Answer:
Step-by-step explanation:
We can use:
[tex]\frac{12}{sin35} = \frac{16}{sinB}[/tex]
Solve for sinB
[tex]sinB=\frac{16(sin35)}{12}[/tex]
The answer we get from that is: 0.76
With that answer, we can do:
[tex]B=sinx^{-1}(0.76)[/tex]
So, since the calculator did NOT put out an error, there is 2 such triangles.
Only 1 triangle can be formed by angle m∡A = 35°, a = 12, b = 16.
How many triangles are created in the following situation:m∡A = 35°, a = 12, b = 16. is to be determined.
The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°.
Here, the data given is m∡A = 35°, a = 12, b = 16,
Since one angle m∡A = 35° is given between the two sides a = 12, b = 16,.
There is only one triangle that can be made through the given data.
because when we plot the measures only one side can be added without calculation in order to complete the triangle.
Thus, only 1 triangle can be formed by m∡A = 35°, a = 12, b = 16.
Learn more about triangles here:
https://brainly.com/question/2773823
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can u hurry and help please
Answer:
18.84
Step-by-step explanation:
Hope this helps :)
Answer:
18.84
The equation for circumference is 2πr which means that you times 2 by pi and then the radius which is 6 divided by 2 so 3. Then you get 6π which is 18.84
Two lighthouses are located 75 miles from one another on a north-south line. If a boat is spotted S 40o E from the northern lighthouse and N 21o E from the southern lighthouse, how much closer is the closest lighthouse to the boat than the lighthouse furthest away? The northern lighthouse is 51.3 miles closer than the southern lighthouse. The northern lighthouse is 24.4 miles closer than the southern lighthouse. The northern lighthouse is 79.9 miles closer than the southern lighthouse. The northern lighthouse is 17.0 miles closer than the southern lighthouse.
Answer:
The northern lighthouse is approximately [tex]24.4\; \rm mi[/tex] closer to the boat than the southern lighthouse.
Step-by-step explanation:
Refer to the diagram attached. Denote the northern lighthouse as [tex]\rm N[/tex], the southern lighthouse as [tex]\rm S[/tex], and the boat as [tex]\rm B[/tex]. These three points would form a triangle.
It is given that two of the angles of this triangle measure [tex]40^{\circ}[/tex] (northern lighthouse, [tex]\angle {\rm N}[/tex]) and [tex]21^{\circ}[/tex] (southern lighthouse [tex]\angle {\rm S}[/tex]), respectively. The three angles of any triangle add up to [tex]180^{\circ}[/tex]. Therefore, the third angle of this triangle would measure [tex]180^{\circ} - (40^{\circ} + 21^{\circ}) = 119^{\circ}[/tex] (boat [tex]\angle {\rm B}[/tex].)
It is also given that the length between the two lighthouses (length of [tex]\rm NS[/tex]) is [tex]75\; \rm mi[/tex].
By the law of sine, the length of a side in a given triangle would be proportional to the angle opposite to that side. For example, in the triangle in this question, [tex]\angle {\rm B}[/tex] is opposite to side [tex]\rm NS[/tex], whereas [tex]\angle {\rm S}[/tex] is opposite to side [tex]{\rm NB}[/tex]. Therefore:
[tex]\begin{aligned} \frac{\text{length of NS}}{\sin(\angle {\rm B})} = \frac{\text{length of NB}}{\sin(\angle {\rm S})} \end{aligned}[/tex].
Substitute in the known measurements:
[tex]\begin{aligned} \frac{75\; \rm mi}{\sin(119^{\circ})} = \frac{\text{length of NB}}{\sin(21^{\circ})} \end{aligned}[/tex].
Rearrange and solve for the length of [tex]\rm NB[/tex]:
[tex]\begin{aligned} & \text{length of NB} \\ =\; & (75\; \rm mi) \times \frac{\sin(21^{\circ})}{\sin(119^{\circ})} \\ \approx\; & 30.73\; \rm mi\end{aligned}[/tex].
(Round to at least one more decimal places than the values in the choices.)
Likewise, with [tex]\angle {\rm N}[/tex] is opposite to side [tex]{\rm SB}[/tex], the following would also hold:
[tex]\begin{aligned} \frac{\text{length of NS}}{\sin(\angle {\rm B})} = \frac{\text{length of SB}}{\sin(\angle {\rm N})} \end{aligned}[/tex].
