Answer:
Step-by-step explanation:
3===o===2=======1========0========-1=======x-2
I know this is backwards, but the question makes the choice of which direction is plus. o represents where anna lives.
Ben should be right at -2 where the x is.
2. In AABC, m < B = 22°, m < C = 52° and a = 30. Find the length of b to the nearest tenth.
Answer:
232
Step-by-step explanation:
===========================================
Explanation:
I recommend drawing out the triangle. See below.
Notice how each lowercase letter is a side length, and the uppercase letters are angles. Also, each lowercase letter is opposite their corresponding uppercase counterpart.
side a is opposite angle Aside b is opposite angle Bside c is opposite angle CWe're given that angles B and C are 22 degrees and 52 degrees in that order. Let's use the fact that the three angles of any triangle must add to 180 to solve for angle A
A+B+C = 180
A+22+52 = 180
A+74 = 180
A = 180-74
A = 106
We do this so we can then apply the law of sines
sin(A)/a = sin(B)/b
sin(106)/30 = sin(22)/b
b*sin(106) = 30*sin(22) ....... cross multiplication
b = 30*sin(22)/sin(106)
b = 11.6910908340182 ....... which is approximate
b = 11.7
Make sure your calculator is in degree mode.
In this picture, the measure of angle theta is 1 radian.
A. True
B. False
*please include an explanation for answer*
Answer:
B
Step-by-step explanation:
A central angle of 1 radian occurs when the arc length is equal to the radius.
Here the radius is 2.5 in and the arc length is 2 in
Thus the statement is False
Write an equation that represents the line.
Use exact numbers.
the line passes point (0, -3) and (1, -5)
the slope = (-5+3) /(1-0) = -2/1 = -2
the y-intercept = -3
so, the equation : y = -2x -3
Which should equal 105° to prove that f I g?
abcd
Answer:
Step-by-step explanation:
sorry bout the poor drawing but it should be legible
Can you help me or at least guide me through writing a proof on this?
I'm a bit stuck
Answer:basically if what they want you to prove is correct say it is correct and why is it correct
Step-by-step explanation:
Show that the equation x^2−4x+y^2+6y+z^2−4=0 represents a sphere, then find its center and radius.
Step-by-step explanation:
here is the answer to thy question. Feel free to ask for more
Consider the function f(x) = -2x2 +3x-8. Determine f(k+4). Fully simplify your answer.
Answer:
f(k + 4) = -2k² - 13k - 28
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Terms/CoefficientsExpand by FOILFunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = -2x² + 3x - 8
Step 2: Evaluate
Substitute in x [Function f(x)]: f(k + 4) = -2(k + 4)² + 3(k + 4) - 8Expand [FOIL]: f(k + 4) = -2(k² + 8k + 16) + 3(k + 4) - 8[Distributive Property] Distribute: f(k + 4) = -2k² - 16k - 32 + 3k + 12 - 8Combine like terms: f(k + 4) = -2k² - 13k - 28Write 8 as the ratio of two integer
Answer:
Step-by-step explanation: 7 1 16 37
8/1 8 divided by 1
16/2 16 divided by 2
24/3 24 divided by 3 I could go on, but won't
In ΔTUV, the measure of ∠V=90°, UT = 65, VU = 56, and TV = 33. What ratio represents the cosine of ∠T?
Answer: The ratio that represents the cosine of ∠T is [tex]\frac{56}{65}[/tex]
Step-by-step explanation:
We are given:
UV = 56 units
VT = 33 units
UT = 65 units
∠V = 90°
Cosine of an angle is equal to the ratio of base and the hypotenuse of the triangle. ΔTUV is drawn in the image below.
[tex]\cos \theta=\frac{\text{base}}{\text{hypotenuse}}[/tex]
Base of the triangle is UV and the hypotenuse of the triangle is TU
Putting values in above equation, we get:
[tex]\cos \theta=\frac{UV}{TU}=\frac{56}{65}[/tex]
Hence, the ratio that represents the cosine of ∠T is [tex]\frac{56}{65}[/tex]
what's the middle number between 20 and 30?
