Answer:
Angle 4 is ∠A
Step-by-step explanation:
Cos(A) = adjacent / hypotenuse
=> Angle 1: Cos(1) = 40 / 41, or 0.98 (so this is not ∠A)
=> Angle 2: Cos(2) = 9 / 41 or 0.22 (This isn't ∠A either)
=> Angel 3: Cos(3) = 24 / 25 or 0.96 (Not ∠A)
=> Angel 4: Cos(4) = 7 / 25 or 0.28 (This is Angle A, since Cos(A) = 0.28)
Therefore; Angle 4 is ∠A
Hope this helps!
Answer:
Can't type the Full solution
I'll solve for the triangle with angles 1 and 2
You can go for the rest.
CosA = 0.28
Taking the cos-¹(0.28) to determine its Magnitude
A=73.74°
Now
We can use sine Rule to get the values of each of the other angles in the triangle
For the first triangle
Applying sine rule
What basically happens in the rule is... Each side divided by the angle opposite it.
Look below
The angle opposite 40cm is angle '2' and the angle opposite 41cm is 90°
We have this sine rule when all three sides are given with ONE ANGLE(90° is the given angle in this case)
So
Each side over the angle opposite it
We go!!
Let's call angle "2" an alphabet. Say Q
41/sin90 = 40/SinQ
SinQ = 40sin90/41
Recall sin90=1
SinQ = 40/41
Q= Sin-¹(40/41)
Q= 77.32°
so angle 2 is 77.32°
Now apply this to get others
Angle '1' should be 12.68°
Angle "3" should be 16.26°
Angle "4" should be 73.74°
Therefore
conclusion
Angle "4" is same as A. That's the angle we looking for
Option 4 IS CORRECT!!
plz help me if I do not get this done I will be grounded the hole summer
Answer:
361 tiles
Step-by-step explanation:
Answer:
361 1-ft square tiles.
Step-by-step explanation:
The area of the room is a square. It has the same length on each side.
To find how many square tiles you need to cover the floor of the room you need to find the area.
Squares are easy to find the area of because you only need to multiply both sides by each other.
19x19=361
To multiply easier, you can 19 by 10 which equals 190.
Then you can add.
190+190
100+100=200
90+90=180
200+180=380
380-19=361
Mike saves $42 a week for 7 weeks. During his 8-day vacation, he plans to spend $8.25 each day for snacks. Which expression shows how much money he will have left?
Answer:
($42 × 7) - ($8.25 × 8)
Step-by-step explanation:
Given that
Mike saves $42 a week for 7 weeks
And, his 8 day vacation, he plans to spend $8.25 each day
We need to find out the expression of how much he would have left
So,
Since the amount $42 is for a week
So for 7 weeks, it would be
= $42 × 7
And, he spends $8.25 each day,
And, for 8 days, it would be
= $8.25 × 8
So, the expression is
= ($42 × 7) - ($8.25 × 8)
Solve for x
pls pls help
Answer:
The answer is B. 9.7
Step-by-step explanation:
sin 14°=x/40
=> sin 14° X 40 = x
∴ x = 9.67≈ 9.7
The length of an arc of a circle is 6/5 pi feet long and the diameter is 10 feet. What is the measure of the central angle?
Answer:
216 degrees.
Step-by-step explanation:
put it through the formula and set the formula equal to 6/5 pi. then solve.
If 6 times a number = 3 times the same number,
that number must be this.
Can someone help me with my homeworkk
Answer:
The roots are x=2, 4
Step-by-step explanation:
The roots of the parabola are where the graph crosses the x axis .
The graph crosses the x axis at x=2 and x=4
The roots are x=2, 4
Plot five parabolas, one through each set of color coordinated points.
Answer:
red = y=(x+5)/4 -1
Step-by-step explanation:
https://www.emathhelp.net/calculators/algebra-2/parabola-calculator/?ft=vp&vx=-5&vy=-1&px=-7&py=0&ppdir=x
use this very good calculator
Which angles are represented by the same point on the unit circle as pi/4 ?
