What is the measure of the unknown angle?
Answer:
55 degrees is the measure of the unknown angle
How do I solve this problem?
Answer:
21, 18, 15
Step-by-step explanation:
First term = a1
Second term = a2
Third term = a3
a1 = 21
a2
= a + d
= 21 - 3
= 18
a3
= a + 2d
= 21 + 2 ( - 3 )
= 21 - 6
= 15
The first 3 terms are 21, 18, 15.
Classify this triangle by its sides.
Step-by-step explanation:
The answer is scalene triangle
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
What is the value of x if 2x - 3 = 15?
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:
please help
The lines shown below are parallel. If the green line has a slope of 3, what is
the slope of the red line?
A. -3
B. 3
C. 1/3
D. -1/3
Answer:
- 3
Step-by-step explanation:
ap ex
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.
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]
hi! please help i’ll give brainliest
Answer:
give brainliest
Step-by-step explanation:
then i help
You start at (5, 4). You move left 3 units and up 4 units. Where do you end
Answer:
21
Step-by-step explanation:63
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
In a standard deck of card there are 52 cards total. Find the number of possible 5 hand cards that contain 3 queens and 2 kings.
Answer:
The probability of choosing 3 kings and 4 queens out of the 8 (4+4) kings and queens is given by 0.42857
Step-by-step explanation:
There are 4 queens and 4 kings in a deck of 52 cards. So we have to choose 5 cards having 3 queens and 2 kings out of the 52
Therefore the combinations can be written like this 8C5= 56 ways
And the probability this can be chosen is given by
4C3*4C2/8C5
=4*6/56
=24/56
=0.42857
The probability of choosing 2 kings and 3 queens out of the 8 (4+4) kings and queens is given by 0.42857 or 24/56
please help! answer correct for 10 points and brainliest.
Answer:
14 square cm Should be the answer, plz do correct me if im wrong!!
Step-by-step explanation:
The right side which is triangle is 2x3 is 6 but because there is only half 6/2
it is 3!
Th middle portion which is square is 2 to the 4th power or 2x2x2x2 or just 2x4(2^4)!! Which is 8!
Finally the last triangle is the same as the first 3
8+6(the to triangles 3+3)=14
Mark brainliest plz, it was nice helping you if im wrong plz tell me immdiately i dont want to cause any problems good day ;)
What is the slope of a line through (-2,5) and (4,6)?
Answer:
1/6
Step-by-step explanation:
y2 - y1 / x2 - x1
6 - 5 / 4 - (-2)
1 / 6
1/6
Im confused about this question
Answer:
F
you have to set it up as an equation then solve
Set end gulf g if NC gba has 4th s 3 eggs $"4 runs they've eggs her Seth w if rid the ms has hehe he na na
h(v)=5v2–28v+11, use synthetic division to find h(4).
Answer:
h(4)=-21
Step-by-step explanation:
h(v)=5x^2-28v+11
h(4)=5(4)^2-28(4)+11
h(4)=5(16)-112+11
h(4)=80-101
h(4)=-21
If this helps please mark as brainliest
Bob works at a construction company. He has an equally likely chance to be assigned to work different
crews everyday. He can be assigned to work on crews building apartments, condominiums, or houses. If
he works 21 days a month, about how many times should he expect to be assigned to the condo crew?
times out of 21 days.
Bob can expect to be assigned to the house crew about
Charlie combined 4quarts of sparkling water with 2 gallons 1 quart of apple juice.Which tells the amount of drink he made?
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]
Help ASAP! It’s due and thanks
Answer:
C
Step-by-step explanation:
It can't be B or D, because there is only a difference in the X axis (Meaning it goes either left or right)
It can't be A because 2 is less than 11, so (2, -1) would be left 9 units in relation to (11, -1)
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
true or false dilations always increase the length of time segments
Answer:
False, The dilation could decrease as well as increase the length of figure or line segment depending on the scale factors it's being dilated by.
Hope this helps!
Please help thanks!!!
Answer:
Parallelogram
Step-by-step explanation:
I'll give brainiest just please help
Answer:
1.9
Step-by-step explanation:
just put it into he calculator, because with 3 above the square root.
Answer:
Approximately 1.9 (rounded to the nearest tenth)
Step-by-step explanation:
First, we are left off with the equation:
[tex]y^{3} = 7[/tex]
We know we want to solve for y. So, let's do the opposite of what is being done to y. In other words, let's find the cube root of [tex]y^{3} = 7[/tex].
[tex]\sqrt[3]{y^3} = \sqrt[3]{7}[/tex]
Then, the [tex]\sqrt[3]{y^3}[/tex] just simplifies to y. On the other side, we cannot find the cube root of 7 in our minds, so that is why it tell us to use a calculator. So...
y = 1.9
Therefore, the cube root of 7 is around 1.9. Hope this helps!
Choose Yes or No to tell if each statement is true.
3.072 > 3.2
728.307 > 729.07
12.040 = 12.04
531.135 < 531.315
Answer:
No, no, yes, yes
Step-by-step explanation:
3.072 is not bigger than 3.2, so incorrect (no)
728.307 is not bigger than 729.078, so incorrect again (no)
12.040 does equal 12.04, so correct (yes)
531.135 is smaller than 531.315, so correct (yes)
Can someone please help me with math.
Answer:
Vertical Angles
Step-by-step explanation:
Hope this helps
john bought 3 1/2meters of wire it he used 1 5/6 meters in wire a job how many meters of qire was leftover
Answer:
1 (2/3)meter
Step-by-step explanation:
3(1/2) = 7/2 = 21/6
1(5/6) = 11/6
21/6 - 11/6 = 10/6 = 5/3 = 1 (2/3)
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
Simplify for me please
Answer:
9y^4
Step-by-step explanation
i believe you just add 6yand 3y
hope this helps :)
if this is a test wait for someone else to confirm just to make sure