Answers
[1] Complementary means the angles will add up to 90 degrees
() Blank one is BOC
() Blank two is 90
() Reason blank I am unsure as I do not know the wording that is being looked for, but it is either "given," "complementary angles" or something similar
[2] Since AOC is equal too BOC + 30, we can decide the following is true
() First blank is BOC
() Second blank is 30
[3] 30°
() BOC + BOC + 30 = 90 [Given]
2(BOC) = 60 [Subtract 30 from both sides & combine like terms]
BOC = 30 [Divide by 2]
[4] 60°
() 90 - 30 = 60
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Related Questions
Given: 8x - 3y= -21, 3x + y = -10; prove x= -3
Answers
3x+y=-10
Substitute the value of y
8x-3y=-21
y=-10-3x
8x-3(-10-3x)=-21
x=-3
can someone help me solve this 11
Answers
[tex]\dfrac{\sin \alpha}{\cos \alpha + \sin \alpha} - \dfrac{\cos \alpha}{\cos \alpha - \sin \alpha}\\\\\\=\dfrac{\sin \alpha(\cos \alpha - \sin \alpha) - \cos \alpha(\cos \alpha + \sin \alpha)}{(\cos \alpha + \sin \alpha)(\cos \alpha -\sin \alpha)}\\\\\\=\dfrac{\sin \alpha \cos \alpha - \sin^2 \alpha - \cos^2 \alpha - \cos \alpha \sin \alpha}{\cos^2 \alpha - \sin^2 \alpha}\\\\\\=\dfrac{-(\sin^2 \alpha + \cos^2 \alpha)}{\cos 2 \alpha}\\\\\\=-\dfrac{1}{\cos 2 \alpha}\\[/tex]
[tex]=-\left(\dfrac{1}{\tfrac{1- \tan^2 \alpha}{1 + \tan^2 \alpha}} \right)~~~~~~~~~~~~~~~~~~; \left[\cos 2\theta = \dfrac{1 - \tan^2 \theta}{1+ \tan^2 \theta} \right]\\\\\\\ = -\left(\dfrac{1+ \tan^2 \alpha}{1- \tan^2 \alpha}\right)\\\\\\= \dfrac{1+\tan^2 \alpha}{\tan^2 \alpha -1}[/tex]
This is a math question from highschool (LOOK AT PICTURE)
Answers
Answer: The answer is 12q-1/2
Step-by-step explanation:
If you start with 85 milligrams of Chromium 51, used to track red blood cells, which
has a half-life of 27.7 days.
How long will it take for 90% of the material to decay?
Answers
About 92 days are taken for 90 % of the material to decay.
The mass of radioisotopes ([tex]m[/tex]), measured in milligrams, decreases exponentially in time ([tex]t[/tex]), measured in days. The model that represents such decrease is described below:
[tex]m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }[/tex] (1)
Where:
[tex]m_{o}[/tex] - Initial mass, in milligrams.[tex]m(t)[/tex] - Current mass, in milligrams.[tex]\tau[/tex] - Time constant, in days.In addition, the time constant is defined in terms of half-life ([tex]t_{1/2}[/tex]), in days:
[tex]\tau = \frac{t_{1/2}}{\ln 2}[/tex] (2)
If we know that [tex]m_{o} = 85\,mg[/tex], [tex]t_{1/2} = 27.7\,d[/tex] and [tex]m(t) = 8.5\,mg[/tex], then the time required for decaying is:
[tex]\tau = \frac{t_{1/2}}{\ln 2}[/tex]
[tex]\tau = \frac{27.7\,d}{\ln 2}[/tex]
[tex]\tau \approx 39.963\,d[/tex]
[tex]t = -\tau \cdot \ln \frac{m(t)}{m_{o}}[/tex]
[tex]t = -(39.963\,d)\cdot \ln \frac{8.5\,mg}{85\,mg}[/tex]
[tex]t\approx 92.018\,d[/tex]
About 92 days are taken for 90 % of the material to decay.
We kindly invite to check this question on half-life: https://brainly.com/question/24710827
Make n the subject of the formula
m = 5 n - 21
-----------------------------------------------------------
Can someone please help and explain!!
Incorrect or incomplete answers will be reported
Answers
Answer:
[tex] \mathsf{ \frac{m + 21}{5} = n }[/tex]
Step-by-step explanation:
To make "n" the subject of the formula, rearrange the formula so it begins with " n = "
To isolate the variable "n", you need to inverse the other terms on that side of the equation where "n" really is.
=> m = 5n - 21
there's a "-21" next to "5n", inverse of subtraction is addition, so add 21 on both sides of the equation.=> m + 21 = 5n - 21 + 21
=> m+ 21 = 5n
There's also a 5 attached to n, that means the multiplication of n with 5, the inverse of multiplication is division, so dividing both sides of the equation by 5[tex] \mathsf{ \frac{m + 21}{5} = n }[/tex]
Find the quotient. Use a model to help you divide
6
.
15
÷
5
=
A.
1.03
B.
1.23
C.
1.3
D.
