12. Solve for x. (6x-21) P Q T S R
Answer:
x=4
Step-by-step explanation:
since its a square, the diagonals cut the right angle in half, so 45
6x - 21 = 45
6x = 24
x=4
i need this done rn plz help
Answer:
answer for yes total, is 5, the answer for no total is 20, the total for junior is 17, and the total for senior is 8.
Step-by-step explanation:
What you do is you add the 2 values. for example, to find the total for the juniors, you would add 1 to 16.
c(n) = -6(-1/3)^n-1 Which is the 2 or term of the succession?
Answer:
the first term will be n=1 and the second term is n=2
Step-by-step explanation:
Hope this is Helpful! :)
Have a nice day!
A machine pumps 8.4 gallons of water every 3.2 minutes.
How many gallons does the machine pump each minute?
Answer:
2.625 gallons per minute
Step-by-step explanation:
8.4/3.2=2.625
Which statements apply to the expression (3/5^3) cubed? Check all that apply.
Answer:
The true statements are
3/5 is the base
3 is the exponent
(3/5)³ = 3/5 × 3/5 × 3/5
(3/5)³ = 27/125
Step-by-step explanation:
Let a and b be any integer, given the expression;
[tex]a^b[/tex]
a is the base
b is the exponent
Similarly if we have;
[tex]a^3[/tex]
This means we can multiply a in three places as shown;
[tex]a^3 = a \times a \times a[/tex]
Applying this to the given expression
[tex](\frac{3}{5} )^3 = \frac{3}{5} \times \frac{3}{5} \times \frac{3}{5} \\Also\\(\frac{3}{5} )^3 = \frac{3 \times 3 \times 3}{5 \times 5 \times 5} \\(\frac{3}{5} )^3 = \frac{27}{125}[/tex]
The base value will be 3/5 and the exponent is 3
Simplify the expression using long division.
(412 - 13x - 4)+(-2)
A. quotient 4x - 13 and remainder 2 B, quotient 4x - 5 and remainder-6
C. quotient 4x +5 and remainder 6 D. quotient 4x - 5 and remainder
Colton has a stone paperweight composed of a triangular pyramid on top of a triangular
prism with the dimensions shown below. Use the drop-down menus to explain how to
determine the volume of the paperweight.
Answer:
1/2 * 5 * 5
4
1/3, 7
79 in³
Step-by-step explanation:
The area of the base : base is shaped like a triangle ;
Area of triangle = 1/2 base * height :
Base and height = 5
Area of base = 1/2 * 5 * 5 = 12.5 in²
Volume of triangular prism = Area of base * height
Volume of triangular prism = 12.5 * 4 = 50 in³
For the triangular pyramid :
Area of base * height of pyramid *1/3
12.5 * 7 * (1/3) = 29.17
The volume of the paperweight :
Volume of triangular pyramid + volume of triangular prism
29.17 + 50
79.17 = 79 in³
What is the measure of the unknown angle?
Answer:
55 degrees is the measure of the unknown angle
Line BC is a tangent line to the circle centered at A. If angle BAC is 64 degrees, what is the
measure of angle ACB? Explain/show your reasoning.
Answer:
Here.
Step-by-step explanation:
Step-by-step explanation:
BC is tangent to the circle at point B.
Therefore, by tangent-radius theorem:
Step-by-step explanation:
BC is tangent to the circle at point B.
Therefore, by tangent-radius theorem:
Please help thanks!!!
Answer:
Parallelogram
Step-by-step explanation:
20 points.
Find the area of a right triangle whose hypotenuse is 20 units long and the altitude drawn from the Right angle divides the hypotenuse into 5 units and 15 units.
Step-by-step explanation:
the height of the triangle = √(5×15)= √75
=5√3 units
the base of triangle= 20 units
so, the area = ½×20×5√3= 50√3 units
or 86.60 units
a debt that the company or entity enters into with the investors that pays the investors interest on that debt is refer as
Answer:
dividend,
Step-by-step explanation:
Find the angle of depression
from point A to point C.
669
5 mi
B
O
Angle of depression = [ ? jº
Enter
Answer:
Step-by-step explanation:
From B on the ground straight up to A and then turn the corner to follow the dotted line...that is a 90 degree angle. So in order to find the angle of depression, subtract 66 from 90 to get 24 degrees. Subsequently, that is also the angle of elevation (the base angle inside the triangle) due to parallel lines and whatnot.
Ana can bike 9 kilometers in 24 minutes. At this rate, how far can Ana bike in 1 minute? __ kilometer(s) per minute
Answer: 9/24km
Step-by-step explanation:
Since we are informed that Ana can bike 9 kilometers in 24 minutes.
