Answer:
[tex] \frac{4}{5} > \frac{1}{2} [/tex]
Step-by-step explanation:
[tex] \frac{4}{5} = 0.8[/tex]
[tex] \frac{1}{2 } = 0.5[/tex]
Solve the equation in degrees for all exact solutions where appropriate. Round approximate answers in degrees to the nearest tenth. Write answers using the least possible nonnegative angle measures.
The equation is an illustration of trigonometry ratios, and the non-negative values of x are 30 and 270 degrees
How to solve the equation?The equation is given as:
2sin²(x) + sin(x) = 1
Let y = sin(x)
So, the equation becomes
2y² + y = 1
Rewrite as:
2y² + y - 1 = 0
Expand
2y² + 2y - y - 1 = 0
Factorize
2y(y + 1) - 1(y + 1) = 0
Expand
(2y - 1)(y + 1) = 0
Split
2y - 1 = 0 or y + 1 = 0
Solve for y
y = 0.5 or y = -1
Recall that: y = sin(x)
So, we have:
sin(x) = 0.5 and sin(x) = -1
Take the arcsin of both sides
x = sin⁻¹(0.5) and x = sin⁻¹(-1)
x = 30 degrees and x = 270
Hence, the non-negative values of x are 30 and 270 degrees
#SPJ1
Read more about sine ratios at:
https://brainly.com/question/11967894
Nikki use some cloth to make a miniature tent, as shown in the figure. How much cloth did she use to make the tent?
A.
61 square inches
B.
140 square inches
C.
272 square inches
D.
296 square inches
E.
300 square inches
Answer:
D. 296 square inches
Step-by-step explanation:
The surface area of a prism is the total area of all its faces.
A triangular prism has three rectangular faces and two triangular faces.
As all 3 sides of the triangle face of this prism are equal, each of the 3 rectangular faces are also equal in area.
Formulae
Area of a triangle = 1/2 x base x heightArea of a rectangle = width x lengthFrom inspection of the diagram:
⇒ Area of a triangle = 1/2 x 8 x 7 = 28 in²
⇒ Area of a rectangle = 8 x 10 = 80 in²
Total surface area
Total surface area = 3 rectangle areas + 2 triangle areas
= (3 x 80) + (2 x 28)
= 296 in²
Answer:
296
Step-by-step explanation:
have a great day
Question is in the picture.
Answer:
angle A=65
a= 24.5
b= 36.4
Step-by-step explanation:
Solve for x. Leave your answer in simplest radical form.
SOMEONE PLEASE HELP ME ILL GIVE YOU BRAINLIST ANSWER
Step-by-step explanation:
REFER TO THE ATTACHMENT!!
can we friends
The rate for shipping by air express is $8.50 per 100 kg.
Which is the cost for a 250 kg shipment?
Answer:
It will cost $21.25
Step-by-step explanation:
We can use ratios to solve
8.50 x
-------- = -----------
100 kg 250 kg
Using cross products
8.50 * 250 = 100 x
Divide each side by 100
8.50 * 250/100 = x
21.25 = x
It will cost $21.25
What number should be added to – 5 to get 3/5
Answer:
5.6
Step-by-step explanation:
3/5=0.6
so you would add 5.6 to get 0.6
Out of 1200 students in a school , 24% were girls . How may boys were there?
Answer:
912
Step-by-step explanation:
number of girls :
[tex]1200\times \frac{24}{100} =12\times 24=288[/tex]
number of boys :
1 200-288 = 912
The graph of trapezoid ABCD has coordinates A(–2,–2), B(–3,–4), C(2,–4), D(1,–2)
Answer:
Can I have a picture of the Graph please?
Kim brought $39.75 to the art supply store. She bought a brush, a sketchbook, and a paint set. The brush was 1 4 as much as the sketchbook, and the sketchbook cost 2 3 the cost of the paint set. Kim had $4.00 left over after buying these items
Answer:
I can't get past hre, equations are attached tho
Step-by-step explanation:
Equations:
[tex]b + s + p = 35.75[/tex]
[tex]\frac{1}{4} b = s[/tex]
[tex]\frac{2}{3} s = p[/tex]
Now I used Desmos to solve this, im sure theres a way to find it the legit way but i'm too lazy. Here's the image of what the graph is like:
brush =$20.21,. sketchbook =$6.21 , paint set=$9.32
Step-by-step explanation:
let the cost of the brush=x
the cost of the sketchbook=y
the cost of the paint set= z
total money used= $39.75-$4.00
=$35.75
x= 14+y
but y=2/3z
x= 14+2/3z
14+2/3z +2/3z +z =35.75
3×14 +3×2/3z+3×2/3z×3z=3×35.75
42 +2z +2z +3z =107.25
7z=107.25-42
7z=65.25
z=65.25/7
z=$9.32
y=$2/3×9.32
y=$6.21
x=14+y
x=14+6.21
x=$20.21
On a coordinate plane, 3 lines are shown. Line a has points (negative 3, 3) and (3, negative 3). Line b has points (negative 3, negative 2) and (2, 3). Line c is parallel to line b.
