Answer:
C
Step-by-step explanation:
Since we are given three sides and we want to find an angle, we can use the law of cosines.
The law of cosines is given by:
[tex]b^2=a^2+c^2-2ac\cos(B)[/tex]
In this case, a = 3, b = 5, and c = 7. Therefore:
[tex](5)^2=(3)^2+(7)^2-2(3)(7)\cos(B)[/tex]
Evaluate:
[tex]25=58-42\cos(B)[/tex]
Therefore:
[tex]-42\cos(B)=-33[/tex]
Dividing both sides:
[tex]\displaystyle \cos(B)=\frac{33}{42}[/tex]
And by taking the inverse cosine of both sides:
[tex]\displaystyle \angle B=\cos^{-1}\Big(\frac{33}{42}\Big)=38.2132...\approx 38^\circ[/tex]
Our answer is C.
Answer:
38°
Step-by-step explanation:
Travis, Jessica, and Robin are collecting donations for the school band. Travis wants
to collect 20% more than Jessica, and Robin wants to collect 35% more than Travis.
If the students meet their goals and Travis collects $43, how much money did they collect
in all?
Answer:
their total collected is $135.45
Step-by-step explanation:
travis collect 20% more than Jessica
if travis collect $43 then
20% of 43
43 × 20 ÷ 100 = $8.6
Jessica collected $8.6 less than travis
$43 - $8.6 = $34.4
and Robin collect 35% more than travis
35% of 43
43 × 35 ÷ 100 = $15.05
therefore Robin collect $15.05 more than travis
$43 + $15.05 = $58.05
their total collected
Jessica collected $34.4
robin collected $58.05
travis collected $43
total
$34.4 + $58.05 + $43 = $135.45
Compare the graph of y = 4x and y = 4x + 1.
how are they the same how are they different
Answer:
Step-by-step explanation:
Notice that the difference is in the y-intercept. The first equation has a y-intercept of 0 since y = 4x + 0, the second has a y-intercept of 1 since
y = 4x + 1. In other words, the graph is translated up 1 unit to cross at (0,1) instead of (0,0)
The volume of a rectangular prism is 300 ft 3 . If the area of the base is 12 ft 2 , what is its height?
15 feet
24 feet
12 feet
25 feet
Answer: pretty sure 25 feet
Step-by-step explanation:
the volume of a cube is 8 cubic feet. what is the length of each side
Answer:
2
Step-by-step explanation:
2 x 2 x 2 = 8
1/4 divided bye 3/3 is what
Step-by-step explanation:
.25 or 1/4 hope this helps
Answer:
1/4
Step-by-step explanation:
Any expression divided by itself equals 1
1/4÷1
Any expression divided by 1 remains the same
1/4
the solution is 1/4
Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = 4 cos 5θ
Answer:
It's symmetrical to the origin
Step-by-step explanation:
Use desmos for further graphing
NEED HELP ASAP PLEASE
Answer:
729
Step-by-step explanation:
9x9x9 = 729 in^3
Find y, ST and TU
Please help!
Given:
[tex]ST=4y,TU=2y+6[/tex]
To find:
The value of y, ST and TU.
Solution:
In triangle STV and UTV,
[tex]m\angle TSV\cong n\angle TUV[/tex] (Given right angles)
[tex]m\angle SVT\cong n\angle UVT[/tex] (Given)
[tex]TV\cong TV[/tex] (Common side)
The corresponding two angles and a non included sides in both triangles are congruent. So, the triangles are congruent by using AAS congruence postulate.
[tex]\Delta STV\cong \Delta UTV[/tex] (AAS congruence postulate)
Corresponding parts of congruent triangles are congruent. So,
[tex]ST\cong UT[/tex] (CPCTC)
[tex]4y=2y+6[/tex]
[tex]4y-2y=6[/tex]
[tex]2y=6[/tex]
[tex]y=3[/tex]
Now,
[tex]ST=4y[/tex]
[tex]ST=4(3)[/tex]
[tex]ST=12[/tex]
And,
[tex]TU=2y+6[/tex]
[tex]TU=2(3)+6[/tex]
[tex]TU=6+6[/tex]
[tex]TU=12[/tex]
Therefore, [tex]y=3,\ ST=12\ units,\ TU=12\ units[/tex].
A) I only
B) II only
C) III only
D) I and II only
Answer:
The . correct answer will be C
Step-by-step explanation:
Combine the like terms to create an equivalent expression. 7n + 4n
Answer:
11n
Step-by-step explanation:
y is less then or equal to 1/2x plus 2
2
Step-by-step explanation:
I think it 4/2 because I multiplied it
The table below shows the cost of 4 sizes of Bran Pops Cereal. Which size is the best buy?
