tan:opposite/adjacent
tan(x)=32/21
tan^-1(32/21)=x
x=56.7
Tell whether the angles are adjacent or vertical. Then find the value of x.
Answer:
They are vertical
x=32.5
Step-by-step explanation:
75 + 4x-25 = 180
4x = 180+25-75
4x=130
x=32.5
5 points A farmhouse shelters 10 animals. Some are goats and some are ducks. Altogether there are 36 legs. How many ducks and goats are there?
Answer:
2 ducks and 8 goats
Step-by-step explanation:
let goat be g
let duck be d
d + g = 10
ducks have 2 legs, 2d
goats have 4 legs, 4g
2d + 4g = 36
making d the subject in the first equation;
d = 10 - g
put in second equation
2(10 - g) + 4g = 36
20 -2g + 4g = 36
2g = 36 - 20
2g = 16
g = 8
if g is 8
d = 10 - 8
d = 2
Can someone help me with this question? Explanations would be nice. Question: Right ΔKLM with m∠J= 45°, leg JK= 4√3
(Question was resubmitted because of misspelling.)
Answer:
Step-by-step explanation:
M,p, and z represent the lengths of the three sides of this right triangle. Select all the equations that represent the relationship between m,p, and z .
Answer:
The equations are:
[tex]m^2 = p^2 + z^2[/tex] [tex]m^2 = z^2 + p^2[/tex]
[tex]z^2 + p^2 = m^2[/tex] [tex]p^2 + z^2 = m^2[/tex]
Step-by-step explanation:
Given
See attachment for triangle
Required
Select all true equations
From the attachment:
[tex]m = hypotenuse[/tex]
[tex]p\ and\ z = other\ legs[/tex]
Using Pythagoras theorem:
[tex]m^2 = p^2 + z^2[/tex]
This can be rewritten as:
[tex]m^2 = z^2 + p^2[/tex]
or
[tex]z^2 + p^2 = m^2[/tex]
or
[tex]p^2 + z^2 = m^2[/tex]
finf the total surface area of a cylinder with a base radius of 5 inches and a height of 5 inches
Answer:
314.16
Step-by-step explanation:
The formula is A=2πrh+2πr2, you just plug in the numbers
I hope this helps :)
What is the solution to this system of equations?
6.2
-
3y = 12
y = 2x
- 4
Answer:
sorry
Step-by-step explanation:
i don't understand your question
3(4x+6)=x-4
Solve the question and what property did you use?
Answer:
x = -2
Step-by-step explanation:
An insect is standing next to a flower. The insect is 1 cm tall and makes a shadow of 0.5 cm. If the flower makes a 15-cm shadow, how tall is the flower?
Answer:
30 cm
Step-by-step explanation:
set up a proportion of insect height over its shadow equals flower height over its shadow, then cross-multiply
1/.5 = x/15
.5x = 15
x = 30
Which of the following functions has a graph with a vertex that is a translation 5 units horizontally to the right of the vertex of the graph of g(x) = (x + 2)2 + 2?
Answer:
g(x) = (x -3 )^2 + 2
Step-by-step explanation:
f(x) = (x + 2)^2 + 2
We want to shift this 5 units to the right
The parabola is written in the form
y = a(x-h) ^2 +k where (h,k) is the vertex
The vertex is at ( -2, 2)
We want to shift it 5 units to the right
-2+5 = 3
g(x) = (x -3 )^2 + 2
Answer:
g'(x) = (x-3)² + 2
Step-by-step explanation:
g'(x) = (x+2 - 5)² + 2
HELP ASAP ME PLS I GIVE BRAINLY
i think D all equivalent I'm not sure but I hope that helped you.
Please I will give brainliest
Answer:
The answer is 91 bags.
Step-by-step explanation:
You divide 45.5 by 0.5
I need the answer for the question -4(x-10)+8 for my homework please.
Answer:
i think the answer is
-4x+48
A construction company can remove 3/3/4 metric tons of dirt from a construction site in 1/1/8 hours what is the unit rate in metric tons per hour write your answer as a fraction or a mixed number in simplest form
Answer:
3 1/3 metric tons per hour
Step-by-step explanation:
To find the unit rate, divide 3 3/4 metric tons by 1 1/8 hours (notice that the correct format is 3 3/4, not 3/3/4).
3 3/4 metric tons 3.75 metric tons
---------------------------- = --------------------------
1 1/8 hours 1.125 hours
It's easier to deal with decimal fractions here than with proper fractions.
The unit rate then comes out to be 3.75/1.125 metric tons per hour, or
3.33333 metric tons per hour, or 3 1/3 metric tons per hour
All corners shown are right angles. 2 in. 3 in. 3 in. 2 in. 4 in. 4 in. 2 in. 10 in What is the perimeter of the shape? O A. 28 in. B. 30 in. OC C. 38 in. O D. 42 in.