1.2
Answers
Answer:
Step-by-step explanation:
6.15/5=1.23
The answer is B.
Find the value of x and 3x.
x=
3x=
Answers
Answer:
Step-by-step explanation:
Sum of all the angles of the polygon = (n -2) *180
= (6 - 2) * 180 = 4 *180 = 720
45 + 135 + 45 + 135 + x + 3x = 720
360 + 4x = 720
4x = 720 - 360
4x = 360
x = 360/4
x = 90
3x = 3*90 = 270
Solve the system by substitution. x=-y-9 6x-5y=1
Answers
Answer:
x= -64, y= 55
Step-by-step explanation:
x=-y-9
6(y-9)-5y=1
6y-54-5y=1
y=55
x=-55-9
x=-64
Answer:
{x=-4
{x= -5
Step-by-step explanation:
Substitute into one of the equations:6(- y -9) - 5y=1
Apply Multiplicative Distribution Law:- 6y-54-5y=1
Rearrange unknown terms to the left side of the equation:-6y -5y = 1+54
Combine like terms:- 11y= 1+54
Calculate the sum or difference:-11y=55
Divide both sides of the equation by the coefficient of variable:y= 55÷(-11)
Remove the parentheses:y = -55÷11
Calculate the product or quotient:y=-5
Substitute into one of the equations:x=-(-5)-9
Remove the parentheses:x=5-9
Calculate the sum or difference:x=-4
The solution of the system is:{x=-4
{x=-5.
Evaluate.
(−1/3+0.3(−1/3)+1)2
What is the value of the expression?
Enter your answer as a simplified fraction in the box.
Answers
Answer: 1.133333
Step-by-step explanation:
The value of the expression [tex]\frac{17}{15}[/tex] .
What is simplification?Simplification means simplifying processes involved in work towards consistency of efforts, costs and time. Fraction questions in mathematics frequently require lengthy calculations and complicated sums. Some pupils find it more challenging and require more time to solve. But don't worry—there is a solution for you in this article on math simplification. It will assist you in finding simple ways to simplify fractions. You'll discover what simplification is, how and where to simplify fractions, and the procedures involved in simplifying fractions in this article. Additionally, you'll learn the exact steps to take.
Here, do normal simplification using BODMAS rule.
Hence, the required value is [tex]\frac{17}{15}[/tex]
Learn more about simplification from given link
https://brainly.com/question/432678
#SPJ2
A garden swimming pool with a cuboidal shape is 8m long, 4m wide and 150 cm deep. The pool which is partially filled has 40m cube of water in it
Answers
ryan lives 3 1/4 miles from school. kayla lives 2 3/4 miles from school. how much farther from school does ryan live than kayla?
Answers
(0, 6) and (2, 96) in exponential function
Answers
Answer:
If one of the data points has the form \displaystyle \left(0,a\right)(0,a), then a is the initial value. Using a, substitute the second point into the equation \displaystyle f\left(x\right)=a{\left(b\right)}^{x}f(x)=a(b)
x
, and solve for b.
If neither of the data points have the form \displaystyle \left(0,a\right)(0,a), substitute both points into two equations with the form \displaystyle f\left(x\right)=a{\left(b\right)}^{x}f(x)=a(b)
x
. Solve the resulting system of two equations in two unknowns to find a and b.
Using the a and b found in the steps above, write the exponential function in the form \displaystyle f\left(x\right)=a{\left(b\right)}^{x}f(x)=a(b)
x
.
Step-by-step explanation:
A line's y-intercept is –9, and its slope is 1/6 .What is its equation in slope-intercept form?
Answers
Answer:
y = 1/6x - 9
Step-by-step explanation:
The slope-form intercept formula is y = mx + b
can someone help please :)
Answers
I need 30 please thank you
Answers
Answer:
ok good morning
have a nice day
Step-by-step explanation:
#toxicsquad
Answer:
i think its 7, but you should probably check that...
Grade 7 students were surveyed to determine how many hours a day they spent on various activities. The results are represented in the circle graph below. About how much time altogether was spent on homework and eating?
Can Someone Help me please
Answers
Answer:
As no graph is provided you can only solve it.Steps provided below
Graph of 7students so there must be 7 partsMark the point on graph where home work and painting is mentioned.Add both the respective valuesYes you have done it
60
Compare
a 15% of 17 and 17% of 15
b
1.2% of 48 and 12% of 480
с
147% of 621 and 125% of 549
80% of a and 40% of 2a
f
36% of 2.5b and 1.5% of 80b
Answers
Answer:
a=2.55
b=0.576
c=912.87
f=2.295
Step-by-step explanation:
=15/100*17
=2.55
=17/100*15
=2.55
=1.2/100*48
=0.576
=12/100*480
=57.6
=147/100*621
=912.87
=125/100*549
=686.25
=80/100*2.55
=2.04
=40/100*2a
=40/100*(2*2.55)
=0.4*(5.1)
=2.04
=36/100*2.5(2.55)
=0.36*6.375
=2.295
=1.5/100*80(2.55)
=0.015*(204)
=3.06
Pls answer this and explain!