[tex]\begin{aligned} \frac{75\; \rm mi}{\sin(119^{\circ})} = \frac{\text{length of SB}}{\sin(40^{\circ})} \end{aligned}[/tex].
[tex]\begin{aligned} & \text{length of SB} \\ =\; & (75\; \rm mi) \times \frac{\sin(40^{\circ})}{\sin(119^{\circ})} \\ \approx\; & 55.12\; \rm mi\end{aligned}[/tex].
In other words, the distance between the northern lighthouse and the boat is approximately [tex]30.73\; \rm mi[/tex], whereas the distance between the southern lighthouse and the boat is approximately [tex]55.12\; \rm mi[/tex]. Hence the conclusion.
Please help! I don’t get this
Answer:
5.5?
Step-by-step explanation:
Honestly, I think it's just because the 4 pack of the 5.5 will equal more than the others tbh. Might be wrong, But I believe it's 5.5.
Which of the following is an even function?
Of(x) = (x - 1)2
O f(x) = 8x
Of(x) = x2 - x
O f(x) = 7
Answer:
f(x) = 7
Step-by-step explanation:
In an even function of x, all powers of x are even (2, 4, 6, etc.).
In this case we have f(x) = 7, or 7x^0, which is an even function because the power (0) of x is even.
(calculus) please help! will mark brainliest!
Hello friend,
The answer to your question is attached in the image uploaded by me. Please refer them.
✍️ By Benjemin ☺️
Which statement about the function y = −14x − 2 is true?
Answer:
slope is -14
X int. X is at 1/7
y int. y is at -2
Step-by-step explanation:
If you graph it you will see.
Clasifica los siguientes números en los conjuntos numéricos a los que pertenezcan. Si es posible
Exprésalos en forma de fracción.
a)
8
c) −43
e)
1,27
g)
1,01002000300004...
b) −0,81
d) numero PI
f) − 64
h) 6
my head hurts help will ya?
Solution : 24 × [20 + (5 × 3)] ÷ 8
So, first let's solve the integers within perenthesis
24 × [20 + 15] ÷ 8 24 × 35 ÷ 8Now, we need to divide it first after which we'll multiply the rest
24 × 4.375 105The answer should be 105
Pls Help
Use slope-intercept form, y = mx + b, to find the value for the y-intercept (b) of a line that has a slope of 6 and passes through the point (3, –5).
b=
a. -23
b. -14
c. 21
d. 33
What is the new equation written in slope-intercept form?
a. y=6x-23
b. y=6x-14
c. y=6x+21
d. y=6x+33
Answer:
y-intercept: -23
y = 6x - 23
Step-by-step explanation:
Slope: 6
Point (3, -5)
y-intercept: -5 - (6)(3) = - 5 - 18 = - 23
The number of counties in state A and the number of counties in state B are consecutive even integers whose sum is 94. If state A has more counties than state B, how many counties does each state have?
Answer:
Multiple answers.
Step-by-step explanation:
State A and State B together have 94 counties. State A has more counties than state B. So there can be multiple answers. Let us assume that you mean the two numbers are as close as possible. A+B=94. 94/2 is 47, so the two numbers as close as possible are 46,48. The lowest you can get is 2 and 92.
PLEASE PLEASE HELP WILL GIVE BRAINIEST AND ALOT OF POINTS PLEASE SHOW WORK TOO
a rectangle has a width of 1.75x+6.8 and a length of -3.5y - 2.7, find the perimeter
Answer:
3.5x + 13.6 - 7y -5.4
Step-by-step explanation:
Perimeter is equal to 2 times the sum of the length and width
2(1.75x+6.8-3.5y-2.7) = 3.5x + 13.6 - 7y -5.4
8/x = 2x+1 Solve this pls
HEEELP PLEASE
A company prepares a graph of its profit forecast. The annual budget predicts monthly income of at least $5000 more than expenditures.
What inequality models this situation?
Let x represent the expenditures in dollars for a given month and let y represent the income in dollars for the same month.
Express your answer as an inequality in slope-intercept form.
Answer:
that's he
ard
Step-by-step explanation:
sole it your seldf fast ⏩ fast food in advance of my head I can you e d f 3
You pay $80 for a game system. The monthly rental fee for games
is m dollars. Your cost for the year is $188. Using the equation
12m + 80 = 188, how much is your monthly fee?
