Answer:
C
Step-by-step explanation:
Using the tangent ratio in the right triangle
tanC = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{c}{a}[/tex] , then
C = [tex]tan^{-1}[/tex] ([tex]\frac{c}{a}[/tex] )
______ is a contract based on your promise to pay in the future for goods and services you receive today.
allocation
credit
principal
interest
Which of these is an example of an output?
A
swiping on phone screen
B
the notification sound of a text message
C
typing on a keyboard
D
talking into a microphone
Answer:
d talking into microphone
Fine the angle of the triangle using sides
Answer:
35.54
Step-by-step explanation:
use inverse tan
soh cah toa
we have both opposite and adjacent so we are using tangent
[tex]tan^{-1} (\frac{5}{7} )[/tex]
put that into a calculator and it would give you approximately 35.54 degrees
HELP PLEASE 50 POINTS DONT ANSWER IF YOU DONT KNOW
The ratio 2:3 means for every 2 inches on the original, the photocopy would be 3 inches.
3/2 = 1.5
The photocopied image is 1.5 times larger than the original.
Side BG on the original is side FG on the copy:
14 x 1.5 = 21 meters
FG = 21 meters
Answer:
FG = 21
Step-by-step explanation:
The ratio is 2:3
2 BC
----- = ----------------
3 FG
2 14
----- = ----------------
3 FG
Using cross products
2FG = 3*14
2FG = 42
Divide by 2
FG = 21
The total enclosed area is ____ square units. Round to the nearest tenths place (1 decimal place).
Answer: 47.6
Is this right?
Answer:
siis corretoed
Step-by-step explanation:
Lisa flips 2 fair coins.
What is the probability of obtaining two tails?
Answer:
1/4
Step-by-step explanation:
Each coin has a probability of 1/2 of landing on tails
What you do is multiply these probabilities together to get 1/4
Solve 4(x - 3) - 2(x - 1) > 0.
A. {x | x < -5}
B. {x | x > -5}
C. {x | x > 5}
D. {x | x < 5}
Answer:
Apply the distributive property.
4
x
+
4
⋅
−
3
−
2
(
x
−
1
)
>
0
Multiply
4
by
−
3
.
4
x
−
12
−
2
(
x
−
1
)
>
0
Apply the distributive property.
4
x
−
12
−
2
x
−
2
⋅
−
1
>
0
Multiply
−
2
by
−
1
.
4
x
−
12
−
2
x
+
2
>
0
Given:- 4(x - 3) - 2(x - 1) > 0.
Solving It:-
4(x - 3) - 2(x - 1) > 0
4x - 12 - 2x + 2 > 0
2x -10 > 0
2x > 10
x > 10/2
x > 5
So Correct Solution Set Will Be:-C. {x | x > 5}Hope This Helps YouThere are a total of 12 boys in a chess club. If the ratio of boys to girls in the chess club is 3 to 5, what is
the total number of boys and girls in the chess club?
==================================================
Explanation:
b = number of boys = 12g = number of girls = unknownThe ratio of boys to girls is 3 to 5, which means,
b/g = 3/5
12/g = 3/5 ... plug in b = 12
12*5 = g*3 ... cross multiply
60 = 3g
3g = 60
g = 60/3 .... divide both sides by 3
g = 20 is the number of girls
b+g = 12+20 = 32 total students in the chess club.
What is the length of each leg of the hypotenuse of the triangle below?
Answer:
H^2 = P^2 + B^2
H^2 = ( 3 root 2 )^2 + ( 3 root 2)^2
H^2 = 18 + 18
H^2 = 36
H = 6
Hence , option A is correct
hope that helps ✌
pls pls pls pls help me with this
Answer:
5 up and 2 to the right
Step-by-step explanation:
The center will be at the same spot as circle D, dilate by 3, then the dilation maps circle C into circle D.
How many roots does the equation -11x5+5x-3=0 have?
11
3
5
Answer:
5
Step-by-step explanation:
The Fundamental theorem of Algebra states that a polynomial of degree n has n roots, some may be complex.
11[tex]x^{5}[/tex] + 5x - 3 = 0 ← is a polynomial of degree 5
Thus the equation will have 5 roots
what is the solution to the equation?