Answer: 30
Step-by-step explanation:
Simplify
x(2x + 3) + (x - 3)(x - 4)
Answer:
3x^2-4x+12
Step-by-step explanation:
x(2x+3)+(x-3)(x-4)
2x^2+3x+x^2-3x-4x+12
2x^2+x^2+3x-3x-4x+12
3x^2-4x+12
Answer:
3x² -4x + 12
Step-by-step explanation:
x(2x + 3) + (x - 3)(x - 4)
= 2x² + 3x + x² - 4x -3x + 12
= 3x² -4x + 12
2 · y - 8 ÷ 4 when y = 7
Answer:
12
Step-by-step explanation:
Answer:
Step-by-step explanation:
Plugin y = 7 in the expression
y - 8 ÷ 4 = 7 - 8÷ 4 { here division has to be done first as per PEDMAS}
= 7 - 2
= 5
Arianna invests $2,000 into an ETE which earns 2% per year. In 10 years, how much will Arianna's investment be worth if interest is compounded monthly? Round to the nearest dollar. Workspace V 3 < TI
Answer:
$2040
Step-by-step explanation:
What is the volume of Alina’s model in cubic centimeters
how do you do: -x-x-3x+2-5 ?
Answer:
=−5x−3
Step-by-step explanation:
Let's simplify step-by-step.
−x−x−3x+2−5
=−x+−x+−3x+2+−5
Combine Like Terms:
=−x+−x+−3x+2+−5
=(−x+−x+−3x)+(2+−5)
=−5x+−3
brainliest please?
Find the Surface Of a rectangular prism with base of 4m by 5m and height 8m.
Answer:
184
Step-by-step explanation:
SA = 2LW + 2LH + 2WH
SA = 2(5 × 4) + 2(5 × 8) + 2(4 × 8)
SA = 2(20) + 2(40) + 2(32)
SA = 40 + 80 + 64
SA = 184
-Sienna Sushi <3
YW
3 times the difference of a number and 4 equals 12. Find the number.
Answer:
Step-by-step explanation:
9
I didn't pay attention in class for a few days and now I'm lost. if somebody could at least explain proportions I would be very thankful.
Answer:
A proportion is a comparison of two numbers that each represent the parts of a whole. Essentially, a proportion says that two fractions are the same, even if the amount is different. For example, 1/2 of 10 marbles is the same proportion as 1/2 of 50 marbles.
Step-by-step explanation:
1. Solve the simultaneous equations 3x - 2y = 4and 2x + 3y = -6 using elimination method.
Answer:
Multiply the first equation by 2
2(2x+y=5) to get 4x + 2y = 10
add the second equation 3x-2y=4
4x + 3x + 2y + -2y = 10 + 4
7x = 14
x = 2
...
Multiply the first equation by 3 and the second equation by -2 then add
3(2x+y=5) to get 6x + 3y = 15
-2(3x-2y=4) to get -6x + 4y = -8
add them
6x + -6x + 3y + 4y = 15 + -8
7y = 7
y = 1
...
x = 2 , y = 1
(2, 1) is the solution
...
check
2(2) + 1 = 5
4 + 1 = 5
5 = 5
Correct
Hope it helps
Please mark me as the brainliest
Thank you
glencoe geometry unit 9: whoever can answer the page gets 100 points and brainliest
Step-by-step explanation:
14. K' = x + a, y + b
= -1 + 2, 6 + 3
K' = 1, 9
K" = (x, y) → (-x, y)
= (1, 9) → (-1, 9)
K" = -1, 9
15. D. Octagon
Since it has 8 angles, of 360 ° is divided by 8 angles, then each corner has an angle of 45 °
16. P' = x + a, y + b
= -2 + 6, 4 + 5
P' = 4, 9
17. H' = x + a, y + b
= 5 + 10, 4 + (-11)
= 15, -7
18. A (6, -1)
A' = (x, y) → (x, -y)
= (6, -1) → (6, -(-1)
= 6, 1
19. J' = x + a, y + b
= -2 + (-3), 1 + (-3)
= -5, -2
J" = (x, y) → (x, -y)
= (-5, -2) → (-5, -(2))
= -5, -2
#CMIIW
120% of what number is 3.6?
what's the answer to
375 = 15c
Step-by-step explanation:
Given
375 = 15 c
c = 375 / 15
c = 25
Hope it will help :)❤
Solve for X. Please!!
Answer:
x = 37.5
Step-by-step explanation:
By Basic Proportionality Theorem:
[tex] \frac{x}{20} = \frac{46 - 16}{16} \\ \\ \frac{x}{20} = \frac{30}{16} \\ \\ x = \frac{20 \times 30}{16} \\ \\ x = \frac{600}{16} \\ \\ x = 37.5[/tex]
Can someone plz help me!!!
Answer:
The answer is no because 5 is greater than 3
The functions q and r are defined as follows.
q(x)=2x + 2
r(x)=-2x²-2
Find the value of r(q(2)).
Answer:
Step-by-step explanation:
[tex]r(x)=-2x^2-2\\ \\ q(x)=2x+2\\ \\ r(q(x))=-2(2x+2)^2-2\\ \\ r(q(2))=-2(2(2)+2)^2-2\\ \\ r(q(2))=-2(6^2)-2\\ \\ r(q(2))=-2(36)-2\\ \\ r(q(2))=-72-2\\ \\ r(q(2))=-74[/tex]
answer algebra 1 problem below
Answer:
Step 1: multiply
10*10=100*10=1000*10=10000
Step 2: write 1st one out.
(8*10000)
Step 3: multiply
8*10000=80000
________________-
Step 1: multiply
10*10=100*10=1000*10=10000*10=100000*10=1000000*10=10000000*10=100000000*10=1000000000*10=10000000000*10=100000000000*10=1000000000000
step2: multiply
2*100000000000=200000000000
step 3: write it out
80000*200000000000
step 4: solve
80000*200000000000=1.6 to the power of 17
Step-by-step explanation:
so your answer is
1.6 to the power of 17
that was a lot yw