angle is less than the sum of values at any other angle.
Here is a procedure, first take a derivative
[tex]\frac{d}{dx}(\sin x+\cos x)=\cos x -\sin x[/tex]
Then compute critical points of a derivative
[tex]\cos x-\sin x=0\implies x_1=\frac{\pi}{4},x_2=\frac{5\pi}{4}[/tex].
Then evaluate [tex]\sin x +\cos x[/tex] at [tex]x_1,x_2[/tex].
You will obtain global maxima and global minima [tex]\sqrt{2}, -\sqrt{2}[/tex] respectively.
The answer is [tex]-\sqrt{2}[/tex].
Hope this helps.
Christina built a small hot air balloon and recorded the distance it traveler (v) during the first 4 seconds after starting (s)
Which of the following equations representd the relationship between the distance traveled and the elpsed time?
A: v=1.2s
B: s=1.2v
C:v=1.2+s
D:s=1.2+v
Table is attatched
Answer "v = 1.2s"
Step-by-step explanation: because 1.2 is 1*1.2, 2.4 is 2*1.2 and so on..
First to answer get brainliest.
If the equation given to you as a reference is, p = x - 3 + (14*29), and x is 7, then what is p? I made it fairly easy so don't disappoint me.
Answer:
see explanation
Step-by-step explanation:
p = x - 3 + (14*29)
substitute 7 for x
p=7-3+(14*29)
p=410
1. Find the slope of the line in the graph
Help please?? Thank you
Answer:
Isosceles right
Step-by-step explanation:
And isosceles triangle has 2 congruent sides, and since 90° is a right angles, it is a right triangle.
Answer:
isosceles acute I believe, since the two even sides are acute angles, however it could also be right since the top angle is a right angle and therefore the other two equal a right angle sorry if this didn't come in very useful
Find a number so that 93.4% of it is 107.
Answer:
~114.56
Step-by-step explanation:
Because you're asked to find the number so that x% is y, we will have to find that number. The equation in that case would be NUM * 0.934 = 107. Divide both sides by .934 to get an answer of approximately 114.56.
The net of a triangular prism is shown.
14 cm
5 cm
5 cm
6 cm
3 cm
What is the surface area of the prism?
O A. 46 cm
OD. 72 cm
O B. 54 cm
O E. 96 cm
OC. 69 cm
PLEASE HELP
A family originally bought a home for $712,980. Now, a few years later, the home is
worth $1,180,627.70. What was the percent of increase in its value? (Round your answer to
the nearest whole number.)
Answer:
86
Step-by-step explanation:
James m
Lou 2 m
Rob 3 m
Teri 4 m
Shawn 4 m
Skip 3 m
Art 2 m
Jim m
Eight students in a small class made the test scores shown in the table. What was the mean absolute deviation for the class?
A) m
B) 2.5m
C) 4m
D) 8m
Answer:
A) = m
Step-by-step explanation:
Which point is on the graph of y = 4x + 2? A (-2, -5 o B. (-4, -15) C. (4. 18) D. (0.1)
Answer:
The answer should be C
Step-by-step explanation:
I hope that helps you!
HELP ASAP
The radius of a quarter circle is 1.4 millimeters. What is the quarter circle's area?
Answer:
A = 1.5386
Step-by-step explanation:
Quarter circle area formula:
A = (πr²)/4
A= (π1.4²)/4
A = (3.14*1.96)/4
A = (6.1544)/4
A = 1.5386
At a school, 40% of the sixth-grade students said that hip-hop is their favorite kind of music. If 68 sixth-grade students prefer hip hop music, how many sixth-grade students are at the school?
Answer:
170
Step-by-step explanation:
What is the ratio as a fraction 9 and 6
Answer:
9/15 will become 3/5 and 6/15 will become 2/5.
Select the statement that describes this expression: fraction 1 over 2 x (734 − 246).
A) Half the sum of 734 and 246
B) fraction 1 over 2 the difference between 734 and 246
C) fraction 1 over 2 the quotient of 734 and 246
D) 2 times the difference between 734 and 246
The statement to represent the expression is fraction 1 over 2 the difference between 734 and 246. Therefore, option B is the correct answer.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
The given expression is 1/2 ×(734-246)
= 1/2 ×488
= 244
Therefore, option B is the correct answer.
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A quarter falls off a building that is 144
feet tall. If the equation for height as a
function of time is
h(t) = -16t2 + initial height where t is
time in seconds and h(t) is height in
feet, how many seconds will it take for
the quarter to hit the ground?
Answer:
3 seconds
Step-by-step explanation:
Initial height = 144 feet
t = Time taken
The equation of the height from the ground is
[tex]h(t)=-16t^2+\text{Initial height}[/tex]
The time taken to reach the ground is needed. Here the ground is taken as reference so [tex]h(t)=0[/tex]
[tex]0=-16t^2+144\\\Rightarrow -144=-16t^2\\\Rightarrow t=\sqrt{\dfrac{144}{16}}\\\Rightarrow t=3\ \text{s}[/tex]
So, time taken by the quarter to reach the ground is 3 seconds.
What is the geometric mean of 32 and 45? Round your answer to the nearest tenths place.
can anyone help me pls? i will give brainliest :)
whats the answer a b c and d?
Answer:
VC & WC
Step-by-step explanation:
It's going to be the sides opposite the equal angles.
Plz help iff correct ill give Brainlyest
[tex]x-5\leq 12[/tex]
You add 5 to each side
[tex]x\leq 17[/tex]
This inequality will be correct if x is less than or equal to 17. Meaning any number less than 17 and including 17 will make the equation correct. For this reason you pick the one with a filled circle. The answer is H
If you roll a 6 sided die 12 times what is the best prediction possible for the number of times you will roll a four Hint: Use proportional reasoning
Answer:
the probability would be a 1/3 or a 1/6 chance i think
11 dived by 2=
Long divination pls help
Answer:
11/2 is 5 1/2 this is which is 5 remainer 1 if you are a lower grade. If not then the complete form is 5.5
Step-by-step explanation:
PLZ HELP I GIVE BRAINLIEST!!!
Answer:
800 × ( 3.87÷ 100 ) × 1
= 30.96
What is the probability that a six sided dice rolls on the four and the card is a heart
Answer:
4/6
Step-by-step explanation:
the total time the dice roll over four.. which is also 4/6
-3 > t+5/-1
can someone plz solve this inequality