To calculate the distance that Ana can bike in 1 minute will be gotten by dividing the distance covered divided by the time taken. This will be:
= 9/24 km
Therefore, Anna can bike 9/24km in 1 minute.
please help and show work
Answer:
Step-by-step explanation:
3) JH is the length of the radius
def. of midpoint
def. of < bisector
4) The missing length is 15
Given a=8 and c=17,
b = 30
∠α = 28.072° = 28°4'21" = 0.48996 rad
∠β = 61.928° = 61°55'39" = 1.08084 rad
area = 60
perimeter = 40
h =
120
17
= 7.0588235294118
Item 7
△ABC has vertices A(−1, 2), B(2, 8), and C(4, 1). Find the measure of each angle of the triangle. Round decimal answers to the nearest tenth.
Answer:
[tex]A = 74.7^\circ[/tex]
[tex]B = 42.5^\circ[/tex]
[tex]C = 62.8^\circ[/tex]
Step-by-step explanation:
Given
[tex]A = (-1,2) \to (x_1,y_1)[/tex]
[tex]B = (2,8) \to (x_2,y_2)[/tex]
[tex]C = (4,1) \to (x_3,y_3)[/tex]
Required
The measure of each angle
First, we calculate the length of the three sides of the triangle.
This is calculated using distance formula
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2[/tex]
For AB
[tex]A = (-1,2) \to (x_1,y_1)[/tex]
[tex]B = (2,8) \to (x_2,y_2)[/tex]
[tex]d = \sqrt{(-1 - 2)^2 + (2 - 8)^2[/tex]
[tex]d = \sqrt{(-3)^2 + (-6)^2[/tex]
[tex]d = \sqrt{45[/tex]
So:
[tex]AB = \sqrt{45[/tex]
For BC
[tex]B = (2,8) \to (x_2,y_2)[/tex]
[tex]C = (4,1) \to (x_3,y_3)[/tex]
[tex]BC = \sqrt{(2 - 4)^2 + (8 - 1)^2[/tex]
[tex]BC = \sqrt{(-2)^2 + (7)^2[/tex]
[tex]BC = \sqrt{53[/tex]
For AC
[tex]A = (-1,2) \to (x_1,y_1)[/tex]
[tex]C = (4,1) \to (x_3,y_3)[/tex]
[tex]AC = \sqrt{(-1 - 4)^2 + (2 - 1)^2[/tex]
[tex]AC = \sqrt{(-5)^2 + (1)^2[/tex]
[tex]AC = \sqrt{26[/tex]
So, we have:
[tex]AB = \sqrt{45[/tex]
[tex]BC = \sqrt{53[/tex]
[tex]AC = \sqrt{26[/tex]
By representation
[tex]AB \to c[/tex]
[tex]BC \to a[/tex]
[tex]AC \to b[/tex]
So, we have:
[tex]a = \sqrt{53[/tex]
[tex]b = \sqrt{26[/tex]
[tex]c = \sqrt{45[/tex]
By cosine laws, the angles are calculated using:
[tex]a^2 = b^2 + c^2 -2bc \cos A[/tex]
[tex]b^2 = a^2 + c^2 -2ac \cos B[/tex]
[tex]c^2 = a^2 + b^2 -2ab\ cos C[/tex]
[tex]a^2 = b^2 + c^2 -2bc \cos A[/tex]
[tex](\sqrt{53})^2 = (\sqrt{26})^2 +(\sqrt{45})^2 - 2 * (\sqrt{26}) +(\sqrt{45}) * \cos A[/tex]
[tex]53 = 26 +45 - 2 * 34.21 * \cos A[/tex]
[tex]53 = 26 +45 - 68.42 * \cos A[/tex]
Collect like terms
[tex]53 - 26 -45 = - 68.42 * \cos A[/tex]
[tex]-18 = - 68.42 * \cos A[/tex]
Solve for [tex]\cos A[/tex]
[tex]\cos A =\frac{-18}{-68.42}[/tex]
[tex]\cos A =0.2631[/tex]
Take arc cos of both sides
[tex]A =\cos^{-1}(0.2631)[/tex]
[tex]A = 74.7^\circ[/tex]
[tex]b^2 = a^2 + c^2 -2ac \cos B[/tex]
[tex](\sqrt{26})^2 = (\sqrt{53})^2 +(\sqrt{45})^2 - 2 * (\sqrt{53}) +(\sqrt{45}) * \cos B[/tex]
[tex]26 = 53 +45 -97.67 * \cos B[/tex]
Collect like terms
[tex]26 - 53 -45= -97.67 * \cos B[/tex]
[tex]-72= -97.67 * \cos B[/tex]
Solve for [tex]\cos B[/tex]
[tex]\cos B = \frac{-72}{-97.67}[/tex]
[tex]\cos B = 0.7372[/tex]
Take arc cos of both sides
[tex]B = \cos^{-1}(0.7372)[/tex]
[tex]B = 42.5^\circ[/tex]
For the third angle, we use:
[tex]A + B + C = 180[/tex] --- angles in a triangle
Make C the subject
[tex]C = 180 - A -B[/tex]
[tex]C = 180 - 74.7 -42.5[/tex]
[tex]C = 62.8^\circ[/tex]
Using the graph, determine the coordinates of the roots of the parabola.