16 ounces costs $2.56
36 ounces costs $5.40
64 ounces costs $8.96
96 ounces costs $14.40
Answer:
64 ounces is the best buy
Step-by-step explanation:
To figure which size is the best to buy, find the cheapest per ounces one
A: 16 ounces costs $2.56, each ounces cost 2.56/16 = $0.16
B: 36 ounces costs $5.40, each ounces cost 5.40/36 = $0.15
C: 64 ounces costs $8.96, each ounces cost 8.96/64 = $0.14
D: 96 ounces costs $14.40, each ounces cost 14.40/96 = $0.15
From the results above, C cost lowest per ounces,
64 ounces is the best buy
a computer company features a new model with the larger 20-in flat panel display. the flat panel sizes it diagonal length of its screen. the new computer joins earlier computer models with 15 and 17 inch screens.
Answer:
Step-by-step explanation:
a computer company features a new model with the larger 20-in flat panel display. the flat panel sizes it diagonal length of its screen. the new computer joins earlier computer models with 15 and 17 inch screens.
A helicopter flew north 325 meters and then flew east 500 meters. How far is the helicopter from its starting point?
Answer:
596.34m approx
Step-by-step explanation:
Given data
Let the Starting point be x
A helicopter flew north 325 meters from x
Then flew east 500 meters
Let us apply the Pythagoras theorem to solve for the resultant which is the distance from the starting position
x^2= 325^2+500^2
x^2=105625+250000
x^2= 355625
x= √355625
x=596.34m
Hence the distance from the starting point is 596.34m approx
1. A scientist is growing cell cultures and examining the effects of various substances on them as part of his research. The culture in one petri dish increases according to the expression +47 + 4 for timet in minutes. Another increases according to 12 + 2t+4. He needs to feed all the cells equally, so he needs to know the expression for the total number of cells in both dishes because the food is proportional to the total number of cells. Find the expression.
Pay attention in class
I need help on solving these problems.
Answer:
the fist one is A and the second one is D
Step-by-step explanation:
Find the area of the polygon. Please help.
Answer:
40 units
Step-by-step explanation:
The area of this rhombus can be broken up to four 4 by 5 right triangles, each having an area of 4*5/2=10, so the answer to your desired question is 10*4=40
Hey there!
The correct answer is 40 units squared.
We can solve this by breaking up the shape. There are four equivalent right triangles, so we can solve for one, and multiply it by 4! The area of a triangle is bh/2 or base * height / 2. So, we can set up the following equation:
(4 * 5) / 2 = area
20 / 2 = area
10 = area
Now we can multiply it by 4, which gives us 10 * 4 or 40.
Have a terrificly amazing day! :D
plsss help i’ll give brainliest if you give a correct answer
Answer:
1800
Step-by-step explanation:
Solve algebraically the simultaneous equations
x^2– y^2 = 24
x= 3 + 2y
Write your two pairs of answers in this form:
when x =... y =...
When x=... y=...
Answer:
(5, 1) and (-5, -7)
Step-by-step explanation:
Given the simultaneous equations
x^2– y^2 = 24 .... 1
x= 3 + 2y .... 2
Substitute 2 into 1
(3-2y)^2-y^2 = 24
Expand
9 - 12y + 4y^2 - y^2 = 24
9 - 12y + 3y^2 = 24
3y^2 - 12y + 9-24 = 0
3y^2 -12y -15 = 0
y^2-4y-5 = 0
y^2+5y - y - 5 = 0
y(y+5) - 1 (y+5) = 0
y-1 = 0 and y+5 = 0
y = 1 and -5
Substitute the values of y into 2
Recall that x = 3+3y
when y = 1
x = 3 + 2(1)
x = 5
when x = -5
x = 3 + 2(-5)
x = 3 - 10
x = -7
Hence the solutions are (5, 1) and (-5, -7)
Luke is designing a scale model of a clock tower. The design of the front of the tower is shown below.
300 mm
200 mm
50 mm
Complete question :
Luke is designing a scale model of a clock tower. The design of the front of the tower is shown below. Obtain the area of the front face of the model.
