Answer:
The angles of the triangle are approximately 87.395º, 57.271º and 35.334º.
Step-by-step explanation:
From statement we know all sides of the triangle ([tex]a[/tex], [tex]b[/tex], [tex]c[/tex]), but all angles are unknown ([tex]A[/tex], [tex]B[/tex], [tex]C[/tex]). (Please notice that angles with upper case letters represent the angle opposite to the side with the same letter but in lower case) From Geometry it is given that sum of internal angles of triangles equal 180º, we can obtain the missing information by using Law of Cosine twice and this property mentioned above.
If we know that [tex]a = 19[/tex], [tex]b = 16[/tex] and [tex]c = 11[/tex], then the missing angles are, respectively:
Angle A
[tex]a^{2} = b^{2}+c^{2}-2\cdot b\cdot c \cdot \cos A[/tex] (1)
[tex]A = \cos^{-1}\left(\frac{b^{2}+c^{2}-a^{2}}{2\cdot b\cdot c} \right)[/tex]
[tex]A = \cos^{-1}\left[\frac{16^{2}+11^{2}-19^{2}}{2\cdot (16)\cdot (11)} \right][/tex]
[tex]A \approx 87.395^{\circ}[/tex]
Angle B
[tex]b^{2} = a^{2}+c^{2}-2\cdot a\cdot c \cdot \cos B[/tex] (2)
[tex]B = \cos^{-1}\left(\frac{a^{2}+c^{2}-b^{2}}{2\cdot a\cdot c} \right)[/tex]
[tex]B = \cos^{-1}\left[\frac{19^{2}+11^{2}-16^{2}}{2\cdot (19)\cdot (11)} \right][/tex]
[tex]B\approx 57.271^{\circ}[/tex]
Angle C
[tex]C = 180^{\circ}-A-B[/tex]
[tex]C = 180^{\circ}-87.395^{\circ}-57.271^{\circ}[/tex]
[tex]C = 35.334^{\circ}[/tex]
The angles of the triangle are approximately 87.395º, 57.271º and 35.334º.
1. What does the algebraic representation (x,y) → (x-1, y-2) represent?
A Each point of a figure will translate 1 unit left and 2 units down.
B Each point of a figure will translate 1 unit left and 2 units up
. C Each point of a figure will translate 1 unit right and 2 units up.
D Each point of a figure will translate I unit right and 2 units down.(their is no visual)
Answer:
A) Each point will translate 1 unit left and 2 units down
Step-by-step explanation:
I got it right in my test Answer A
Find the area of the figure. Round to the nearest tenth if needed. Enter the number only.
9514 1404 393
Answer:
215.6 cm^2
Step-by-step explanation:
The top and bottom "wings" are 3.25 cm by 12.25 cm, so each has an area of ...
A = LW
A = (12.25 cm)(3.25 cm) = 39.8125 cm^2
The left and right "wings" are 3.25 cm by 7.25 cm, so each has an area of ...
A = (7.25 cm)(3.25 cm) = 23.5625 cm^2
The middle rectangle is 12.25 cm by 7.25 cm, so its area is ...
A = (12.25 cm)(7.25 cm) = 88.8125 cm^2
Then the total area is ...
area = middle rectangle + 2×side wings + 2×top/bottom wings
= 88.8125 +2(23.5625) +2(39.8125) = 215.5625 . . . cm^2
The area of the figure is about 215.6 cm^2.
what is the solution to the inequality 1/4(3x-6) >2(7-x +1
Answer:
x>70/11
Step-by-step explanation:
Find the value of x. Show your work with proper statements and notations. D ∈ AC
Answer:
x=25°
Step-by-step explanation:
Using the "Z rule," m∠DCB has the same value with m∠EAD so they are both x.
Look at D, the other side should be 130° since it'll be 180 when you add 130 and 50.
in our triangle DBC we have 130° and 2x. So 2x = 50 and x=25
Find the length of the hypotenuse
Answer: what’s the problem?
