In triangle ABC, a=31 , b=22 , c=18. Identify m∠A rounded to the nearest degree.
Answer:
101
Step-by-step explanation:
According to the Law of Cosines, for any △ABC with side lengths a, b, and c, a2=b2+c2−2bccosA; b2=a2+c2−2accosB; and c2=a2+b2−2abcosC
.
The Law of Cosines can be used because all three side lentghs are known.
Set up the equation for the Law of Cosines:
a2=b2+c2−2bccosA
Substitute the known values into the Law of Cosines:
312=222+182−2(22)(18)cosA
Square the values and multiply:
961=484+324−792cosA
Add:
961=808−792cosA
Subtract 808
from both sides:
153=−792cosA
Divide both sides by −792
:
153−792=cosA
According to this equation m∠A
is equal to the inverse cosine function of −153792
. Write this:
m∠A=cos−1(−153792)
Calculate the value of the inverse cosine −153792
on a calculator:
m∠A≈101°
Therefore, m∠A≈101°
.
Answer:
101
Step-by-step explanation:
calculate using the law of cosines
hope that helps!
The international cricket team is going to stadium to play the T20 cricket game. A coordinate grid is superimposed on a highway map of the city. The team hotel is at point (3, 4) and the stadium is at point (7, 1). The map shows a rest stop halfway between the hotel and the stadium. What are the coordinates of the rest stop? What is the approximate distance between the hotel and the stadium? (One unit is approximately equal to 6.4 miles.)
Answer:
The coordinate of the rest stop is: [tex](5,2.5)[/tex]
The distance between the hotel and the stadium is 32 miles
Step-by-step explanation:
Given
[tex](x_1,y_1) = (3,4)[/tex] --- Team hotel
[tex](x_2,y_2) = (7,1)[/tex] --- Stadium
Solving (a): The coordinates of the rest stop
The rest stop is at half way;
So, the coordinate is:
[tex](x,y) = \frac{1}{2}(x_1+x_2,y_1+y_2)[/tex]
This gives:
[tex](x,y) = \frac{1}{2}(3+7,4+1)[/tex]
[tex](x,y) = \frac{1}{2}(10,5)[/tex]
Open bracket
[tex](x,y) = (5,2.5)[/tex]
Solving (b): Distance between the hotel and the stadium
We have:
[tex](x_1,y_1) = (3,4)[/tex] --- Team hotel
[tex](x_2,y_2) = (7,1)[/tex] --- Stadium
The distance (d) is:
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
So, we have:
[tex]d = \sqrt{(3 - 7)^2 + (4 - 1)^2}[/tex]
[tex]d = \sqrt{(-4)^2 + 3^2}[/tex]
[tex]d = \sqrt{16 + 9}[/tex]
[tex]d = \sqrt{25}[/tex]
[tex]d =5[/tex]
From the question, we have:
[tex]1\ unit = 6.4\ miles[/tex]
So:
[tex]d =5 * 6.4\ miles[/tex]
[tex]d =32\ miles[/tex]
Can you help me find this answer its due in a few minutes?
Answer:
D. 3.2 in^2
Step-by-step explanation:
48 divide 15 = 48/15 = 3.2
In another right angle triangle the hypotenuse is 53, and the one of the side lengths is
28. Please find the missing side length,
Jennifer invested $400 at 6% interest compounded continuously. Write a model m(t) that represents the money in Jennifer's account in t years. A. B. How much money is in Jennifer's account after 5 years? Round to the nearest cent. C. Approximately when will Jennifer have $800 in her account? Round to the nearest tenth of a year.
Answer:
11.5 years
Step-by-step explanation:
Given data
Principal= $400
Rate= 6%
For the compound interest at time t, the expression is given as
A= P(1+r)^t
Substitute
A= 400(1+0.06)^t
A=400(1.06)^t
B. How much money is in Jennifer's account after 5 years
put t= 5
A=400(1.06)^5
A=400*1.338
A=$535.2
C. Approximately when will Jennifer have $800 in her account
A=$800
P=$400
r=6%
t= ln(A/P)/r
t= ln(800/400)/0.06
t= ln(2)/0.06
t= 0.6931/0.06
t=11.551
Hence the time is about 11.5 years
At a lunch shop, a hamburger costs $2.99 and a hot dog costs $2.50.
How much more does a hamburger cost than a hot dog?
To find the difference subtract the price of the hot dog from the price of the hamburger:
2.99 - 2.50 = 0.49
The hamburger cost $0.49 more than the hot dog.
The function h is defined by
h(x)=x²-2.
Find h(2z)
Answer:
[tex]h(x) = {x}^{2} - 2 \\ h(2z) = {(2z)}^{2} - 2 \\ = 4 {z}^{2} - 2 \\ = 2( {2z}^{2} - 1)[/tex]
HELP ASAP
Solve the equation for x.
3x - 5x + 4 = 10 x =
PLEASE ANSWER STEP BY STEP
Answer:
X=-3
Step-by-step explanation:
3x-5x+4=10
-2x=6
x=-3
note: I wasn’t sure if the equation ended in 10 or 10x. I think it ends at 10 so that is how I solved.
