The larger of the triangle’s two acute angles is 65 degrees
Angles in a triangleGiven the expression
sin(x+4) = cos(3x + 2)
Since sin theta = cos(90 - theta), hence;
cos(90 - (x+4)) = cos(3x +2)
cos(86 - x) = cos (3x+2)
Cancel out the cosine functions to have:
86 - x = 3x + 2
-4x = -84
x = 21
Substitute x = 21 into the expression
sin(x+4) = Sin25 =
Hence the larger of the triangle’s two acute angles is 65 degrees
Learn more on acute angles here; https://brainly.com/question/6979153
Alex simplified the expression 7+(3x 1.4)+5+2+(5x 14) to find the area of the figure on the grid.
What error did Alex make?
O He found the perimeter of the figure instead of the area.
O He added the lengths of the lines creating the indentation instead of subtracting them.
O He used 5x1.4 and 3x 1.4 as the length of each diagonal line instead of 5 and 3.
O He added the five lengths together instead of multiplying them.
The error Alex made is that he found the perimeter of the figure instead of the area.
Area and perimeter of shapesGiven the expressions
7+(3x 1.4)+5+2+(5x 14)
He used the expression to simplify the grid
The expression simplified shows that Alex added all the measures of the sides of the grid instead of taking the product of the length and width
Note that the operation Alex performed is the perimeter of the figure instead of the area hence the error Alex made is that he found the perimeter of the figure instead of the area.
Learn more on area and perimeter of figure here: https://brainly.com/question/443376
Answer:
A - He found the perimeter of the figure instead of the area.
Step-by-step explanation:
Three sisters, whose average age is 10, all have different ages. When they get together in pairs, the average ages of two such pairs are 11 and 12. What is the age of the eldest sister?
The age of the eldest sister is 16 years.
What is an equation?An equation is used to show the relationship between two or more variables and numbers.
Let x represent the age of the older sister and y, z represent the other sisters ages.
Three sisters, whose average age is 10, all have different ages. Hence:
(x + y + z)/3 = 10 (1)
Also, When they get together in pairs, the average ages of two such pairs are 11 and 12, hence:
(x + y)/2 = 11 (2)
(x + z)/2 = 12 (3)
From equation 1, 2 and 3:
x = 16, y = 6, z = 8
The age of the eldest sister is 16 years.
Find out more on equation at: https://brainly.com/question/18176080
I just need help with this pls
Answer:
Option D
Step-by-step explanation:
Hello!
Recall the quadratic equation: [tex]x = \frac{-b\pm\sqrt{b^2 - 4ac}}{2a}[/tex]
Remember that a quadratic equation is written in the form [tex]ax^2 + bx + c\\[/tex]
So:
a = 2b = 5c = -1Plug the values in and solve:
[tex]x = \frac{-b\pm\sqrt{b^2 - 4ac}}{2a}\\\\x = \frac{-5\pm\sqrt{5^2 - 4(2)(-1)}}{2(2)}$\\\\x = $\frac{-5\pm\sqrt{25 +8}}{2(2)}$\\\\x = $\frac{-5\pm\sqrt{33}}{4}[/tex]
This would be [tex]\boxed{\text{Option D}}[/tex]
8th grade math help!!
Step-by-step explanation:
A = 1/2h(b1 + b2)
2A = h(b1 + b2)
h(b1 + b2) = 2A
h = 2A/(b1 + b2)
Suzanne bought a sweater at the sale price of $40.
The original cost of the sweater was $60. What
percent represents the discount Suzanne received
when buying the sweater?
40 / 60 = 2 / 3 = 33% off
she got a 33% discount
find the volume of the sphere
The volume of a sphere is [tex]V = \frac{4}{3} \pi r^3[/tex]
The radius is 6.1 and [tex]\pi[/tex] = 3.14, now let's plug it into the equation
[tex]V = \frac{4}{3} \pi (6.1)^3 = 950.3[/tex]
Thus the volume is 950.3[tex]cm^3[/tex]
Hope that helps!