If line b is perpendicular to line a, and line c is perpendicular to line a, what is the slope of line c?
Answer:
slope c =1
Step-by-step explanation:
slope for line (y2-y1)/(x2-x1)
slope of line a = (-3-3)/(3-(-3))
slope of line a = -6/6 = -1
if line c is perpendicular to line a, so relationship for slops are
(slope a) *(slope c)= -1
(-1)*(slope c) = -1
slope c =1
Answer:
mc = 1
Step-by-step explanation:
I don’t understand this question
Answer:
Step-by-step explanation:
Point x (-6,3) is translated 2 units left and 5 units down. Write the coordinates of X'
Answer:
X' (-8,-2)
Step-by-step explanation:
You move -6 two spaces to the left making -8 and 3-5 = -2
Find the missing angle.
Answer:
32 degrees
Step-by-step explanation:
The angle supplementary with the 122 degree angle measures 180-122=58 degrees.
So, the triangle has interior angles of f, 90, and 58 degres.
Since the angles in a triangle add to 180 degrees, f+180-90-58=32 degrees
How many different plates can be made with 2 vowels and a digit?
============================================================
Explanation:
If repeats are allowed, then we have 5 vowels (a,e,i,o,u) for the first vowel slot, and 5 choices for the second vowel slot. We also have 10 choices for the numeric digit (0 through 9).
There are 5*5*10 = 250 ways to make a selection of the form LLN where L stands for "letter" (specifically a vowel) and N stands for "number". An example plate could be AE2.
There are also 250 ways to make a selection of the form LNL and 250 ways to select something of the form NLL.
That means there are 3*250 = 750 ways to make a license plate with two vowels and a digit where repeats are allowed.
For f(x)=2x+1 and g(x)=x^2-7, find (f-g)(x).
Answer:
[tex](f-g)(x)=-x^{2}+2x+8[/tex]
Step-by-step explanation:
[tex]\left( f-g\right) \left( x\right) =f\left( x\right) -g\left( x\right)[/tex]
[tex]=2x+1-\left( x^{2}-7\right)[/tex]
[tex]=2x+1-x^{2}+7[/tex]
[tex]=-x^{2}+2x+8[/tex]
is 47°, what is the measure of Z3?
Ο Α. 1536
O B. 43
O C. 133
O D. 47°
Answer:
<3=C. 133
Step-by-step explanation:
Well, angle 2 and angle 3 are corrisponding angles, meaning that they are on the same line, and a line is always equal to 180, and 47 degrees is a part of that line, and you need the other part of that line for angle 3, so you simply subtract 180-47=133 degrees
if x/a =y/b=z/c prove the follong photo
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]\frac{x}{a}= \frac{y}{b} =\frac{z}{c}[/tex]
[tex]Let \: \frac{x}{a}= \frac{y}{b} =\frac{z}{c}=m[/tex]
(where m is any constant)
[tex]\implies[/tex]
[tex]\frac{x}{a}=m\implies x =am[/tex]
[tex]\frac{y}{b}=m\implies y =bm[/tex]
[tex]\frac{z}{c}=m\implies z =cm[/tex]
To Prove:
[tex]\frac{ax-by}{(a+b)(x-y)}+\frac{by-cz}{(b+c)(y-z)}=2[/tex]
LHS [tex]=\frac{ax-by}{(a+b)(x-y)}+\frac{by-cz}{(b+c)(y-z)}[/tex]
(Plug the values of x, y and z in the form of am, bm and cm respectively in the LHS)
[tex]=\frac{a(am)-b(bm)}{(a+b)(am-bm)}+\frac{b(bm)-c(cm)}{(b+c)(bm-cm)}[/tex]
[tex]=\frac{a^2m-b^2m}{(a+b)m(a-b)}+\frac{b^2m-c^2m}{(b+c)m(b-c)}[/tex]
[tex]=\frac{m(a^2-b^2)}{m(a+b)(a-b)}+\frac{m(b^2-c^2)}{m(b+c)(b-c)}[/tex]
[tex]=\frac{\cancel{m(a^2-b^2)}}{\cancel{m(a^2-b^2)}}+\frac{\cancel{m(b^2-c^2)}}{\cancel{m(b^2-c^2)}}[/tex]
= 1 + 1
= 2
= RHS
[tex]\implies \purple{\bold{\frac{ax-by}{(a+b)(x-y)}+\frac{by-cz}{(b+c)(y-z)}}}=\red{\bold{2}}[/tex]
Thus proved
Miguel did the following math problem: 6 ^5 · 6^ 4 = 36^ 9.
Which of the following is a true statement?
He is incorrect because he multiplied the bases.
He is incorrect because he should have multiplied the exponents.