What is the range of the function graphed below?
Answer:
C.
[tex] - \infty < y < \infty [/tex]
To find the surface area of the pyramid, in square inches, Vikram wrote (33.2) (34.2) + 4 (one-half (34.2) (28.4)). What error did Vikram make? He used the same expression for the area of all four lateral faces. He used the wrong expression to represent the area of the base of the pyramid. He used the wrong value as the height when he found the area of the lateral faces. He used an expression for surface area that only finds the total area of three faces.
Answer:
B. He used the wrong expression to represent the area of the base of the pyramid.
Step-by-step explanation:
Given
See attachment for pyramid
[tex]Area = (33.2)(34.2) + 4 * \frac{1}{2} * 34.4 * 28.4[/tex]
Required
Vikram's error
The surface area of a square pyramid is:
[tex]Area = Base\ Area + 4 * Area \triangle[/tex]
Where
[tex]Base\ Area = Length * Length[/tex]
[tex]Base\ Area = 34.2 * 34.2[/tex]
[tex]4 * Area \triangle = 4 * \frac{1}{2} * Base * Height[/tex]
[tex]4 * Area \triangle = 4 * \frac{1}{2} * 34.2 * 28.4[/tex]
So:
[tex]Area = Base\ Area + 4 * Area \triangle[/tex]
[tex]Area = 34.2 * 34.2 + 4 * \frac{1}{2} * 34.2 * 28.4[/tex]
By comparing the calculated expression with
[tex]Area = (33.2)(34.2) + 4 * \frac{1}{2} * 34.4 * 28.4[/tex]
Option (b) is correct
I think it is 40, but I need some make sure I am right
Answer:
40 is the answer I also got 40
if 9x × 3x+1 = 2187, what is the value of x
Answer:
1093/6
Step-by-step explanation:
9x + 3x + 1 = 2187
12x + 1 = 2187
12x = 2187 - 1 = 2186
12x = 2186
x = 2186/12 = 1093/6
Hope u understand
Please mark as brainliest
someone help me find what is m
Answer:
measure of angle F= 109 degrees
Step-by-step explanation:
I believe by m you are solving for angle F. So, angle H =71 degrees. GF and HI are parallel. In order to find angle G, Take the supplementary of 71 degrees, so 180-71 = angle G =109 degrees. Because GH and FI are congruent, the angles should be same across the shape, so angle I 71 degrees. Quadrilateral has a total of 360 degrees, so, 360-71-109-71=109 degrees. In general, angke G would equal angle F because of the trapezoid properties that take place when both bases are parallel and two of the sides are congruent, the trapezoid is an isosceles trapezoid
find the value of X. Round to the nearest tenth. Show or explain your answer.Please I need this answered ASAP.
Answer:
c=21.6
Step-by-step explanation:
First, find the last angle of the triangle.
The sum of all the angles in a triangle is 180 degrees.
A+90+37=180
A=53
Now find x
The cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.
cos(B)=adj/hyp
rewrite as
c=a/cos(B)
c=17.3/cos(37)
c=21.66194688
pleasee helppp i have 15 assignments to finish plus a final exam in 4 hours !!
f(x) = square root of (-7 + 2) - 6
f(x) =square root of (-5) - 6
f(x) = 2.236 = 2.2 - 6
f(x) = -3.8
F(x) = √x+2 -6
F(x) = √7+2 -6
F(x) = 3-6
F(x) = -3
Factorize completely 3ac+6ab-15a
Answer:
3a(c + 2b - 5)
Step-by-step explanation:
Step-by-step explanation: The greatest common factor for the 3 terms here is 3a so factor out a 3a and what we're left with inside the parentheses is each of the terms in the original polynomial divided by 3a.
So we have 3a(c + 2b - 5) which is our final answer.
9c+1 = 10
What is c?
Answer:
c=1
Step-by-step explanation:
9c+1 = 10
Subtract 1 from each side
9c+1-1=10-1
9c = 9
Divide by 9
9c/9 = 9/9
c = 1
can somebody PLEASE HELP ME
i really need it thank you!
If XY is 4 m and WZ is 9 m, the exact volume of the cone is ___π square meters
Answer:
150.796π square meters
maybe!
Step-by-step explanation:
Find (a) the circumference and (b) the area of the circle. Use $3.14$ or $\frac{22}{7}$
for $\pi$ . Round your answer to the nearest hundredth, if necessary.
A circle with radius of 1 meter.
(a) circumference: about
m
(b) area: about
m²
Answer:
[tex]circumference = 2 \pi r = 2 \times 3.14 \ times 1 = 6.28m\\\\Area = \pi r^2 = 3.14 \times 1 \times 1 = 3.14m^2[/tex]
The circumference of the circle is, 6.28 meter.
And, The area of circle is, 3.14 meters²
What is Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Given that;
A circle with radius of 1 meter.