Answer:
a²+b²=c²
Step-by-step explanation:
If you have A and B then you will be able to use them to solve C, this also known as Pythagorean theorem. Again, if you have A and B ypu will be able to plug in your numbers into A and B and solve the equation... But if that is not what you're looking for then I can not solve your problem since there is no work.father's step is 65cm long while his daughter's step 4dm long. they start walking together. when the father has walk 8 step, his daughter has walked... step
Answer:
5 steps
Step-by-step explanation:
[tex]65cm \times 8 = 520cm[/tex]
[tex]4dm = 40cm \\ 65 - 40 = 25[/tex]
[tex]25 \times 8 = 200cm \: gap[/tex]
[tex]200 \div 40 = 5[/tex]
Answer:
His daughter has walked 13 steps
Step-by-step explanation:
Unit Conversion
Each step of the father is 65 cm long and each step of his daughter is 4 dm long.
Recalling that 1 dm = 10 cm, then each step of the daughter is 4*10 = 40 cm long.
Now we can compare both measures. When the father has walked 8 steps, this distance is 8*65 = 520 cm, and the daughter has walked 520/40 = 13 steps.
His daughter has walked 13 steps
subtract -3n^2 from -7n^2
Answer: 4n^2
Step-by-step explanation: -3n^2 - (-7n^2) = -3n^2 + 7n^2= 4n^2. When adding and subtracting the exponents stay the same only the coefficients are subtracted or added
What's the correct answer to this math problem?
27.4-3.2×2
Answer:
21
Step-by-step explanation:
..........................
Is the answer I put correct? I just wanna check. Tell me if it’s wrong please
Answer:
no is 100 fluid ounces.
What value of P makes the equation true?
2.5 + 0.15p = 0.4p
p = ___
Step-by-step explanation:
2.5 + 0.15p = 0.4p
0.25p = 2.5 (subtract 0.15p on both sides)
p = 10 (multiply 4 on both sides)
Answer:
[tex]2.5 + 0.15p = 0.4p \\ 2.5 = 0.25p \\ p = \frac{2.5}{0.25} \\ \boxed{p = 10}[/tex]
10 is the right answer.
Help plis
17. Find the sum of (10x + 3) and (- 4x - 2).
Answer:
6x + 1
Step-by-step explanation:
1. (10x + 3) + (-4x -2) --> sum means to add.
2. Combine like terms --> 10x - 4x = 6x; 3 - 2 = 1.
3. 6x + 1
A scientist uses a submarine to study ocean life.
• She begins at sea level, which is an elevation of o feet.
• She descends 28.7 feet.
• She then ascends 9.9 feet.
Next, she descends a second time, 92.8 feet.
How many feet must she now ascend to get back to sea level?
Answer:
111.6
Step-by-step explanation:
92.8+28.7=121.5
121.5-9.9=111.6
Find the rule and the graph of the function whose graph can be obtained by performing the translation 2 units left and 3
units up on the parent function f(x)=x?
Answer:
b.
Step-by-step explanation:
1. You have the following parent function given in the problem above:
f(x)=x³ (This is the simplest form. We need to translate it 3 units left and 2 units down)
2. If you take the parent function and make y=f(x+3), then you have:
(The function is shifted 3 units left on the x-axis).
3. Then you if you make y=f(x+3)-2, as following, you obtain:
(The function is shifted 2 units down on the y-axis).
4. Therefore, that is how you obtain the final function.
The answer is the graph shown in .b
Answer:
The other guy is wrong. The correct answer is Option C.
Step-by-step explanation:
It is a translation 2 units left, so (x+2)^2 is what you need here. It shifts up 3 units so that adds +3 on the outside. So f(x) = (x+2)^2 +3 or OPTION C
Please help :) Thank you
Answer:
C
Explanation:
:) hope this helps
Help find the answer?