[tex] \frac{2 }{x} - \frac{x}{x + 5} = \frac{10}{ {x}^{2} + 5x } [/tex]
a. 0
b. 2
c. 0 and 2
d. no solution
Answer:
Hello,
answer B
2
Step-by-step explanation:
[tex]\dfrac{2}{x} -\dfrac{x}{x+5} =\dfrac{10}{x^2+5x} \\\\we\ suppose\ x\neq 0\ and\ x\neq -5\\\\\text{Reducing to the same denominator}\\\dfrac{2(x+5)-x^2}{x(x+5)} =\dfrac{10}{x^2+5x} \\\\Simplify\ by\ x^2+5x\\\\2x+10-x^2=10\\\\-x^2+2x=0\\\\-x(x-2)=0\\\\roots\ are\ 2 \ and\ 0\ (to\ be\ excluded)\\\\Root=2\\[/tex]
pleaseee help mee helpp meeee
Answer:
i can help you i know this answer
Find the missing length of the following trapezoid with midsegment drawn
**You will earn 15 points for both of the problems**
Answer:
UV = 10
HG = 25
Step-by-step explanation:
UV = (11+9)/2 = 20/2 = 10
HG = (28+22)/2 = 50/2 = 25
Answer:
Below in bold.
Step-by-step explanation:
First problem:
The length of the mid segment is the mean of the 2 outer segments.
So it is (11+9)/2
= 20/2
= 10.
Second problem:
As above, it is (22+28) / 2
= 50/2
= 25.
In one afternoon, Brian sold 25% of his chocolate bars. If he had 72 bars left, how many chocolate bars did he have to begin with?
Answer:
96 chocolate bars
Step-by-step explanation:
If Brian sold 25% of his chocolate bars and now he's left with 72, let's subtract 25% from 100%.
100% - 25% = 75%
Now, let's set up the equation & solve:
1. Set up Equation
75/100 = 72/x2. Cross-Multiply
75/100 = 72/x75 · x = 72 · 10075x = 72003. Divide both sides by 75
75x = 720075x/75 = 7200/75x = 96Therefore, Brian started with 96 chocolate bars.
Answer:
96 bars
Step-by-step explanation:
100% - 25% = 75%
[tex]\frac{75}{100}[/tex] = [tex]\frac{72}{x}[/tex]
x = [tex]\frac{100*72}{75}[/tex] = 96 bars
Johanna will plant up to 32 acres on her farm with wheat and corn. Fewer than 11 acres will be planted with wheat
The answer is
w + c ≤ 32
w < 11
w - the number of acres of wheat
c - the number of acres of corn
Johanna will plant up to 32 acres on her farm with wheat and corn:
w + c ≤ 32
Fewer than 11 acres will be planted with wheat:
w < 11
The two inequalities are:
w + c ≤ 32
w < 11
Simplify: 45 ÷ 3 + 2 × 8 - 12 + 42
Answer:
61
Step-by-step explanation:
45/3 = 15
2*8 = 16
15+16-12+42 = 61
Answer:
15 + 16 + 30
and that is in total 61
Step-by-step explanation:
45/3 = 15
2×8 = 16
-12 + 42 = 30
you simplify an expression by calculating the part expressions, to be left only with the main terms and main operations.
PLS HELP!
When rolling a single number cube, what are the odds, in simplest form, in favor of rolling a 4 or a 5? A. 1:1 B. 1:2 C. 1:3 D. 1:5
Answer: 1:3
Step-by-step explanation:
The odds are 2/6 because you’re given 2 choices from the 6 side die you can then simplify that fraction to 1:3
Instructions: Find the missing side. Round your answer to the nearest tenth.
24°
х
27
Answer:
x = 60.6 units
Step-by-step explanation:
Hi there!
In this right triangle, we're given the measure of an angle, the side opposite that angle and another side adjacent to that angle (that is not the hypotenuse). In this circumstance, we can use the tangent ratio to help us solve for the missing side:
[tex]tan\theta=\frac{opp}{adj}[/tex]
Plug in the given information:
opp = 27, adj = x, θ = 24
[tex]tan(24)=\frac{27}{x}\\x=\frac{27}{tan(24)} \\x=60.6[/tex]
Therefore, the length of the missing side is 60.6 units when rounded to the nearest tenth.
I hope this helps!
Find the length of the hypotenuse of a right angle triangle if remaining side are 3 cm and 4 cm.
Answer:
5 cm
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
let h be the hypotenuse , then
h² = 3² + 4² = 9 + 16 = 25 ( take the square root of both sides )
h = [tex]\sqrt{25}[/tex] = 5
a polyhedron has 6 faces and 6 vertices. how many edges does it have?
Answer:
a polygon has 3 or more sides
Solve for 4
NEED HELP ASAP
Answer:
32 = <4
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the opposite interior angles
15+17 = <4
32 = <4
Thank you so much, my friend
Answer:
Step-by-step explanation:
This is quite a doozy, my friend. We will set up a d = rt table, fill it in...and pray.
