Answer:
[tex]\cos(\theta_1)=-\dfrac{\sqrt{15}}{4}[/tex]
Step-by-step explanation:
The angle [tex]\theta_1[/tex] is located in Quadrant II.
[tex]\sin(\theta_1)=\dfrac{1}{4}[/tex]
From trigonometry, we know that:
[tex]\sin(\theta)=\dfrac{Opposite}{Hypotenuse}\\$Therefore:\\Opposite=1\\Hypotenuse=4\\Using Pythagorean theorem:\\Hypotenuse^2=Opposite^2+Adjacent^2\\4^2=1^2+Adjacent^2\\Adjacent^2=16-1\\Adjacent^2=15\\Adjacent=\sqrt{15}[/tex]
Now, in Quadrant II,
The x-axis is negativeThe y-axis is positiveTherefore, the Adjacent angle to [tex]\theta_1 =-\sqrt{15}[/tex]
Therefore:
[tex]\cos(\theta_1)=\dfrac{Adjacent}{Hypotenuse}=\dfrac{-\sqrt{15}}{4}\\\\\cos(\theta_1)=-\dfrac{\sqrt{15}}{4}[/tex]
PLEASE HELP ME I NEED HELP ASAP!!!!!!
Jade earned a 7% commission on a $500 sale of a boat. How much was her commission?
A.$535
B.$500
C.$35
D.$50
Answer:
C.$35
Step-by-step explanation:
Commission = 7% of 500
= 0.07 * 500 = $35
Work out m and c for the line: y = 9 x − 4
Answer:
m = 9
c = -4
Step-by-step explanation:
The formula for a line is y = mx+c, where m is the gradient and c is the intercept.
here,
m = 9
c = -4
Hope this helps
good Luck
Answer:
Step-by-step explanation:
y = mx + c
y = 9x - 4
Slope m = 9
Y-intercept = -4
An acorn falls from the branch of a tree to the ground 25 feet below. The distance, S, that the acorn is from the ground as it falls is represented by the equation S(t) = –16t2 + 25, where t is the number of seconds. For which interval of time is the acorn moving through the air?
Answer:
0<t<5/4 or B
edge
The interval of time, the acorn moving through the air is t > 5/4.
What is a word problem?A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
An acorn falls from the branch of a tree to the ground below = 25 feet
The equation is [tex]S(t) = -16t^2 + 25[/tex], where t is the number of seconds and
S is the distance.
At t=0,
⇒ [tex]S(0) = -16(0)^2 + 25[/tex]
⇒ [tex]S(0) = 25[/tex]
Initially, the acron is at 25 feet above the ground level. So t > 0, for the acron to fly on air.
The interval can be found as,
⇒ [tex]-16t^2 + 25 > 0[/tex]
⇒ [tex]-16t^2 > -25[/tex]
⇒ [tex]t^2 > \frac{25}{16}[/tex]
⇒ [tex]t > \sqrt{\frac{25}{16} }[/tex]
⇒ [tex]t > \frac{5}{4} or \frac{-5}{4}[/tex]
since t > 0, the interval is [tex]t > \frac{5}{4}[/tex]
Hence we can conclude that the interval of time, the acorn moving through the air is t > 5/4.
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Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!!
Answer:A.
Step-by-step explanation:
Because 3 + 2 is 5.
1 punto
4. Los miembros de una
asociación de productores
decidieron donar $5,000.00
cada uno para mejorar la
producción. Que
procedimiento permite
conocer la aportación total?
A) Dividir $5,000.00 entre la
cantidad de productores
B) Multiplicar la cantidad de
productores por $5,000.00
C) Sumar la cantidad de
productores más $5,000.00
О
D) Restar $5,000.00 a la cantidad de
productores
Answer:
Multiply the number of producers by $ 5,000.00
Question:
Members of a producer association
decided to donate $ 5,000.00 each to improve the production. Than
procedure allows know the total contribution?
A) Divide $ 5,000.00 between the
number of producers
B) Multiply the amount of producers for $ 5,000.00
C) Add the amount of producers plus $ 5,000.00
О
D) Subtract $ 5,000.00 from the amount of producers
Step-by-step explanation:
We are asked to find the total contribution
Each manufacture will contribute $5,000.00
We were not told the number of manufacturers that would be contributing the amount.
