Answer: = 2
Step-by-step explanation: Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.
Same as before this test... is just driving me crazy I'm blowing all my points through these so...
Answer and Step-by-step explanation:
For this, you would need to use the trigonometric function Sine and cosine.
The trig equations are:
sin(θ) = [tex]\frac{opposite - side}{hypotenuse}[/tex]
cos(θ) = [tex]\frac{adjacent-side }{hypotenuse}[/tex]
Let's start with Sine:
sin(60) = [tex]\frac{x}{10\sqrt{3} }[/tex]
Multiply both sides of the equation by [tex]10\sqrt{3}[/tex].
[tex]10\sqrt{3} (sin(60)) = x[/tex]
Input into calculator and solve.
x = 15
Now for Cosine:
cos(60) = [tex]\frac{y}{10\sqrt{3} }[/tex]
Multiply both sides of the equation by [tex]10\sqrt{3}[/tex].
[tex]10\sqrt{3} (cos(60)) = x[/tex]
Input into calculator and solve.
y = [tex]5\sqrt{3}[/tex]
x = 15
y = [tex]5\sqrt{3}[/tex]
These are the answers.
I hope this helps!
#teamtrees #PAW (Plant And Water)
Step-by-step explanation:
It's a right triangle with one of the angles being 60°. This means that the leftover angle is 30°. This allows me to use the attached screenshot as a reference, so please check it out if you want to understand how to easily solve those types of equations in the future. Anyway, we can specify the hypotenuse as [tex]a[/tex] .
First, let's calculate the value of [tex]y[/tex].
[tex]a[/tex] = [tex]10\sqrt{3}[/tex]
[tex]y[/tex] = [tex]\frac{a}{2}[/tex]
[tex]y[/tex] = [tex]\frac{10\sqrt{3} }{2}[/tex]
[tex]y[/tex] = [tex]5\sqrt{3}[/tex]
----
Now, let's get to [tex]x[/tex]
[tex]a[/tex] = [tex]10\sqrt{3}[/tex]
[tex]x[/tex] = [tex]\frac{a\sqrt{3} }{2}[/tex]
[tex]x[/tex] = [tex]\frac{10 \sqrt{3} * \sqrt{3}}{2}[/tex]
[tex]x[/tex] = [tex]\frac{10 * 3}{2}[/tex]
[tex]x[/tex] = [tex]\frac{30}{2}[/tex]
[tex]x[/tex] = [tex]15[/tex]
----
[tex]x[/tex] = [tex]15[/tex] and [tex]y[/tex] = [tex]5\sqrt{3}[/tex]
The following are the ages (years) of 5 people in a room:
17, 21, 15, 15, 25
A person enters the room.
The mean age of the 6 people is now 25.
What is the age of the person who entered the room?
Answer:
57 years
Step-by-step explanation:
total=25*6=150
17+21+15+15+25+x=150
93+x=150
x=150-93
x=57
Answer:
age=57
Step-by-step explanation:
ages=17 21 15 15 25 ?
17+21+15+15+25=93(old mean)
17+21+15+15+25+?=25(new mean)
25(new mean)*6(number of numbers)=150
?=150-93=57
= 57
can you please show work
Answer:
A) 3.44 ft²
Step-by-step explanation:
before cutouts, the area was 4 x 4 = 16 ft²
the circles have a diameter of 2 ft each, and a radius of 1 ft
each circle has an area pf (3.14)(1²) = 3.14 ft²
3.14 x 4 = 12.56 ft²
16 - 12.56 = 3.44 ft² left
Which fraction is in reduced form?
4/21
42/54
18/27
2/10
Answer:
4/21
Step-by-step explanation:
4/21 can't be reduced anymore there is no number that goes into 4 and 21 and divides perfectly.
4/21 = 4/21
42/54 = 21/27 = 7/9
18/27 = 6/9 = 2/3
2/10 = 1/5
hey besties please help me :D
Answer:
a. 4
b. 3
Step-by-step explanation:
The triangles are congruent so each side is the same.
The side DF is equal to AC which is equal to 4.
The side EF is equal to BC which is equal to 3.
Hope this helps :)
Qual é o comprimento do arco correspondente a um ângulo ao centro de 45 graus, numa circunferência de raio 3 cm ?