Answer/Step-by-step explanation:
4. The product of ⅓ and a => ⅓ × a = [tex] \frac{1}{3}a [tex] or [tex] \frac{a}{3} [/tex]
5. a divided by 3 => a ÷ 3 = ⅓a
6. Subtracting ⅓ from b => [tex] b - \frac{1}{3} = \frac{b}{1} - \frac{1}{3} = \frac{3b - 1}{3} [/tex]
-27.375/7.5 plz show explanation
Answer:
-3.65
Step-by-step explanation:
We use the rules of division
Then we divide
[tex] - (27.375 \div 7.5) \\ - 3.65[/tex]
Answer:
-3.65
Step-by-step explanation:
-27.375/7.5
= - 3.65
Plz mark me Brainliest
Determine the approximate value of side A.
Answer:
A should be 40 if not sorry
Step-by-step explanation:
Answer:
40 is da right answer,you will see little william
Please help me ASAP I’ll mark Brainly
Answer:
I can't help if I can't see the question
6x – 5 = 37 Please help I need it
98 points Please help
Answer: X = 7.
Step-by-step explanation: Move all terms that don't contain x to the right side and solve.
I'll go step-by-step.
1. Add 5 to both sides. 6x-(5+5)=37+5
2. Simplify 6x=42
3. Divide both sides by 6. [tex]\frac{6x}{6} =\frac{42}{6}[/tex]
4. Then simplify/Divide. 42 / 6 = 7
That's how you get 7!
X = 7
Hey there!
6x - 5 = 37
ADD 5 to BOTH SIDES
6x - 5 + 5 = 37 + 5
CANCEL out: -5 + 5 because it gives you 0
KEEP: 37 + 5 because it help solve for the x-value
NEW EQUATION: 6x = 5 + 37
SIMPLIFY IT!
6x = 42
DIVIDE 6 to BOTH SIDES
6x/6 = 42/6
CANCEL out: 6/6 because it give you 1
KEEP: 42/6 because it gives you the x-value
NEW EQUATION: x = 42/6
SIMPLIFY IT!
x = 7
Therefore, your answer is: x = 7
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Please help, don’t understand
Dimas is playing a game that uses a number cube. The sides of the cube are labeled from I to
number cube one time.
Dimas wants to roll a 2 or a 3. He rolls the
What is the probability that he will roll a 2 or a 3?
ОА .
OB
O D. 16
Answer:
0.333333 or 1/3
Step-by-step explanation:
I hope it is 1 to 6.
2 or 3 is the 2 numbers representing success
P(2 or 3) = 2/6 = 1/3
I don't understand the choices. Can you upload a picture of the question?
To manufacture 30 items, it costs $2700, and to manufacture 50 items, it costs $3200. If x represents the number of items manufactured and y the cost, write the cost function.
a. Y= -25X + 4450
b. Y = 500 X 21,800
c. Y = 0.04X + 3198
d. Y = 25X + 1950
Answer:
[tex]y = 25x +1950[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (30,2700)[/tex]
[tex](x_2,y_2) = (50,3200)[/tex]
Required
Determine the linear function
We start by calculating the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
So, we have:
[tex]m = \frac{3200 - 2700}{50 - 30}[/tex]
[tex]m = \frac{500}{20}[/tex]
[tex]m = 25[/tex]
The equation is then calculated as:
[tex]y - y_1 = m(x - x_1)[/tex]
This gives:
[tex]y - 2700 = 25(x - 30)[/tex]
[tex]y - 2700 = 25x - 750[/tex]
Make y the subject
[tex]y = 25x - 750 + 2700[/tex]
[tex]y = 25x +1950[/tex]
Television screens are usually described by the length of their diagonal measure. What would the diagonal measure be for a television whose dimensions are 54 inches by 28 inches?
A) 61 inches
B) 71 inches
C) 81 inches
D) Unable to determine with given data.
Answer:
A
Step-by-step explanation:
61 inches
Step-by-step explanation:
61inches is answer.. .. ..
thank you
if this helps
Answer: 8
Step-by-step explanation:
8/2 + 5 =9 in desmos
I need help with this
Answer:
yes because 96/6 equals 16, and 6x16=96
Step-by-step explanation:
KA-BOOM!!! meh
Answer:
Yes it is
because 96/6 = 16
And if you flip it you'll get the same thing
Step-by-step explanation:
Calculate the average rate of change of function on the interval (a,a+h). simplify your expression.Show all steps.
f(x)=3x+2/2x-1
Answer:
Please check the explanation.