The table will look like this before we even fill anything in:
d = r * t
SUV
sedan
Ok now we start to pick apart the problem. Motion problems are the hardest of all story problems ever. This is because there are about 100 ways a motion problem can be presented. So far what we KNOW for an indisputable fact is that the distance from Georgetown to Greenville is 120 km. So we fill that in, making the table:
d = r * t
SUV 120
sedan 120
The next part is derived from the sentence "After an hour, the SUV was 24 km ahead of the sedan." This tells us the rate of the SUV in terms of the sedan. If the SUV is 24 km ahead of the sedan in 1 hour, that tells us that the rate of the sedan is r and the rate of the SUV is r + 24 km/hr. BUT we have other times in this problem, one of them being 25 minutes. We have a problem here because the times either have to be in hours or minutes, but not both. So we will change that rate to km/min. Doing that:
24 [tex]\frac{km}{hr}[/tex] × [tex]\frac{1hr}{60min}=.4\frac{km}{min}[/tex] So now we can fill in the rates in the table:
d = r * t
SUV 120 = r + .4
sedan 120 = r
They left at the same time, so now the table looks like this:
d = r * t
SUV 120 = r + .4 * t
sedan 120 = r * t
We will put in the time difference of 25 minutes in just a sec.
If d = rt, then the equation for each row is as follows:
SUV: 120 = (r + .4)t
sedan: 120 = rt
Since the times are the same (because they left at the same time, we will set the equations each equal to t. The distances are the same, too, I know that, but if we set the distances equal to each other and then solve the equations for a variable, the distances cancel each other out, leaving us with nowhere to go. Trust me, I tried that first! Didn't work.
Solving the first equation for time:
sedan: [tex]\frac{120}{r}=t[/tex] That's the easy one. Now the SUV. This is where that time difference of 25 minutes comes in from the last sentence. Let's think about what that sentence means in terms of the times of each of these vehicles. If the sedan arrived 25 minutes after the SUV, then the sedan was driving 25 minutes longer; conversely, if the sedan arrived 25 minutes after the SUV, then the SUV was driving 25 minutes less than the sedan. The latter explanation is the one I used in the equation. Again, if the SUV was driving 25 minutes less than the sedan, and the equations are solved for time, then the equation for the SUV in terms of time is
[tex]\frac{120}{r+.4}=t-25[/tex] and we solve that for t:
[tex]\frac{120}{r+.4}+25=t[/tex]
Again, going off the fact that times they both leave are the same, we set the equations equal to one another and solve for r:
[tex]\frac{120}{r+.4}+25=\frac{120}{r}[/tex]
I began by first multiplying everything through by (r + .4) to get rid of it in the denominator. Doing that:
[tex][r+.4](\frac{120}{r+.4}) +[r+.4](25)=[r+.4](\frac{120}{r})[/tex] which simplifies very nicely to
[tex]120+25(r+.4)=\frac{120}{r}(r+.4)[/tex] So maybe it's not so nice. Let's keep going:
[tex]120+25r+10=\frac{120r}{r}+\frac{48}{r}[/tex] and keep going some more:
[tex]130+25r=120+\frac{48}{r}[/tex] and now we multiply everything through by r to get rid of THAT denominator:
[tex]r(130)+r(25r)=r(120)+r(\frac{48}{r})[/tex] giving us:
[tex]130r+25r^2=120r+48[/tex] Now we have a second degree polynomial we have to solve by factoring. Get everything on one side and factor using the quadratic formula.
[tex]25r^2+10r-48=0[/tex]
That factors to
r = 1.2 and r = -1.6 and both of those rates are in km/minute. First of all, we cannot have a negative rate (this is not physics where we are dealing with velocity which CAN be negative) so we throw out the -1.6 and convert the rate of 1.2 km/minute back to km/hr:
[tex]1.2\frac{km}{min}[/tex] × [tex]\frac{60min}{1hr}[/tex] and we get
r = 72 km/h, choice B.
Wow...what a pain THAT was, right?!
What is the graph of the solution set of the inequality?
Answer:
The Tasty Beans Coffee House being planned for the corner of SE 12th and Main will ruin a perfectly nice neighborhood. Besides the fact that Tasty Beans already has coffee shops all over the city, it will pull business away from local coffee houses that have been here for decades. In addition, there is already a parking problem on that street, and the new business will just add to the congestion. They're planning a drive-up window, too, and that will mean a steady stream of traffic in a very high-volume area. Ask anyone walking down the street, and they'll tell you this is a bad idea. I speak for my whole neighborhood when I say, "Go away, Tasty Beans!"