Answer:
(7, 0) and (3,0)
Step-by-step explanation:
On the graph, the parabola crosses the x-axis at two points. The two points are called the roots. And since they cross at (7, 0) and (3, 0), they are our roots. Hope this helps!
Answer:
-7 and -3
Step-by-step explanation:
Hello!
The roots of a parabola are the points at which the graph intersects the x-axis. The x-axis is located at y = 0.
As you can see, the graph's vertex is below the x-axis and opens upwards. This means the graph has 2 roots.
The points of intersection are:
(-7,0)(-3,0)The roots of the parabola are -7 and -3.
help please ill give you brainliest if it’s right
Answer:
[tex] \frac{1 }{3} \times \pi \times {4}^{2} \times 10 + \frac{1}{2} \times \frac{4}{3} \times \pi \times {4}^{3} = 6 \times \pi \times {4}^{2} = 301.44[/tex]
hi! please help i’ll give brainliest
Answer:
give brainliest
Step-by-step explanation:
then i help
Find the area of a triangle with base of 10 inches and a height of 5 inches.
100 square inches
B 50 square inches
C) 25
square inches
D 12.5 square inches
Answer:
25 square inches
Step-by-step explanation:
just divide your base by 2 and then multiply it by the height
for the bud to see... and one person to get poi.nts XD
so addison got banned yesterday but got her account back today and then drake got banned today
Answer:
WHAT!? THEY BOTH GOT BANNED?! HOW
What is the value of x if 2x - 3 = 15?
pls answer with equation
Answer:
127°
Step-by-step explanation:
171+62+127=360
Answer:
x=127°
Step-by-step explanation:
x+171° +62=360°
x=360°-(171°+62°)
x=127°
Can you plz help me!!!!!!!!!!!!!!!!!!!!!!!
Answer:
10 ft
Step-by-step explanation:
This is the Pythagorean theorem. a²+b²=c².
8²=64
6²=36
Now we add 64+36=100. Square root 100 to get 10 ft. (The answer is squared before so we have to square root it)
solve the inequality for x
2x+5<5x-4
Answer:
x is greater than 3
Step-by-step explanation:
Answer:
2x + 5 < 5x - 4
5 + 4 < 5x -2x
9 < 3x
3 < x
what times twelve is exactly 30
the answer is most likely a mixed number
Answer:
2.5 or 2 and 1/2
Step-by-step explanation:
30/12 = 2.5
There are two wholes that fit in 30 with a remainder of half of a whole.
2.5 translates to 2 and 1/2
Answer:
Hello! answer: 2½
Step-by-step explanation:
Assuming you mean mixed number as in fraction I did 30 ÷ 12 = 2.5 and converted it to a mixed number and since 2½ × 12 = 30 the answer is 2½ Hope that helps!
i have a geometry question.
Answer:
Step-by-step explanation:
You already have the area for your triangle. Substract that from the entire area of the rectangle.
To get the area of the rectangle, multiply the length by the height.
15*20 = 300
Now substract your triangle from that :)
math question please help
Answer:
a. 4
b. 132
Step-by-step explanation:
Plugg in the equation in desmos graphing calculator and the find the vertex to find the answer.
(Are you doing this in pearson?)
What is -61=8-1/3(12w+42)-w
If you don't know do not answer
MUST SHOW WORK!!!!!
Answer:
w = 11
Step-by-step explanation:
In photo
The population of a swarm of killer bees multiplies
10 fold in 50 days. Determine the correct
expression to calculate the number of bees after t
days if the initial swarm had 1000 bees.
Answer:
The correct expression to calculate the number of bees after t days if the initial swarm had 1000 bees is [tex]P = 1000 *e^{0.2*t}[/tex]
Step-by-step explanation:
Given -
The population of a swarm of killer bees increases by 10 times in 50 days
The rate of increase of population is [tex]r = \frac{10}{50} = 0.2[/tex] per day
As we now the equation of population projection is
[tex]P= P_0 *e^{rt}\\[/tex]
Where P0 = initial population
P is the population after time t
and r is the rate of increase of population
Substituting the given values in above equation, we get -
[tex]P = 1000 *e^{0.2*t}[/tex]