Step-by-step explanation:
Given the function
[tex]f\left(x\right)=\frac{3x+2}{2x-1}[/tex]
at x₁ = a,
[tex]f\left(x_1\right)=f\left(a\right)=\frac{3a+2}{2a-1}[/tex]
at x₂ = a+h,
[tex]f\left(x_2\right)=f\left(a+h\right)=\frac{3\left(a+h\right)+2}{2\left(a+h\right)-1}[/tex]
Using the formula to determine the average rate of change
Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]
[tex]=\:\frac{\frac{3\left(a+h\right)+2}{2\left(a+h\right)-1}-\frac{3a+2}{2a-1}}{a+h-a}\:\:\:\:\:\:\:[/tex]
as a+h-a = h, so
[tex]=\frac{\frac{3\left(h+a\right)+2}{2\left(h+a\right)-1}-\frac{3a+2}{2a-1}}{h}[/tex]
Thus, the everarge rate of chnage: [tex]\frac{\frac{3\left(h+a\right)+2}{2\left(h+a\right)-1}-\frac{3a+2}{2a-1}}{h}[/tex]
We can further simplify such as:
[tex]=\frac{\frac{3\left(h+a\right)+2}{2\left(h+a\right)-1}-\frac{3a+2}{2a-1}}{h}[/tex]
[tex]=\frac{-\frac{7h}{\left(2a-1\right)\left(2\left(h+a\right)-1\right)}}{h}[/tex]
[tex]=-\frac{\frac{7h}{\left(2a-1\right)\left(2\left(h+a\right)-1\right)}}{h}[/tex]
[tex]=-\frac{7h}{\left(2a-1\right)\left(2\left(h+a\right)-1\right)h}[/tex]
Cancel the common factor h
[tex]=-\frac{7}{\left(2a-1\right)\left(2\left(h+a\right)-1\right)}[/tex]
Give me your opinion on the new song driver license, and explain what the songs about?
Answer:
the song is a break up
Step-by-step explanation:
honestly I find it very good but its funny because I grew up being obsessed with bizrdvark which is a kids show on Disney she was on
Would appreciate some help thanks
Answer:
f(8) = -9
Step-by-step explanation:
Substitute 8 in for x.
f(8) = -2(8) + 7
f(8) = -16 + 7
f(8) = -9
Find the sum of 24/5 + 13/9
C = 7a^4+ + 5a²b2 – 3b^4
D=5a^4 + 7a²b^2 + 3b^4
C - D =
Answer:
2a^4 +12a
[tex]2 {a}^{4} + 12 { a}^{2} \\ \times \times [/tex]
Answer:
C-D is: [tex]\mathbf{4b^4 -2a^b^2 -6b^4}[/tex]
Step-by-step explanation:
We are given:
[tex]C = 7a^4+ + 5a^2b2 - 3b^4\\D=5a^4 + 7a^2b^2 + 3b^4[/tex]
We need to find C-D.
Finding C-D we actually have to subtract D from C
So, finding C-D
[tex]C-D\\= 7a^4+ + 5a^2b2 - 3b^4-(5a^4 + 7a^2b^2 + 3b^4)\\=7a^4+ + 5a^2b2 - 3b^4-5a^4-7a^2b^2-3b^4[/tex]
Now, combining the like terms.
Like terms are those that have same variables and exponents.
In our case, [tex]7a^4\: and\: 3b^4, 5a^2b^2\: and\: -7a^b^2, -3b^4\:and\:-3b^4[/tex]
[tex]=7a^4 - 3b^4+5a^2b^2 -7a^b^2 -3b^4-3b^4\\=4b^4 -2a^b^2 -6b^4[/tex]
So, we get C-D is: [tex]\mathbf{4b^4 -2a^b^2 -6b^4}[/tex]