Answer:
12500 mm²
Step-by-step explanation:
The front face of the mode consista of both triangle and rectangle
Area of rectangle :
Height * Base
Height = 200 m ; Base = 50
Area = 200 m * 50 m = 10,000 mm²
Area of triangle :
1/2 * base * height
1/2 * 50 * (300 - 200)
1/2 * 50 * 100
= 2500 mm²
Area of front face = Area of rectangle + Area of triangle
Area of front face = (10,000 + 2500) m²
Area of front face = 12500 mm²
In a survey 80 students were asked to name their favorite subject.30 students sad. English was their favorite subject. What percent of the students surveyed said that the English was their favorite subject.∛
Answer:
37.5%
Step-by-step explanation:
30/80=37.5 percent
Answer:
37.5% of students say English is their favorite subject
Step-by-step explanation:
30/80=0.375----Divide the amount of students that like English(30) by the total amount of students who took the survey.(80)
0.375=37.5%----Turn your decimal answer to a percentage to get 37.5%!
Michael has $68. Craig has $24 less than Michael has. Michael spends $20 on a new hat. Michael has $68. Craig has $24 less than Michael has. Michael spends $20 on a new hat. Write an equation where the solution represents the amount of money (x), in dollars, craig has after michael buys the hat. Explain how you came to this equation.
Answer:
X + 4 = 48
Step-by-step explanation:
Before hat purchase :
Michael has $68
Craig has $24 less than Michael;
Hence, Craig = $68 - $24 = $44
Michael purchased hat worth, $20
x = amount Craig has after Michael purchase hat:
x = Amount Michael has - $24
Amount Michael has after hat purchase = $68 - $20 = $48
x + 4 = 44 + 4
X + 4 = 48
Here is a right square pyramid. The length of each side of the base is 3 cm. The height of the pyramid is 8 cm. What is the volume of this pyramid?
9514 1404 393
Answer:
24 cm³
Step-by-step explanation:
The volume is given by the formula ...
V = 1/3s²h
where s is the side length of the square base, and h is the height.
V = (1/3)(3 cm²)(8 cm) = 24 cm³
The volume of the pyramid is 24 cm³.
what dose 0.31 × 1.4 =
please help me and solve these, i will give brainliest and worth 25 points!!
Answer:
1. 168 cm^{2}
2. 156 in^{2}
3. 30 cm^{2}
4. 360 ft^{2}
Step-by-step explanation:
All ratio questions. We can set up proportions then cross multiply
1. \frac{8}{12} \frac{112}{x}
8x = (112 x 12)
8x = 1344
x = 168m
2.\frac{4}{8} \frac{78}{x}
4x = (78 x 8)
4x = 624
x = 156in
3. \frac{5}{2} \frac{75}{x}
5x = (75 x 2)
x = 30cm
4. \frac{8}{10} \frac{288}{x}
8x = ( 288 x 10 )
8x = 2880
x =360ft
1.1
LKR
(2)
1.2
R
(2)
1.3
N
[6]
9514 1404 393
Answer:
1.1 ∠LKR = 90°
1.2 ∠R = 32°
1.3 ∠N = 32°
Step-by-step explanation:
1.1 An inscribed angle is half the measure of the arc it subtends. Angle LKR is half the measure of the arc of semicircle LNR, so is 90°.
∠LKR = 90°
__
1.2 ΔLKR is a right triangle with angles L1 = 58°, ∠K = 90°, so ∠R is ...
∠R = 90° -58°
∠R = 32°
__
1.3 ∠N subtends the same arc LK that ∠R does, so it has the same measure.
∠R = ∠N = 32°
A rectangle is 7 ft by 12 ft. Find the length of its diagonal. Round to the nearest tenth.
Answer:
13.9
Step-by-step explanation:
7² x 12² = 49 + 144 = 193
√193= 13.89
The height of the pyramid in the diagram is three times the radius of the cone. The base area of the pyramid is the same as the base area of the
cone. What is the expression for the volume of the pyramid in terms of the radius r of the cone?
Answer:
jhhfhgk
Step-by-step explanation:
Answer:
Hey, the correct nswer is option A
Step-by-step explanation:
A. V = [tex]\pi[/tex]r3
How to do surface area- cylinder worksheet
Answer:
to find surface area of cylinder
A=2πrh+2πr²
Step-by-step explanation:
The digit 4 has a greater value in because its value is as much as its value in .
Question:
Fill in the blanks to complete the statements about the numbers 0.04 and 0.004. In 0.04, the digit 4 is in the place. In 0.004, the digit 4 is in the place.
The digit 4 has a greater value in because its value is as much as its value in
Answer:
The digit 4 has a greater value in because its value is as much as its value in 0.04
Step-by-step explanation:
Given
0.04 and 0.004
Required
Which has a greater value of 4
In 0.04, the value of 4 is hundredths i.e. 0.01
In 0.004, the value of 4 is thousandths i.e. 0.001
By comparison:
[tex]0.01 > 0.001[/tex]
So, 4 has a greater value in 0.04 than 0.004