Answer: 9
Step-by-step explanation:
12m + 80 = 188
-80 - 80
12m = 108
12m = 108
12 12
m = 9
Dave ran 10km in 40 minutes. He rested for 5 minutes then ran a further 8 km in 35 minutes.Work out his average speed for the whole journey. (Give your answer in km/h)
Answer:
27/2 km/hr
Step-by-step explanation:
Please answer my question
Answer:
B
Step-by-step explanation:
A function can only have an input with one output, but multiple inputs can have the same output.
Una función solo puede tener una entrada con una salida, pero varias entradas pueden tener la misma salida.
The first one to answer gets brainy
2 complementary angles are in the ratio 3:6. Find the angles
Answer:
The angles are 60°, and 30°
Step-by-step explanation:
Complementary angles add up to 90°
3 = 6 = 9
90/9 = 10
10 * 3 = 30
10 * 6 = 60
-Chetan K
What is the time on this clock?
Answer:
11:53 ish.
Step-by-step explanation:
2.07 divded by 0.9
what does that equal
Answer:
2.3
Step-by-step explanation:
plzzz help!!
Order the following from greatest to least.
Answer:
I think the answer is C
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
122%=122% 49/29=169% 26/15=173%, 1.98=198%
whats x+10<6 as a inequality sign?
Answer:
x < -4
Step-by-step explanation:
x + 10 < 6
-10 < -10
x < -4
Can someone pls help me
Pls get it right.
Using Pythagorean theorem
[tex]\\ \sf\longmapsto P^2=H^2-B^2[/tex]
[tex]\\ \sf\longmapsto P^2=8^2-(4\sqrt{3})^2[/tex]
[tex]\\ \sf\longmapsto P^2=64-48[/tex]
[tex]\\ \sf\longmapsto P^2=16[/tex]
[tex]\\ \sf\longmapsto P=4[/tex]
________
[tex] \: [/tex]
a² = c² - b²
a² = 8² - (4√3)²
a² = 64 - 48
a² = 16
a = √16
a = 4
BRAINLIEST ASAP!!!!!!!!!! Please someone help
elise says "if you subtract 13 from my number and multiply the difference by -4, the result is -48." what is elise's nunber
Answer:
Elise's number is 25.
Step-by-step explanation:
-4(x - 13) = -48
-4x + 52 = -48
-52 -52
------------------------
-4x = -100
/-4 /-4
-------------------------
x = 25
Answer:
Elise's number is 25.
Step-by-step explanation:
At 1 pm one day the temperature inside a freezer was -20°C
The freezer broke down.
The temperature inside the freezer went up by 4°C every hour after 1pm.
At what time did the temperature inside the freezer reach 0°C?
Answer:
6 p.m.
Step-by-step explanation:
What is the sample space for a spinner with four equal sections, numbered 1 to 4?
A. 1, 2, 3, 4
B. 4-1. 4-2. 4-3. 4-4
C. 1-1,1-2, 1-3, 1-4
D. 1, 2, 3, 4, 5
PLEASE HELP
Answer:
A. 1, 2, 3, 4
Step-by-step explanation:
I. When sample space means all possible case could happend.
In this case we have 4 equal sections numbered 1 to 4.
So from 1st section to 4th sections could happend fairly.
That makes 1, 2, 3, 4 is the right answer.
Hope that help :)
A rental car agency charges $220 per week plus $0.15 per mile to rent a car. How many miles can you travel in one week for $340?
The number of miles you can travel in one week for $340 is ?.
Answer:
800 miles
Step-by-step explanation:
You would make the equation .15x+ $200 and put that equal to 340 to get the equation:
.15x+$200=340
-$200 (subtract the like term first)
.15x=120
.15x over 120
Your answer comes out to be x=800.
20 points!!!
What is the solution to the system
(1) x+y+z=-3
(2)3y-z=4
(3) 2x-y-2z=-5
Answer:
I'm sorry but which ones are the x, y, and z, like (x, z, y)?
Step-by-step explanation:
By the way I promise you respond back and answer just making sure I know which variables are what so I can answer with the correct answer.
A building is 240 feet tall. On a scale drawing, 1/4 inch = 10 feet. What is the height of the building in the scale drawing?
15 in
9 in
60 in
13 in
Help Pleaseee
Answer:
60 in = 240 ft
Step-by-step explanation:
240/4 = 60
—
15 x 4 = 60
9 x 4 = 36
60 x 4 = 240
13 x 4 = 52