need help on this graph
[tex]\frac{x^{2} -1}{16x} X \frac{4x^{2} }{5x + 5}[/tex]
Answer:
x^2-x / 20
Step-by-step explanation:
[tex]\underline{\underline{\large\bf{Solution:-}}}\\[/tex]
[tex]\begin{gathered}\\\implies\quad \sf \frac{x^{2} -1}{16x} \times \frac{4x^{2} }{5x + 5} \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf \frac{\cancel{(x+1)}(x-1)}{16x} \times \frac{4x^{2} }{5\cancel{(x + 1)}} \quad\quad(a^2-b^2 = (a+b)(a-b))\\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf \frac{x-1}{\cancel{16x}} \times \frac{\cancel4x^{\cancel2} }{5} \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf \frac{(x -1)(x)}{4\times 5} \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf \frac{x^2-x}{20} \\\end{gathered} [/tex]
More Identities:-[tex]\begin{gathered}\boxed{\sf{ {(a + b)}^{2} = {a}^{2} + {b}^{2} + 2ab \: }} \\ \end{gathered}[/tex]
[tex]\begin{gathered}\boxed{\sf{ {(a - b)}^{2} = {a}^{2} + {b}^{2} -2ab \: }} \\ \end{gathered}[/tex]
[tex]\begin{gathered}\boxed{\sf{ {x}^{2} - {y}^{2} = (x + y)(x - y) \: }} \\ \end{gathered}[/tex]
[tex]\begin{gathered}\boxed{\sf {(a + b)² = (a - b)² + 4ab\: }} \\ \end{gathered}[/tex]
[tex]\begin{gathered}\boxed{\sf {(a - b)² = (a + b)² - 4ab\: }} \\ \end{gathered}[/tex]
[tex]\begin{gathered}\boxed{\sf {(a + b)² + (a - b)² = 2(a² + b²)\: }} \\ \end{gathered}[/tex]
[tex]\begin{gathered}\boxed{\sf{ (a + b)³ = a³ + b³ + 3ab(a + b)\: }} \\ \end{gathered}[/tex]
[tex]\begin{gathered}\boxed{\sf {(a - b)³ = a³ - b³ - 3ab(a - b)\: }} \\ \end{gathered}[/tex]
Josephine is constructing a circle circumscribed about triangle XYZ. She uses the following sequence of steps to construct the circle.
1. She constructs the perpendicular bisectors of two sides.
2. She finds their point of intersection, P.
3. She uses a compass, with the fixed end on X, to draw a circle passing through point P.
Did Josephine make any errors while constructing the circle?
OA. Yes, she should have placed the compass with the fixed end on P and drawn a circle through point x.
OB. No, she did not make any errors.
OC.
Yes, she should have constructed the angle bisectors.
ज
OD.
Yes, she should have found the perpendicular bisectors of all 3 sides.
Answer:
A
Step-by-step explanation:
there is not much more to say.
the point where actually all 3 line bisectors intersect, is also called the "circumcenter". I guess you understand what that means : it is the center of the circle circumscribing the whole triangle (passing through all 3 corners/vertices).
once you find that point with 2 line bisectors, there is no need to construct the third - it WILL intersect the others at the same point.
Answer:
A
Step-by-step explanation:
PLEASE HELP ASAP
What is 7/8 expressed as a percent? Enter your answer as a decimal in the box.
Answer:
87.5
Step-by-step explanation:
What is the value of m in the equation {m-in
-n = 16, whеn n = 8?
o20
032
оооо
44
48
Answer:
m = 24
Step-by-step explanation:
if i'm wrong sorry not that good with math
ABCD is an isosceles trapezoid with legs AB and CD and with base BC. If AB=6z - 5 and BC = 7z +4 and CD = 4z +3
Answer:
Step-by-step explanation:
As it is an isosceles trapezoid,
AB = CD
6z - 5 = 4z + 3
To find the value of z, isolate z.
Add 5 to both sides
6z = 4z + 3 + 5
6z = 4z + 8
Subtract 4z from both sides
6z - 4z = 8
2z = 8
Divide both sides by 2
z = 8/2
z = 4
AB = 6z - 5
= 6*4 - 5
=24 - 5
AB = 19
CD = 4z + 3
= 4*4 +3
= 16 +3
CD = 19
BC = 7z + 4
= 7*4 + 4
= 28 + 4
BC = 32
A deck of cards have suits spade, diamonds, clubs, and hearts. There are 13 of each suit Ace, 2,3,4,5,6,7,8,9,10, jack, queen, and king. What is the probabililty of choosing a King from a standard deck?
Answer:
1 out of 13
Step-by-step explanation:
Which number is not in scientific notation? (1 point)
0.2 • 10^3
3 • 10^28
1.03 • 10^–2
1.5 • 10^–6
Answer:
Hi I'm always here to help!!!
_______________________
Ah welp that was wrong it was A
Sorry that I was wrong
_______________________
Have a great day!!!!
Answer:
Your answer would be:
A.) 0.2 x 10^3
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
Which expression shows a sum of five terms? (3 points)
5(x + 5)
5x
x5
5 + x + 5 + x + x
5.
Answer:
5 + x + 5 + x + x
Step-by-step explanation:
We are given 4 expressions and we have to determine which expressions shows a sum of five terms.
We use the process of elimination:
5(x + 5)
=5x+25 (distributing 5)
This contains sum of only two terms, eliminate.
5x
It contains only 1 term, eliminate.
5 + x + 5 + x + x
It contains 5 terms 5,x,5,x and x, KEEP!
5.
Only contains 1 term, eliminate.