Answer:
25
Step-by-step explanation:
you can find the middle number by solving for the mean/average
20+30=50
50/2=25
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textsf{What's the middle number between 20 \& 30?}[/tex]
[tex]\mathsf{\dfrac{20+30}{2}}[/tex]
[tex]\large\textsf{20 + 30 = \bf 50}[/tex]
[tex]\mathsf{=\dfrac{ 50}{2}}[/tex]
[tex]\large\textsf{= \bf 25}[/tex]
[tex]\boxed{\boxed{\huge\textsf{Answer: middle number between 20 \& 30 is: \bf 25}}}\\\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
use the substitution method to find the value of y in the given system of equations y=2x+5 x+y=4
Answer:
y = 13/3
Step-by-step explanation:
substitute y=2x+5 in x+y = 4
x+2x+5 = 4
3x+5=4
3x= -1
x= -1/3
substitute x= 1-/3 in x+y = 4
-1/3 +y = 4
y = 13/3
Can someone please help with 5x-4<10
Answer:
Step-by-step explanation:
5x-4<10
or, 5x<14
or, x<14/5
so, x<2.8
[tex]\displaystyle\bf 5x-4<10\\\\5x<14\\\\\boxed{x<2,8} \\\\Answer: x<2,8\quad or \quad x\in(-\infty;2,8)[/tex]
modrater give answer
if 107x = 22224446668880
Thane value of 1x
22224446668880÷107=207705109054.19
Answer:
[tex]107x = 22224446668880 \\ x = \frac{22224446668880}{107} \\ x = 0.0207705109[/tex]
An auto transport truck holds 12 cars. A car dealer plans to bring in 1,006 new cars in June and July. If an auto transport truck is filled for each delivery, except for the last one, how many full truckloads are needed and how many cars will be in the last truck?
Help pls. I give all points i have
Answer:
100 cm so .............qsuw
worth 10 points please help me ASAP!
Answer:
(-1,-1)
Step-by-step explanation:
If you multiply the x and y points of A, (-3,-3), by 1/3 then you find: (-1,-1).
pls pls help
How many solutions does the equation 3x + 6 = − 1 − 3 + 4x have?
Two
Zero
One
Infinitely many
Answer:
One
Step-by-step explanation:
This equation is not a quadratic and can be solved to get an integer solution
Answer:
Step-by-step explanation:
It can have at most 1 sensible answer. It may have zero and infinitely many
3x + 6 = - 1 - 3 + 4x Combine the right
3x + 6 = - 4 + 4x Add 4 to both sides
3x + 6 + 4 = 4x Subtract 3x from both sides
3x + 10 -3x = 4x - 3x Combine
10 = x
The only answer (1) that is possible is 10.
Traveling from City 1 to City 2, a pilot planned a southeast course along the path labeled d. Instead, a storm forced the pilot to travel 32 miles south, then 24 miles east to reach City 2. How many extra miles was the pilot forced to fly?
A. 13 mi.
B. 14 mi.
C. 16 mi.
D. 17 mi.
Answer:
C. 16 mi.
Step-by-step explanation:
This situation forms a right triangle: the distances 32 miles south and 24 miles east are the legs, and the original southeast course is the hypotenuse.
Use the pythagorean theorem, a² + b² = c² to solve for c, the length of the southeast course.
a² + b² = c²
32² + 24² = c²
1600 = c²
40 = c
So, the southeast course is 40 miles long.
Find how many miles the pilot traveled on the alternate route:
32 + 24
= 56
Find the difference in extra miles:
56 - 40
= 16
So, the pilot was forced to fly 16 extra miles.
The correct answer is C. 16 mi.
Answer:
16
Step-by-step explanation:
On Edge 2022
??????????????????????????
Answer:
Step-by-step explanation:
so they used a total of 560 units
we are next told that if the units of usage are 360 or less use the 1st formula, but there is morn than 360 units in the given amount so use the 2nd formula
0.1(x-360+54)
0.1(560-360) + 54 = monthly bill
20+54 = monthly bill
74 = monthly bill
answer D looks good
Indicate in standard form the equation of the line passing through the given points, writing the answer in the equation box below.
G(4, 6), H(1, 5)
Answer:
x-3y=-14
Step-by-step explanation:
Slope = (5-6)/(1-4) = -1/-3 = 1/3
y-intercept is,
b=6-1/3×4 = 14/3
so the equation is,
y=x/3+14/3
or, 3y=x+14
or, x-3y=-14
Answered by GAUTHMATH
Standard form the equation of the line passing through the given points is x-3y=-14
What is equation?Statement of equality between two expressions consisting of variables and/or numbers
Given points are: G(4, 6), H(1, 5)
Now,
Slope = (5-6)/(1-4)
= -1/-3
= 1/3
and y-intercept is,
b=6-1/3×4
b = 14/3
Hence, the equation is,
y=x/3+14/3
or, 3y=x+14
or, x-3y=-14
Learn more about equation here:
brainly.com/question/10413253
#SPJ2
Hi pls help
Find the volume of this sphere.
Use 3 for T.