Answer:
2.4 m
Step-by-step explanation:
A fórmula para o comprimento do arco é dada como:
Comprimento do arco = 2πr (θ / 360)
Onde r = raio = 3cm
θ = Ângulo em graus = 45 °
Comprimento do arco = 2 × π × 3 (45/360)
Comprimento do arco = 2.356194m
Aproximadamente = 2.4 m
What is the distance between the points (12, 6) and (−8, 6) on a coordinate plane? *
4 units
12 units
6 units
20 units
Answer:
im pretty sure it is "4 units"
Step-by-step explanation:
Write as fraction in its lowest form: 0.342 *
1 point
171/500
342/100
34/10
342/10
Answer:
171/500
Step-by-step explanation:
im pretty sure it is sorry if wrong.
had a good day?
Find the length of AB.
AB = [ ? ]in
Answer: About 3.14 inches
Which will help you answer, "To what power must a student raise the number 5 to have an answer of 625?"
Group of answer choices
$$log_{5} x=625$$5=625
l
o
g
5
x
=
625
log5625=
log
5
625
=
x
log5625=
log
5
625
=
x
log5=625
log
x
5
=
625
log5=625
log
x
5
=
625
log6255=
log
625
5
=
x
log6255=
log
625
5
=
x
Answer:
4th power
5x5x5x5 = 625
Step-by-step explanation:
Answer: log5(625)=x
Step-by-step explanation:
what is the ratio for 18 goldfish in a tank of 48 fish simplify the answer please I will give you brainliest
Answer:
Jayhllaaa rember ur best fried Ana I went to different school and it ends at 3:10 I think but 4:00 for sure I don't have wifi but we can talk thru here tomorrow I think we get the wifi then we talk okayy hewooo by they wayyy
Step-by-step explanation:
bestiess
Write Expresion as an Exponent
aaabbccccc
Answer:
a³b²c⁵
Step-by-step explanation:
simply count them
Write the recursive formula for this sequence: 3, 1, -1, ... *
Answer:
the answer is 5-2n please do you get it
Select the factors for the quadratic expression 10m2 + 89m − 9.
a
(5m + 9)(2m - 1)
b
(10m + 9)(m + 10)
c
(m - 9)(10m + 89)
d
(m + 9)(10m − 1)
Solve the inequality.
−3y < −14
Answer:
y<14/3
Step-by-step explanation:
−3y < −14
dividing both side by -3
-3y/-3 <-14/-3
y<14/3
The solution of the inequality will be equal to y<14/3.
What is inequality?When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
The given inequality will be solved as,
−3y < −14
Dividing both sides by -3 and solving further.
-3y/-3 <-14/-3
y < 14
To know more about inequality follow
https://brainly.com/question/24372553
#SPJ2
A truck travels 333 km in 6 hours. What is the truck’s speed for that trip?
Answer:
55.5 km
Step-by-step explanation:
speed=distance/time
55.5= 333/6
Answer:
55.5 km per hour
Step-by-step explanation:
The simple formula is D_S-T
D is at the top for Distance
S is down to the left for speed
And T to the right as Time
Its simple so just take
Distance: 333km
Time: 6 hrs
333÷5=55.5/1
Find the common difference for the given sequence
1.2, 1.85, 2.5, 3.15, ...
Answer:
c)0.65
Step-by-step explanation:
Answer:
0.65
Step-by-step explanation:
1.2 + 0.65 = 1.85
1.85 + 0.65 = 2.5
2.5 + 0.65 = 3.15
And so on...
The speed of trains from New York to Boston was increased by
20% to 60 miles per hour. What was the speed of the trains
before the increase?
Answer:
48
Step-by-step explanation:
First, we find 20% of 60. That is 12. Then we subtract 12 from 60, making 48.
Do you ever subtract using the z-score?
A) yes
B) no
C) sometimes
t/12 = 4
solve for the solution
The circumference of the hub cap of a tire is 73.79 centimeters. Find the area of this hub cap. Use 3.14 for π. Use pencil and paper. If the circumference of the hub cap were smaller, explain how this would change the area of the hub cap.
The area of this hub cap is about __ square centimeters.
Answer:
433.5 cm²
Step-by-step explanation:
The formula for circumference is C = 2πr, where r is the radius.
Here, C = 2πr = 73.79 cm. Solving this for the radius, r, we get:
73.79 cm
r = ---------------- = 11.75 cm
2(3.14)
Then the area of the hubcap is A = πr², or, in this case,
A = 3.14(11.75 cm)² = 433.5 cm²
Answer:
simple answer (and rounded for u) = 434 centimeters squared! hope it helps peeps
Step-by-step explanation:
What are the coordinate pairs of this??
Answer:
A is (-4,-3) and B is (6,-5)
Step-by-step explanation:
PLEASE ANSWER
What is the perimeter of the parallelogram?