Answer:
d) [tex]\frac{9\pi }{4}[/tex]
Step-by-step explanation:
[tex]\frac{9\pi }{4} = 2\pi + \frac{\pi }{4}[/tex]
The correct options are a and d because -7pi/4 and 9pi/4 are the required angles.
Important infromation:
The given angle is [tex]\dfrac{\pi}{4}[/tex].Angles:The angles [tex]\theta\pm 2n\pi [/tex] represent the same point on the unit circle as [tex]\theta[/tex].
It means, [tex]\dfrac{\pi}{4}\pm 2n\pi [/tex] represents the same point on the unit circle as [tex]\dfrac{\pi}{4}[/tex].
The required angles are:
[tex]\left\{...,\dfrac{\pi}{4}-4\pi,\dfrac{\pi}{4}-2\pi, \dfrac{\pi}{4},\dfrac{\pi}{4}+2\pi,\dfrac{\pi}{4}+4\pi,...\right\}[/tex]
[tex]\left\{...,-\dfrac{15\pi}{4},-\dfrac{7\pi}{4}, \dfrac{\pi}{4},\dfrac{9\pi}{4},\dfrac{17\pi}{4},...\right\}[/tex]
Therefore, the correct options are a and d.
Find out more about 'Angles' here:
https://brainly.com/question/23475646
Using the change-of-base formula, which of the following is equivalent to the
logarithmic expression below?
log, 18
Given:
The logarithmic expression is:
[tex]\log_718[/tex]
To find:
The equivalent expression of given expression by using change-of-base formula.
Solution:
The change-of-base formula is:
[tex]\log_ba=\dfrac{\log_ca}{\log_cb}[/tex]
The given expression is:
[tex]\log_718[/tex]
Using the change-of-base formula, we get
[tex]\log_718=\dfrac{\log_c18}{\log_c7}[/tex]
Where, is a constant and c>0.
Let [tex]c=10[/tex], then
[tex]\log_718=\dfrac{\log_{10}18}{\log_{10}7}[/tex]
Therefore, the correct option is a.
In ΔTUV, the measure of ∠V=90°, UV = 3.3 feet, and TU = 9.8 feet. Find the measure of ∠U to the nearest degree.
Answer:
19.7°
Step-by-step explanation:
In ΔTUV, the measure of ∠V=90°, UV = 3.3 feet, and TU = 9.8 feet. Find the measure of ∠U to the nearest degree.
We make use of sine rule
TU/sin V = UV/sin U
9.8/sin 90 = 3.3/sin U
Cross Multiply
sin 90 × 3.3 = 9.8 × sin U
sin U = sin 90 × 3.3 /9.8
U = arc sin ( sin 90 × 3.3/9.8)
U = 19.7°
Please help what is the are of the triangle!!
Answer: B
Step-by-step explanation:
the formula for area of a triangle is base times height divided by 2
to get the base do 12.3 x 2 = 24.6
24.6 x 25.6 = 629.76
629.76/2 = 314.88
the answer would be B
(sorry for saying the answer was A at first, i forgot to find the full base)
Answer:
B. 314.9m
Step-by-step explanation:
First, let's take a look at the formula of a triangle.
A=[tex]\frac{1}{2}[/tex](b * h) ALSO WRITTEN AS- A= [tex]\frac{(b*h)}{2}[/tex].
So, as you can see, there is only half the base provided. To get the other half, just multiply it by 2. You get 24.6m as the base.
The height is provided. It's 25.6m. Plug in your base and height values and slove.
A=[tex]\frac{24.6m * 25.6m}{2}[/tex]
A= [tex]\frac{629.76}{2}[/tex]
A= 314.88m
You then round to the nearest tenth.
The final answer is A=314.9m.