Step-by-step explanation:
Find the circumference of the circle. Then, find the length of each bolded arc. Use appropriate notation
Answer:
[tex]\text{1) }\\\text{Circumference: }24\pi \text{ m}},\\\text{Length of bolded arc: }18\pi \text{ m}\\\\\text{3)}\\\text{Circumference. }4\pi \text{ mi},\\\text{Length of bolded arc: } \frac{3\pi}{2}\text{ mi}[/tex]
Step-by-step explanation:
The circumference of a circle with radius [tex]r[/tex] is given by [tex]C=2\pi r[/tex]. The length of an arc is makes up part of this circumference, and is directly proportion to the central angle of the arc. Since there are 360 degrees in a circle, the length of an arc with central angle [tex]\theta^{\circ}[/tex] is equal to [tex]2\pi r\cdot \frac{\theta}{360}[/tex].
Formulas at a glance:
Circumference of a circle with radius [tex]r[/tex]: [tex]C=2\pi r[/tex] Length of an arc with central angle [tex]\theta^{\circ}[/tex]: [tex]\ell_{arc}=2\pi r\cdot \frac{\theta}{360}[/tex]Question 1:
The radius of the circle is 12 m. Therefore, the circumference is:
[tex]C=2\pi r,\\C=2(\pi)(12)=\boxed{24\pi\text{ m}}[/tex]
The measure of the central angle of the bolded arc is 270 degrees. Therefore, the measure of the bolded arc is equal to:
[tex]\ell_{arc}=24\pi \cdot \frac{270}{360},\\\\\ell_{arc}=24\pi \cdot \frac{3}{4},\\\\\ell_{arc}=\boxed{18\pi\text{ m}}[/tex]
Question 2:
In the circle shown, the radius is marked as 2 miles. Substituting [tex]r=2[/tex] into our circumference formula, we get:
[tex]C=2(\pi)(2),\\C=\boxed{4\pi\text{ mi}}[/tex]
The measure of the central angle of the bolded arc is 135 degrees. Its length must then be:
[tex]\ell_{arc}=4\pi \cdot \frac{135}{360},\\\ell_{arc}=1.5\pi=\boxed{\frac{3\pi}{2}\text{ mi}}[/tex]
what is the answer to this problem
9514 1404 393
Answer:
5.7·10^-3
Step-by-step explanation:
The expanded scale shows point P lies 7/10 of the way between 5 and 6 times 10^-3. Its value is 5.7·10^-3.
18 Ib. Then her dog loses another 1 lb. Finally, it
Cece dog
gains lb. What is the total change in her dog's weight? how your work. Pleasss help
Answer:
17 lb I guess 8 don't think the question is full
Step-by-step explanation:
the question is half
please help me asap:)
will give brainliest to the correct answer
Answer:
A=29.12ft^2
Step-by-step explanation:
first, find the area of the triangle and semicircle separately, then add them together to find the total area of the figure:
area of a triangle: 1/2bh
1/2(6)(8)=24ft^2
area of a circle: πr^2
(**we're using 3.14 instead of pi, and it's a semicircle)
1/2(3.14)(4)^2
1/2(3.14)(16)
1/2(50.24)
25.12ft^2
total area of the figure:
24+25.12=29.12ft^2
Answer: 49.12 ft²
Step-by-step explanation:
This figure is composed of
a half-circlea right triangleFirst, find the area of the half-circle.
The area of a full circle is π · r², but since it's only half a circle, we divide that by half, resulting in (π · r²)/2
π = pi ≈ 3.14r = radius = 8/2 = 4 ftTherefore, the area of the half-circle is:
(3.14 · 4²)/2 = (3.14 · 16)/2 = 50.24/2 = 25.12 ft²
Second, find the area of the right triangle.
The area of a triangle = ½bh.
b = base length = 6 fth = height = 8 ftTherefore, the area of the triangle is:
½ · 6 · 8 = ½ · 48 = 24 ft²
Add the two areas together:
24 + 25.12 = 49.12 ft²
Can y’all help me with this answer ASAP
Answer:
sqrt(24)
Step-by-step explanation:
The number is slightly less than 5
We know that 5^2 =25
sqrt(25) = 5
so the number has to be less that sqrt(25)
The only number less than sqrt(25) is sqrt(24) and sqrt(20)
sqrt(20) is too far away to be slightly less than 5 so it must be sqrt(24)
Which table of ordered pairs represents a proportional relationship?
-3
y
3
2
1
-5
1
O
داده |
-5
oh w
х
-2
-4
-6
-5
-7
-9
立
-2
-3
y у
0
-1
Answer:
second x -1,-3,-5 y 1 3 5 for proportional relation