He is correct.
He is incorrect because he should have subtracted the exponents.
Answer:
He is incroredct because he should have multiplied the bases
Step-by-step explanation:
Answer:
A: He is incorrect because he multiplied the bases.
Step-by-step explanation:
The correct answer would have been: [tex]6^{9}[/tex]
A dragon flew 300 miles from his castle to visit a friend. Flying with the wind, his trip took 2 hours. His return trip against the wind took 3 hours. What was the speed of the wind and the speed of the dragon in still air?
Please help me. I WILL mark brainliest and give lots of points.
Answer:I’m not sure about the wind but the speed of the dragon is 125mph
Step-by-step explanation:Remember,
Speed=Distance/Time
Distance=Speed x Time
Time=Distance/Speed
Knowing that the distance in both trips was the same, we can say that he flew his trip 150mph (Speed=300/2) the first time and 100mph (Speed=300/3) the second time. Next, we find the average of 150 and 100 and that is (100+150)/2 which is 125. I’m sorry I couldn’t find the speed of wind, but in my defense, I’m only in 6th grade. Hopefully that helped you, good luck!
Answer:
Speed of the wind was
25 miles per hour.
Speed of Mighty Dragon 125 was
miles per hour.
Step-by-step explanation:
math lel
Find the x-intercept and y-intercept of the line. -
x+3y=6
Graph!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
see attached
Step-by-step explanation:
The given equation is in "point-slope" form:
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
Comparing the equation to the form, you see ...
m = 3(h, k) = (-1, -3)__
The equation is easily graphed by plotting the point (-1, -3) and then drawing a line through it that has a slope (rise/run) of 3. That is, the line will go up 3 grid squares for each grid square to the right. (The origin is a point on the line.)
Find the volume of the rectangular prism below.
Answer:
The answer is 4,224
Step-by-step explanation:
hope this helpss
What do you guys think question 2,3,4 &5 Is called?
2 - cubic centimeters
3- cubic decimeters
4- cubic centisquare
5- cubic millimeters
( cylinder's unit is in cubic due to formula )
(correct me if I'm wrong)
The solid below is made from cubes.
Find its volume.
Answer:
36 yd^3
Step-by-step explanation:
6*2*3
Yo I need to bring up my math grade bad so
4x-5y>20
(please show it graphed already, and step by step, NO LINKS
Answer:
Set both equations equal to 20
4x > 20
-5y> 20
solve by divideing
x >5
y> -4
A square has side lengths of 1 meter. What is the area of the square?
Answer:
4 meters
Step-by-step explanation:
A square has four sides, therefore four times one is 4.
Eleven more than three times a number is at most 62
Answer:
11-3×62=496
Step-by-step explanation:
by getting 8 by subtracting 11 and 3 yoy can do this
[tex]62[/tex]
[tex] \times 8[/tex]
The number is 17 and less and the inequality is 3x + 11 ≤ 62
Given,
Eleven more than three times a number is at most 62
We need to find the number and the inequality.
What are the inequalities?
< mean less than
> means greater than
≤ means less than or greater than
≥ means greater than or equal to
Find the meaning of the statement.
more than means adding
times means multiply
At most 62 means the maximum is 62 and we use ≤ 62.
Find the expression.
Eleven more than three times a number is at most 62
Let x be the number.
3x + 11 ≤ 62
Find x value.
3x + 11 ≤ 62
3x + 11 62
3x ≤ 62 - 11
3x ≤ 51
x ≤ 51/3
x ≤ 17
Thus the number must be 17 and less and the inequality is 3x + 11 ≤ 62
Learn more about how to solve an inequality here:
https://brainly.com/question/17086294
#SPJ2
Harry owes his father $80. He makes $45 cutting grass on Saturday morning and has another grass cutting job
on Saturday afternoon. Which inequality shows how much Harry will need to eam on Saturday afternoon to
have enough to pay his father back?
a. 45 + x > 80
b. 45 + x 2 80
c. 45 + x < 80
d. 45 + x < 80
Answer:
$45 + $x = $80
Find the area of the figure in the picture below
Answer:
183 cm^2
Step-by-step explanation:
the line through the shape line means that they are equivalent meaning the side that is empty not making the trapezoid would be 9 as well. moving the 3 over since it is right next to it. 3 times 9 equal 27cm^2. later we are gonna use this number to subtract
then make a different equation with 3+9 to the the full height of the trapezoid pretending it is not missing anything. 3+9=12
then use the formula to find the area of the trapezoid which is 1/2(h)(b1+b2)
add the 2 bases together to get 35. how did i get 35. 12+14=26 yes then include the 9 to get 35.
1/2(height=12)(35)=6(35)=210cm^2
then you used 210-27 to get 183cm^2
for the following question, true or false.
Answer:
False
Step-by-step explanation:
You can't add without first doing the terms of 2^3---(PENDAS)