Find the volume of the figure below. Leave in terms of PT for answers that contain T Round your answer to the nearest hundredthir
necessary
m
A
4 m
O a
112 m
OD
37.33 m
29,63 m
44,41 m
Answer:
a
Step-by-step explanation:
bc look
4. Solve 18 (c – 19) = 108. Show your steps
Answer:
c = 25
Step-by-step explanation:
First, you can divide by 18 on both sides:
18 (c - 19) = 108
÷ 18 ÷18
c - 19 = 6
To isolate the variable c, you can add 19 on both sides:
c - 19 = 6
+19 +19
c = 25
Answer:
c= 25
Step-by-step explanation:
108/18 = 6
6 +19 = 25
Carla is a waitress at Daybreak Diner and she earns $5 for each hour she works. Last week she earned 148 total including $68 tips how many hours did Carla work last week
Answer: 16 hours
Step-by-step explanation:
Given
Carla earns [tex]\$5[/tex] for each hour she works
Last week she earned $148 total including [tex]\$68[/tex] tip
So, the sum of hourly income and must be equal to the total money earned
Suppose she works for [tex]x[/tex] hours
[tex]\Rightarrow 5x+68=148[/tex]
[tex]\Rightarrow 5x=148-68\\\Rightarrow 5x=80\\\Rightarrow x=16\ \text{hours}[/tex]
Thus, she works 16 hours last week
Arnetta’s monthly gross pay is $4,200 federal withholding is 16.05%
Answer: $3204.06
Step-by-step explanation:
Here's the complete question:
Arnetta's monthly gross pay is $4,200. Federal withholding is 16.05% of her pay. Her other deductions total $321.30. Find her net pay.
First, we calculate the Federal witholding which will be:
= 16.05% × $4200
= 0.1605 × $4200
= $674.10
The total deduction will now be:
= $674.10 + $321.30
= $995.40
The net pay will now be:
= Gross pay - Total deductions
= $4,200 - $995.40
= $3204.06
Therefore, Arnetta’s net pay is $3204.06
Please help due tonight.
Answer
A
Step-by-step explanation:
Solve the equation x2 – 10x – 8= 0 to the nearest tenth.
Answer:
x = -0.8 and 10.8
Step-by-step explanation:
Given the equation x2 – 10x – 8= 0
Using the general formula
x = -b±√b²-4ac/2a
x = -(-10)±√(-10)²-4(1)(-8)/2(1)
x = 10±√100+32/2
x =10±√132/2
x = 10±11.489/2
x = 10-11.489/2 and 10+11.489/2
x = -1.489/2 and 21.489/2
x = -0.8 and 10.8
????????????????????????????????????
Answer:
answer is 52.5
Step-by-step explanation:
hope it helps
I need answers 1-7 this is geometry /algebra
Answer:
hope this helps you out good luck
Write an algebraic equation for the following. Do NOT solve:
7 less than p is 42
Answer:
p - 7 = 42
Step-by-step explanation:
"Less than" might make you think of the < sign, but that's a mistake. The expression 7 < p = 42 makes no sense! In fact, that would say, "7 is less than p and p = 42."
To find 7 less than a number, you subtract 7 from the number. You start with the number, then subtract 7.
p - 7 = 42
What do parallelogram and squares have in common?
Answer: they both have four sides (quadrilateral)
Step-by-step explanation:
Answer:
Quarderlaterals with reflecting (or parrel) sides of the same length.
Step-by-step explanation:
Squares always have 4 equal sides
Parrallegrams always have two sides that are parrel to each other that are the same lenghth.
What kind of triangle is this?
Answer:
Obtuse triangle.
Step-by-step explanation:
A obtuse triangle has one angle that is larger than 90 degrees. There is a angle with 95 degrees.