Total contribution = number of manufactures × $5000
The procedure that allows one to know the total contribution:
Multiply the number of producers by $ 5,000.00
Option has B stated 'amount' instead of 'number'. It may be a mistake
B) Multiply the amount of producers for $ 5,000.00
y=7x^2-3
find the value of the discriminant
is there 2 real solution, 1 real solution, or no real solution
Step-by-step explanation:
We have,
[tex]y=7x^2-3[/tex]
It is required to find the value of the discriminant. It is given by :
[tex]D=b^2-4ac[/tex]
Here, a = 7 b = 0 and c = -3
So,
[tex]D=(0)^2-4\times 7\times (-3)\\\\D=84[/tex]
The discriminant is positive here, it means that it has two distinct real number solutions.
Which statement describes this pair of congruent triangles? Triangle H K J. Angle H is 58 degrees, angle K is 60 degrees, and angle J is 62 degrees. Triangle L M N. Angle L is 62 degrees, angle N is 58 degrees, angle M is 60 degrees. Triangle H J K is congruent to triangle L M N Triangle H J K is congruent to triangle M L N Triangle H J K is congruent to triangle N L M Triangle H J K is congruent to triangle N M L
Answer:
(C)Triangle HJK is congruent to triangle NLM
Step-by-step explanation:
In Triangle HKJ
Angle H is 58 degrees. Angle J is 62 degrees.Angle K is 60 degreesIn Triangle LMN (Arranging in the same order as the angles above)
Angle N is 58 degrees.Angle L is 62 degrees.Angle M is 60 degrees.Therefore, we can say that:
Triangle HJK is congruent to Triangle NLM.
The correct option is C
Answer:C
Step-by-step explanation:
I dare you to solve this!Foil method
Answer:
a^(2m) + 2 a^m b^ (n-1) + b^ ( 2n -2)
Step-by-step explanation:
( a^m + b^(n-1) )( a^m + b^(n-1) )
FOIL
first: a^m a^m = a^ 2m
outer: a^m b^ n-1
inner a^m b^ n-1
last : b^ n-1 b^ n-1 = b^ ( 2n -2)
Add together
a^(2m) + 2 a^m b^ (n-1) + b^ ( 2n -2)
A pair of boots has an original price of $95. They are on sale for 35 percent off. What number can you multiply $95 by to equal the discounted price of $61.75? 0.35 0.60 0.65 0.95
Answer:
0.65 c
Step-by-step explanation:
You can multiply $0.65 by $95 to get $61.75
annually versus quarterly. $5,000 at 10% for 5 years
Answer:
2500
Step-by-step explanation:
500*5
Seth's family plans to drive 220 220 miles to their vacation spot. They would like to complete the drive in 4 4 hours. Find the average speed in miles per hour needed to make the trip in the desired time.
Answer: 55 miles per hour
Step-by-step explanation:
Here is the complete question:
Seth's family plans to drive 220 miles to their vacation spot. They would like to complete the drive in 4 hours.
Find the average speed in miles per hour needed to make the trip in the desired.
From the question, Seth's family plans to drive 220 miles to their vacation spot and they would like to complete the drive in 4 hours.
Average speed is calculated as distance travelled divided by the time taken. This will be:
Speed = Distance/Time
Average speed = 220/4
Average speed = 55 miles per hour
Find the circumference of the circle below. (Use 3.14 for Pi)
The answer is 75.36 m
Please see the attached picture for full solution
Hope it helps
Answer:
[tex]75.36m[/tex]
Step-by-step explanation:
[tex]c = 2\pi \: r \\ = 2 \times 3.14 \times 12 \\ = 75.36m[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
round 76 million to 1 significant figure
Answer: 80,000,000
76 million in numbers is 76,000,000
this in 1 significant figure is 80,000,000
Ana will spin the spinner. What is the probability that Ana's spin will land on yellow? If there are 2 Red Sections, 3 Blue Sections, 4 yellow Sections, 3 Black Sections.