Answer:
Perimeter = 44.8
Step-by-step explanation:
Perimeter = 2(13.4 + 9) = 44.8
Please answer this correctly and do not guess or put random stuff. I will report if you do so.
Square OPQR is inscribed in triangle ABC. The areas of △AOR, △BOP, △CRQ are 1, 3, and 1, respectively. What is the area of square OPQR?
Answer:
9 units²
Step-by-step explanation:
We know that ΔCRQ and ΔBOP are right triangles because RQ and OP are perpendicular to CB.
ΔAOR must also be a right triangle because ∠AOR = ∠OBP and ∠ARO = ∠RCQ.
Because of the Angle-Angle-Angle theorem, we know that ΔAOR ≅ ΔBOP ≅ ΔCRQ.
AR/AO = OP/PB
3(1/2)(AR)(AO) = (1/2)(OP)(PB)
PB = 6, OP = 3
3 x 3 = 9 units²
The area of square OPQR is 9 units².
Calculation of the area of square:Since
ΔCRQ and ΔBOP are right triangles since RQ and OP are perpendicular to CB.
Also,
ΔAOR must also be a right triangle due to ∠AOR = ∠OBP and ∠ARO = ∠RCQ.
So it can be like
AR/AO = OP/PB
3(1/2)(AR)(AO) = (1/2)(OP)(PB)
PB = 6, OP = 3
= 3 x 3
= 9 units²
hence, The area of square OPQR is 9 units².
Learn more about area here: https://brainly.com/question/24703634
The baker's at a bakery can make 160 bagels in 4 hours how many bagesl can they bake in 16 hours? What is that rate per hour. "Explanation"
Answer:
640 bagels
Rate: 40bagels/hour
Step-by-step explanation:
If the baker's at a bakery can make 160 bagels in 4 hours, then;
160 bagels = 4 hours
To calculate the amount the baker can bake in 16hours, we can write;
x bagels = 16hours
Divide both expressions
160/x = 4/16
160/x = 1/4
Cross multiply
x* 1= 160 * 4
x = 640
Hence the baker can bake 640 bagels in 16hours
To know the rate per hour, we can write;
x bagel = 1hr
Recall that; 160bagels = 4 hours
Cross multiply
x * 4 = 1 * 160
4x = 160
x = 160/4
x = 40
Hence the rate per hour is 40bagels/hour
work out the sizes of angles x,y and z
Answer:
x &y=64 z=20
Step-by-step explanation:
ABD is an isosceles triangle therefore x and y will have the same angles.You will do 180(as angles in a triangle add up to 180) and subtract 52 which is 128.After that you then divide by 2 to get the values of x and y=64
To find z,you know that angles in a triangle equal 180 so you want to subtract 2 values from 180 to find z.To find the other value you do 180-y=180-64=116.Therefore 116+44=160, 180-160=20 so z=20
Is 2,-2,3,-2,7,-2,11,-2 a function
Answer:
Step-by-step explanation:
D
In a survey of 3,200 people who owned a certain type of car, 1,920 said they would
buy that type of car again. What percent of the people surveyed were satisfied with the car?
% of the people surveyed were satisfied with the car
Answer: 60%
Step-by-step explanation: 1920/3200=.6 .6 in a percentage is 60%
Can someone please help? This is due soon and I have no clue how to do it. Can someone please explain how to do this?
9514 1404 393
Answer:
y = 27
Step-by-step explanation:
The altitude of a right triangle creates two triangles that are each similar to each other and to the larger right triangle. This means corresponding sides are proportional.
If we write the proportion for the legs, we get ...
(long leg) / (short leg) = y/18 = 18/12
Multiplying by 18 gives us ...
y = 18(18/12)
y = 27
_____
Additional comment
The leg/leg proportion above gave rise to the relation ...
altitude² = (left hypotenuse segment)×(right hypotenuse segment)
That is, the altitude is the geometric mean of the two hypotenuse segments it touches. 18 = √(12y)
__
There are two other "geometric mean" relationships in this triangle.
The upper left side is the geometric mean of the left hypotenuse segment and the whole hypotenuse (the two segments it touches at the bottom).The upper right side is the geometric mean of the right hypotenuse segment and the whole hypotenuse (the two segments it touches at the bottom).Each of these relationships is ultimately derived from the fact that all of the triangles are similar. You really only need to remember that these triangles are all similar and corresponding sides of similar triangles are proportional. (In some cases, it can be a bit of a shortcut if you remember the geometric mean relations.)