V ~ [?]in3
V =473
1 in
Answer:
volume of the sphere=4/3πr³
=4/3×3×1³ inch³
=4 inch³
A system of equations and its solution are given below.
System A
5x-y=-11
3x-2y=-8
solution: (-2,1)
To get system B below, the second equation in system A was replaced by the sum of that equation and the first equation in system A multiplied by -2.
System B
5x-y=-11
?
A.
The second equation in system B is -7x = 14. The solution to system B will not be the same as the solution to system A.
B.
The second equation in system B is -7x = 14. The solution to system B will be the same as the solution to system A.
C.
The second equation in system B is 7x = 30. The solution to system B will be the same as the solution to system A.
D.
The second equation in system B is 7x = 30. The solution to system B will not be the same as the solution to system A.
The measures of the exterior angles of a pentagon are x', 38°, 45°,
5x", and 72. Solve for x.
Answer:
Step-by-step explanation:
sum of exterior angles of a polygon=360°
x+38+45+5x+72=360
6x=360-155=205
x=205/6=34 1/6
second question
x+3x+4x+5x+7x=360
20x=360
x=360/20=18
x=18
help me please i need this right now !!
Answer:
The first choice.
Step-by-step explanation:
3(x + 2) is equal to 3 * x + 3 * 2.
Simplify that, and you would get 3x + 6.
Answer:
A. or 3(x+2) = 3x + 6
Step-by-step explanation:
A. 3(x+2) = 3(x) + 3(2)
= 3x + 6
Which is correct!.
B. x^2 is nowhere to be found.
C. Doesn't distribute the 3 into the 2 properly.
D. Doesn't distribute the -3 into the x properly.
Help and explain pls and thankyouu
Hello,
1)
[tex]\left\{\begin{array}{ccc}2x-y&=&7\\-2x+3y&=&9\\\end{array} \right.\\\\\\\left\{\begin{array}{ccc}2y&=&16\\-2x+3y&=&9\\\end{array} \right.\\\\\\\left\{\begin{array}{ccc}y&=&8\\-2x+3*8&=&9\\\end{array} \right.\\\\\\\left\{\begin{array}{ccc}x&=&7.5\\y&=&8\\\end{array} \right.\\\\[/tex]
Answer C
2)
[tex]\left\{\begin{array}{ccc}x-2y-3z&=&5\\x+2y+3z&=&7\\x+z&=&3\\\end{array} \right.\\\\\\\left\{\begin{array}{ccc}2x&=&12\\x+2y+3z&=&7\\x+z&=&3\\\end{array} \right.\\\\\\\left\{\begin{array}{ccc}x&=&6\\2y+3z&=&1\\z&=&-3\\\end{array} \right.\\\\\\\\\left\{\begin{array}{ccc}x&=&6\\y&=&5\\z&=&-3\\\end{array} \right.\\\\\\[/tex]
Answer C
what is 888 + 48 ? pleaaaase
0,5.[tex]\sqrt{0,09}[/tex]-2.[tex]\sqrt{0,05}[/tex]+[tex]\sqrt \frac{1}{4}[/tex]
Answer:
0.21
Step-by-step explanation:
The given expression is :
[tex]0.5\times \sqrt{0.09}-2\sqrt{0.05}+\sqrt \frac{1}{4}[/tex]
We need to solve it.
We know that,
[tex]\sqrt{0.09}=0.3\ and\ \sqrt{0.05}=0.223[/tex]
So,
[tex]0.5\times \sqrt{0.09}-2\sqrt{0.05}+\sqrt \frac{1}{4}=0.5\times 0.3-2\times 0.22+0.5\\\\=0.21[/tex]
or
[tex]=\dfrac{21}{100}[/tex]
So, the value of the given expression is equal to 0.21.
Find the size of each of the unknown angles. Help me plz.
The answer is a=b=60 degree and c=120 degree. Give me solution plz
Answer:
a=60 b=60 c=120 is the answer
Find the volume - leave answer in terms of π
Answer:
144[tex]\pi[/tex]
Step-by-step explanation:
Volume of a Sphere :
V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]
V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]6^{3}[/tex]
V = [tex]\frac{4}{3}[/tex](216)[tex]\pi[/tex] (216 times 4, divided by 3)
V = 288[tex]\pi[/tex]
Now divide by 2, it's only half of a sphere.
Which length is equivalent to 12 yards?
4 feet
9 feet
15 feet
36 feet
Answer:
4 feet
Step-by-step explanation:
1 yard is 3 feet
then 12 yards is 4 feet
Answer:
It is 36.
Step-by-step explanation:
It's simple math