Answer:
The probability is 1/3
Step-by-step explanation:
Here, we are interested in calculating the probability that the spinner will land on the yellow section.
Firstly, we need to calculate the total number of sections. That would be = 2 + 3 + 4 + 3 = 12 sections
Now, the probability that the spinner will land on the yellow section = number of yellow sections/total number of sections
There are four yellow sections
Thus, the probability of the spinner falling on a yellow section = 4/12 = 1/3
Naz and Lara are going to the cinema. The film starts at 15.10 They want to arrive 20 minutes early. It takes them 35 minutes to walk to the cinema. What time should they leave home?
Answer:
they need to arrive at 14:05
Step-by-step explanation:
Brainliest question please help me answer this question please
Answer:
Step-by-step explanation:
The equation for a circle is
[tex](x-h)^2+(y-k)^2=r^2[/tex]
We have our h and k from the center as h = -1 and k = -3, and we also know the radius, which is 6. We also have an x/y coordinate as (-6, -6) and we want to know if that coordinate lies in, on, or outside of the circle. The way we will do that is plug everything into the circle equation and solve. If what we solve for is less than the radius, then the point is inside the circle; if what we solve for is equal to the radius, then the point is on the circle; if what we solve for is greater than the radius, then the point in outside the circle. Here we go:
[tex](-6-(-1))^2+(-6-(-3))^2?36[/tex] . There's a question mark there intentionally. The left side is the one we are solving for to see if it is less than, equal to, or greater than, 36. Continuing,
[tex](-6+1)^2+(-6+3)^2? 36[/tex] and
[tex](-5)^2+(-3)^2?36[/tex] and
25 + 9 ? 36
34 ? 36
We know that 34 is less than 36, so the point lies INSIDE the circle.
Answer:
a
Step-by-step explanation:
because it is in the circle
are there any words that would be hard to precisely define
Answer:
relative is one, if u need more just ask
Step-by-step explanation:
Please help me to do this I need help please help me thank you
Answer:
(This is for the pizza question)The area of the box is 900 cm, so subtract 900 cm from the area of the circle which is (3.14)[times radius which is 12(half of 24) squared] [144*3.14] So the area of the circle is 452.16 which you get from the area formula of pi times radius squared.
Step-by-step explanation:
Find the area of the box first, then subtract it by the area of the circle. (please thank me for it)
I need help with this i don’t know if I’m right so please help
Answer:
You're correct, it's a reflection.
Step-by-step explanation:
A glide reflection is for geometry where the object must go through a series of transformations and be reflected across the axis, this doesn't go through any transformations.
Answer:
reflection, i think for it to be a glide reflection, the image below it would be upside down or sideways
Step-by-step explanation:
Noah pays $25.20 for non-perishable food items to give to the local homeless shelter the price includes a 5% sales tax.
The question is incomplete:
Noah pays $25.20 for non perishable food items to give to the local homeless shelter the price includes a 5% sales of tax. what is the price before tax of the food items?
Answer:
$24
Step-by-step explanation:
From the information you have that the price of items is $25.20 and it includes a 5% tax. From this, you can write the following:
x+0.05x=25.20
Then, you can isolate x to find the price before tax:
1.05x=25.20
x=25.20/1.05
x= 24
According to this, the price before tax of the food items is $24.
Jean-Paul Sovique, the famous sculptor, is building a solid conical sculpture. He has 1,178.1 cubic feet of clay to work with, and he wants his sculpture to be three times as high as its radius. What will the radius and height of his cone be?
Answer:
Radius = 7.21 feet.
Height = 21.63 feet
- to the nearest hundredth.
Step-by-step explanation:
Let the radius be r feet, then the height will be 3r feet.
So the volume = 1,178.1 = 1/3 π r^2 h
1.178.1 = 1/3 π r^2 3r
1/3 π 3 r^3 = 1178.1
π r^3 = 1178.1
r^3 = 1178.1/ π
r^3 = 375
r = 7.211 feet.
So the height = 3 * 7.211 ft
= 21.633 ft
EASY- 15 POINTS
David buys a pair of shoes. The retail price of the shoe is $384. The
percent markup is 140%. What is the wholesale price of the shoes?