With this said, were left with:
5 + x + 5 + x + x
Which is the correct answer! :)
how to solve 5f=41-3f-9
~Shoto Todoroki here~
1. Subtract the numbers
2. Rearrange terms
3. Add to both sides of the equation
4. Simplify
5. Divide both sides of the equation by the same term
6. Simplify
F=4hope this helps :D
Calculate the simple interest earned as a amount R1400 at an annual interest rate 6.5% over 3 years?
Answer:
principle (p)=Rs1400
Rate(R)=6.5
time(T)=3
we know that
I=P×I×T/100
=1400×6.5×3/100
=273
therefore the simple interest earned is Rs273
please help find the point of intersection (ordered pair)
x + 2y=3
2x - 4y = -20
Answer:
Check out Tiger algebra
it gave me
Slope=-2.000/2.000=-1.000
x - intercept = 3/1 = 3.00000
y - intercept = 3/2 = 1.50000
and
Slope=1.000/2.000=0.500
x - intercept = 10/1 = 10.00000
y - intercept = 10/2 = 5
It requires nothing.
Yolanda is driving on a highway. She uses one gallon of gas every 20 miles she drives. The distance, D (in miles), she travels on g gallons of gas is given by the
following
D=20g
How far does Yolanda drive if she uses 5 gallons of gas?
Answer:
1g=20d so 5g=100d
Step-by-step explanation:
If it is 20 MPG, then, to find it for 5 gallons of gas, we have to multiply 20 by it. So, we have to do - 20x5
20x5=100
So hence, Yolanda drives 100 miles on the highway using 5 gallons of gas.
Thanks!
The nth term of a certain sequence is given as Un=(4-n)^2-1. Write down the first five terms of the sequence
The first five term of the sequence is as follows:
first term = 8second term = 3Third term = 0fourth term = -1fifth term = 0What is a Sequence?A sequence is an ordered list of numbers . Therefore,
nth term = (4 - n)² - 1where
n = number of term
let's find the first 5 term as follows:
first term = (4 - n)² - 1 = (4 - 1)² - 1 = 8second term = (4 - n)² - 1 = (4 - 2)² - 1 = 3Third term = (4 - n)² - 1 = (4 - 3)² - 1 = 0fourth term = (4 - n)² - 1 = (4 - 4)² - 1 = -1fifth term = (4 - n)² - 1 = (4 - 5)² - 1 = 0learn more on sequence here: https://brainly.com/question/14147167
6. If the mean of A and B is 20, the mean of B and C is 24 and the mean of A, B and C is 18. What is the mean of A and c?
Answer:
10
Step-by-step explanation
[tex]\frac{a+b}{2}=20\\\frac{b+c}{2}=24\\ \frac{a+b+c}3}=18\\[/tex]
20x2 = 40 -> a+b=40
24x2 = 48 -> b+c=48
18x3 = 54 -> a+b+c=54
solve the equations...
a=6
b=34
c=14
a+c/2 = 6+14/2 = 10
A parabola can be drawn given a focus of (0, –9) and a directrix of
y=-5. What can be said about the parabola?
Answer:
Step-by-step explanation:
x2+(y-9)2=(y-5)2distance from point on curve to focus [squared]
Given budgeted sales of 10,000 units, desired ending inventory of 5,000 units, and beginning inventory of 2,000 units, required production is ______ units. Multiple choice question. 15,000 13,000 7,000 10,000
Based on the information given the required production is 13,000 units.
Required productionUsing this formula
Required production=Budgeted sales units+Ending inventory units-Beginning inventory units
Let plug in the formula
Required production=10,000 units+5,000 units-2,000 units
Required production=13,000 units
Inconclusion the required production is 13,000 units.
Learn more about required production units here:https://brainly.com/question/13061264
Find the area of trapezoid ABCD by decomposing it into a rectangle and triangle.
A)80 cm^2
B)96 cm^2
C)104 cm^2
D)112 cm^2
Answer:
c) 104
Step-by-step explanation:
Please help if you can!!
Answer:
47x+10
Step-by-step explanation:
The length and the breadth of a rectangle are 40 m and 30 m respectively. If its perimeter = perimeter of a square. Find the side of the square
Answer:
above is the solution to the question
simplify this number urgent please
(3⅓+5¾)-2⅚
The simplified answer would be 6 1/4
In triangle ABC, the measure of angle A is 90 ° . Angle B is congruent to angle C. What is the measure of angle B in degrees?
Answer: 45 degrees
Step-by-step explanation:
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS
Answer:
b
Step-by-step explanation:
Answer:
(-1, -1)
explanation:
The value of y will be negative and x value shall be same.
Here the original coordinates of A: (-1, 1)
So new coordinates: (-1, (-)1) = (-1, - 1)Worth 10 points please help me
Answer:
x = 100°
Step-by-step explanation:
40 + 40, the bottom two angles, = 80. a triangle has 180 degrees in total. 180 - 80 = 100. the missing angle of the bottom triangle is 100. since the bottom 100 is a vertical angle to the x, x must equal 100 degrees