NEED HELPPPPPPPPP ASAP
Answer:
Tank A
Step-by-step explanation:
add it all up
4+8+12+16+20 = 60 5+10+15+20+25 = 75
60/75 = 4/5 = 0.8
2+4+6+8+10 = 30 3+6+9+12+15 = 45
30/45 = 2/3 = 0.667
0.8 is more than 0.667
Tank A has more fish.
Simra cuts an 8-carat diamond into smaller pieces. If each piece of diamond is 1/3 carat, how many pieces of diamond does Simra have now?
Answer: 24
Step-by-step explanation:
Given
Simra has an 8-carat diamond
She cuts small pieces of [tex]\frac{1}{3}[/tex] carat
Suppose she cuts x pieces of diamond
[tex]\therefore x=\dfrac{8}{\frac{1}{3}}\\\\\Rightarrow x=8\times 3\\\Rightarrow x=24[/tex]
She has now 24 pieces of diamond.
If cos A = 1/2, then what is the positive value of cos 1/2 A, in simplest radical form with a rational denominator?
Answer:
[tex]\cos(\frac{1}{2}A) = {\frac{\sqrt{3}}{2}[/tex]
Step-by-step explanation:
Given
[tex]\cos A = \frac{1}{2}[/tex]
Required
Determine [tex]\cos(\frac{1}{2}A)[/tex]
To do this, we make use of the following identity
[tex]\cos(\frac{1}{2}A) = \sqrt{\frac{\cos A+1}{2}}[/tex]
Substitute: [tex]\cos A = \frac{1}{2}[/tex]
[tex]\cos(\frac{1}{2}A) = \sqrt{\frac{\frac{1}{2}+1}{2}}[/tex]
Solve the numerator
[tex]\cos(\frac{1}{2}A) = \sqrt{\frac{\frac{2+1}{2}}{2}}[/tex]
[tex]\cos(\frac{1}{2}A) = \sqrt{\frac{\frac{3}{2}}{2}}[/tex]
Rewrite as:
[tex]\cos(\frac{1}{2}A) = \sqrt{\frac{3}{2} * \frac{1}{2}}[/tex]
[tex]\cos(\frac{1}{2}A) = \sqrt{\frac{3}{4}}[/tex]
Take square roots
[tex]\cos(\frac{1}{2}A) = {\frac{\sqrt{3}}{2}[/tex]
Triangle ABC has side lengths a=74.1, b= 60.8, c=114.2. What is the measure of angle C?
a. 35.9°
b. 28.8°
c. 96.4°
d. 115.3°
Given:
In triangle ABC, a=74.1, b= 60.8, c=114.2.
To find:
The measure of angle C.
Solution:
According to the Law of cosine:
[tex]\cos C=\dfrac{a^2+b^2-c^2}{2ab}[/tex]
Substituting [tex]a=74.1,b= 60.8,c=114.2[/tex], we get
[tex]\cos C=\dfrac{(74.1)^2+(60.8)^2-(114.2)^2}{2(74.1)(60.8)}[/tex]
[tex]\cos C=\dfrac{5490.81+3696.64-13041.64}{9010.56}[/tex]
[tex]\cos C=\dfrac{-3854.19}{9010.56}[/tex]
[tex]\cos C=-0.42774145[/tex]
Taking cos inverse on both sides, we get
[tex]C=\cos^{-1}{-0.42774145}[/tex]
[tex]C=115.324312[/tex]
[tex]C=115.3^\circ[/tex]
Therefore, the correct option is d.
What is the length of RU ?
A) 5 cm
B) 10 cm
C) 6 cm
D) 8 cm
Answer:
B) 10 cm
Step-by-step explanation: since DC scaled up to 10 cm and they were both originally 6cm, RU would be 10cm.
find the area of the irregular figure 3 in 3 in 4 in 4 in 6 in 8 in
Answer:
65 in
Step-by-step explanation:
Translate algebraic words to symbols.
Half of R subtracted from y cubed
A. 1/2R - y
B. y3 - R/2
C. R/2 - 3y
D. 3/y - R/2
Can someone help me, please?