A. $274.29
B. $960
C. $240
D. $160
Solve the equation 2x - 3 plus 4x = 21
Answer:
[tex]x=3[/tex]
Step-by-step explanation:
Add like terms and get x by itself.
[tex]2x-3+4x=21\\6x-3=21\\6x=18\\x=3[/tex]
Can someone make sure that I’m right
Answer:
A
Step-by-step explanation: You are correct!
Given that 1/f = 1/u + 1/v , express u in terms of v and f
Answer:
u = fv/(v - f)
Step-by-step explanation:
1/f = 1/u + 1/v
1/u = 1/f - 1/v = v/fv - f/fv = (v-f)/fv
1/u = (v-f)/fv
u = fv/(v - f)
ab-bc , bc-ca, ca-ab
Answer:
2ab
Step-by-step explanation:
I am pretty sure this is adding polynomials.
This is not correct.
ab-bc+0
ab+bc-ca
0+0+ca
If you take each row at a time, you get.
ab-bc+0
ab+bc-ca
=
2ab+0-ca
0+0+ca
2ab
2ab is your answer
find the coordinates of M' after a reflection across the line y= -1 and then across the line x= -2. Answer in form (a,b)
Part 8a
===========================================================
Explanation:
Point M is currently located at (-3, -5). Note the y coordinate is y = -5. The vertical distance from this y coordinate to y = -1 is 4 units. If we move another 4 units up from y = -1, we end up at y = 3.
What does this mean? It means that reflecting point M over the line y = -1 has it end up on (-3, 3), which I'll call point N. See the diagram below.
---------
Next we reflect over the line x = -2. The horizontal distance from x = -3 to x = -2 is one unit. So we move another unit to the right to end up at x = -1.
Therefore, reflecting (-3,3) over the line x = -2 will have the point land on (-1, 3)
---------
When we reflect over the line y = -1 first and then the line x = -2 second, we will have the point (-3, -5) move to (-3,3) and then to (-1,3) in that order.
Check out the diagram below.
What is the value of x
Answer & Step-by-step explanation:
For this problem, we will be doing subtraction. First, we need to find the measurement of the angle beside the angle that measures 95°. We can do this by subtracting 95 from 180 because those angles are a linear pair meaning their measurements equal 180°.
180 - 95 = 85
So, the measurement of that angle is 85°. Now that we know this measurement, we can find the value of x. We can do this by adding 60 to 85 and then subtracting that sum from 180. All triangles have a total interior angle sum of 180°.
180 - (60 + 95)
180 - 155
25
So, the value of x is 25°
Answer:
35
Step-by-step explanation:
first, find the angle next to 95. subtract 95 from 180 since those two angles create a line. how you have 85. the total measure of all angles in a triangle is 180. so, 60+85+x=130. when solved, x=35 :)
Can’t get this right, please help!!
Answer:
x = -2
Step-by-step explanation:
The line represented in the graph is x = -2.
We know that lines in the form x = are vertical, and lines in the form y = are horizontal.
From this, the vertical line that intersects (-2,0) is x = -2.
HELP ASAP PLEASEE!!!
What additional information do you need to prove
that AMD≈CNB by the HL Theorem?
Answer:
its C
i just took the test
AM = CN serves as additional proof that the triangles AMD and CNB are comparable according to the HL theorem.
What is the right-angle triangle?A triangle is said to be right-angled if one of its angles is exactly 90 degrees. The total of the other two angles is 90 degrees. Perpendicular and the triangle's base are the sides that make up the right angle. The longest of the three sides, the third side is known as the hypotenuse.
Given Two right-angle triangles whose hypotenuse is equal.
From the HL-Theorem:
According to the hypotenuse-leg (HL) theorem, a right triangle is congruent if each of its hypotenuses and legs is congruent with its corresponding hypotenuse and legs in another right triangle. The HL theorem proves that these triangles are congruent.
This will work with any two right triangles that have the hypotenuse and one of the legs in proportion, as our selections of right triangles and their legs were arbitrary. Thus, the HL Similarity Theorem has been demonstrated.
Therefore, The additional information to prove if Both triangle AMD and CNB are similar by the HL theorem is AM = CN.
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