Answers
Answer:
Well if you add up all 3 angles in a triangle you’d get 180 degrees as the answer.
So we can. Jus substitute.
For number 19 you can do this
57+x+x+87+50=180
Now combine like terms
194+2x=180
Now solve
x=-7
Now we can subsitute that into angle A
57+ (-7) which is 50
Measure of angle A is 50.
For number 19 it’s the same thing.
9x+14+16x-4+80=180
Now combine like terms
25x+90=180
Solve
25x= 90
x= 3.6
Now subsitue for A
3.6*9+4 which is 36.4
A is 36.4
Rachel's water bottle holds 4 cups of water. How many times can she fill her water bottle from a 1-gallon jug of water?
Answers
Answer:
4 times
Step-by-step explanation:
there is 16 cups of water in a gallon
16/4=4
4 quarts = 8 pints
8 pints = 16 cups
So 1 gallon = 16 cups of water
Which of the following is another way to express the difference between -5 and 8?
O-5+8
O-5-(-8)
O-5+(-8)
08-5
Answers
Which statement about perfect cubes is true?
a:25 is a perfect cube because 25 = 5 + 5 + 5 + 5 + 5
30 is a perfect cube because 30 = 3 times 10
512 is a perfect cube because 512 = 8 times 8 times 8
1,875 is a perfect cube because 1,875=25 times 25 times 3
Answers
V = s^3 = 8^3 = 512cm^3 True.
Answer:
every answer:
A
B
B
B
B D E
A
C
C
C
D
Step-by-step explanation:
i got 100% on Edg
Can someone please help me solve this please
Answers
Step-by-step explanation:
j(x) = 2x + 9
=> 2x + 9 = j(x)
=> 2x = j(x) - 9
=> x = [j(x) -9] / 2 = [67 - 9] / 2 = 58 / 2 = 29
How many arrangements can be made from the letters in the word PICCOLO
Answers
Answer:
1260Step-by-step explanation:
This is a permutation of 7 letters with double O and double C:
7!/2!2! = 5040/4 = 1260P = 1
I = 1
C = 2
O = 2
L = 1
--------
Total (n) = 7(k) = 2(C), 2(O)p = N! ÷ k!
p = 7! ÷ 2!2!
p = 5,040 ÷ 4
P = 1,260
Given: \overline{AE} \parallel \overline{FD},
AE
∥
FD
, \overline{BF} \parallel \overline{EC}
BF
∥
EC
and \overline{AC} \cong \overline{BD}.
AC
≅
BD
.
Prove: \triangle AEC \cong \triangle DFB△AEC≅△DFB.
needed 3 prove (angle/slide)
Answers
Answer:
See below for answer.
Step-by-step explanation:
∠ECB ≅ ∠FBC Parallel lines cut by a transversal form congruent alternate
interior angle
Δ AEC ≅ Δ DFB ASA
What is the value of x in (2/3)x=4/9?
Answers
Answer:
The value of x would be 2/3
Answer:
the answer for x is 2
Step-by-step explanation:
find the gcf and the distributive property to each sum.19,22
Answers
Answer:
50 is sum of gcf its couldn't of 19 is 20
The diagram below shows two triangles.
Based on the diagram, which statements are true?
Select three that apply.
(Select all that apply.)
The two triangles are congruent since all isosceles right
triangles are congruent.
The two triangles are congruent since the corresponding
sides and angles are congruent.
The two triangles are congruent since a rotation can carry one
triangle onto the other triangle.
The two triangles are congruent since a reflection can carry
one triangle onto the other triangle.
Answers
Answer:
1st , 2nd , and 4th
Step-by-step explanation:
I will give brainliest
Answers
Answer:
His average monthly payment is $730.83
Step-by-step explanation:
700+650+750+760+785+880+700+725+700+750+720+650=8,770
8,770/12 = 730.83
If x = -7 and y = 2, evaluate the following expressions
i) (4y)² – (2x)²
ii) 4y² - 2x²
Answers
Answer:i)16y^2−4x^2
ii) i don't know the other one sorry
Step-by-step explanation:
A car moving at a constant speed passed a timing device at t = 0. After 6 seconds, the car has traveled 534 ft. Write a linear function rule to model the distance in feet d the car has traveled any number of seconds t after passing the timing device.
Answers
Answer:
d = 89t
Step-by-step explanation:
d = distance --- t = timing device --- x = speed or feet per x
d = tx
linear equation from this (SOLVE) --> 534 = 6x ---> 89 = x
linear equation --> d = 89t
Answer:
[tex]f(x)=89x[/tex]
Step-by-step explanation:
With the given information, you have 2 points.
1. (0, 0)
2. (6, 534)
With 2 points, you can calculate the slope of the linear function.
[tex]m=\frac{y2-y1}{x2-x1} \\m=\frac{534-0}{6-0} \\m=\frac{534}{6} \\m=89[/tex]
Finally, you can write a function:
[tex]f(x)=mx+b[/tex]
No need to calculate the y-intercept as thats already given in point (0, 0).
[tex]f(x)=89x+0\\f(x)=89x[/tex]