Now, We know that;
The circumference of the circle = 2πr
Hence, We get;
The circumference of the circle is,
⇒ 2 × 3.14 × 1
⇒ 6.28 meter
And, The area of circle is,
⇒ Area = πr²
⇒ Area = 3.14 × 1²
⇒ Area = 3.14 meters²
Thus, The circumference of the circle is, 6.28 meter.
And, The area of circle is, 3.14 meters²
Learn more about the circle visit:
https://brainly.com/question/24810873
#SPJ3
A person is 89-93 pounds depending on the day, 13 years old, and 5 foot tall. Is this an appropriate weight?
Answer:
I don't think so cause average in my town is 100 to 109
Answer:
I don't think so
Step-by-step explanation:
¯\_(ツ)_/ i can't tell you
Poor jocelyn! She was running a race and at the 9 1/4 marker, she stumbled and twisted her ankle. If she was only 3/8 of the way, how long was the race?
Answer: 24 2/3
Step-by-step explanation:
Let the total distance of the race be represented by x.
Therefore, based on the information given, we can form an equation which will be:
3/8 of x = 9 1/4
3/8x = 9 1/4
0.375x = 9.25
x = 9.25/0.375
x = 24.67
The distance of the race is 24 2/3
Which numbers make a true statement when placed in the box? 7.902 > Select each correct answer.
a-7.912
b- 7.097
c- 7.920
d- 7.898
7.898 and 7.097 numbers make a true statement when placed in the box
What is number system ?A number system is defined as a system of writing to express numbers. It is the mathematical notation for representing numbers of a given set by using digits or other symbols in a consistent manner. It provides a unique representation of every number and represents the arithmetic and algebraic structure of the figures. It also allows us to operate arithmetic operations like addition, subtraction, multiplication and division.
Numbers make a true statement when placed in the box
7.902 > ?
7.902 < 7.912
7.902 > 7.097
7.902 < 7.920
7.902 >7.898
Hence, the answer is 7.898 and 7.097
To learn more about the number system here:
https://brainly.com/question/29862713
#SPJ3
7 Grade MAth help me and not the pezrson who helped me last time pls
Answer:
40
Step-by-step explanation:
A sunflower grew 7 yards during the first week after it was planted. What is the height of the total sunflower in feet?
Answer:
21 feet
Step-by-step explanation:
Remember to get feet to yards, multiply the feet by 3 because there are 3 feet in one yard
in this case 7 × 3 = 21
And additionally to get yards to feet, divide by three because 1 yard = 3 feet
Mark as Brainliest
This is kind of far fetched but does anyone have an idea of how to find elevation using cos tan and sin ?
Answer:
Step-by-step explanation:
Use right triangle trig and SohCahToa. Elevation could either mean the height of something or it could refer to an angle of elevation. Either way, these ratios can help you. Do you have an actual question?
i give u brainliest if u answer
Answer: B & D
Step-by-step explanation:
.Answer only the second question and show steps
Answer:
Step-by-step explanation:
Perimeter is found by adding all the sides of a figure together. We have 2 lengths that are 10.5 long, and 2 widths that are 8.75 wide. Adding these together:
10.5 + 10.5 + 8.75 + 8.75 = 38.5 cm
this answer for # 2 question
A car depreciates by 5% in a year. If the initial value was $10,000, what is its value after a year?
Answer: $9,500
Step-by-step explanation:
If the value of the car depreciates by 5% in a year it means that the value of the car reduced by 5%.
First find the 5%:
= 5% * 10,000
= $500
Subtract this from the initial value to find the value after a year:
= 10,000 - 500
= $9,500
Answer:
$ 9500
Step-by-step explanation:
From the question given above, the following data were obtained:
Initial value = $ 10000
Depreciation rate = 5%
Value after one year =?
Next, we shall determine the depreciation value. This can be obtained as follow:
Initial value = $ 10000
Depreciation rate = 5%
Depreciation value =?
Depreciation value = Initial value × rate
Depreciation value = 10000 × 5%
Depreciation value = 10000 × 5/100
Depreciation value = $ 500
Finally, we shall determine the value of the car after one year. This can be obtained as follow:
Initial value = $ 10000
Depreciation value = $ 500
Value after one year =?
Value after one year = Initial value – Depreciation value
Value after one year = 10000 – 500
Value after one year = $ 9500
Therefore, the value of the car after one year is $ 9500
Help!! Please NO links or I will report you also NO fake answers!! Thanks. The image is above. ¡
Answer:
second choice, 3 in³
Step-by-step explanation:
24×1/8=3 in³
pLEASE I BEG OF U HELP - ill give brainliest
Answer:
123 cm²
Step-by-step explanation:
You add the sum of all the faces in the shape
Answer:
Step-by-step explanation:
8 x 9= 72…. 3 x 8= 24…. 3 x 9= 27…. 72 x 2= 144…. 24 x 2= 48…. 27 x 2= 54… 144 + 48+ 54 = 246.
therefor Your answer is 246 cm2