Answer:
7. 65 m
8. 4.75 cm
Step-by-step explanation:
7. [tex]b=\sqrt{63^2+16^2} \\[/tex]
[tex]b=\sqrt{3969+256}[/tex]
[tex]b=\sqrt{4225}[/tex]
[tex]b=65[/tex]
8. [tex]a=\sqrt{7.5^2-5.8^2}[/tex]
[tex]a=\sqrt{56.25-33.64}[/tex]
[tex]a=\sqrt{22.61}[/tex]
[tex]a=4.75[/tex]
have a good day! :)
The angles of a trapezium are x, 2x, 3x
and 4x. Calculate the value of the second
smallest angle.
The areaot a square is 36 cm? What
is the side length, s?
Answer: 6
Step-by-step explanation: To find the side length of a square, you need to find the square root of the area because the side length squared is the area.
A researcher started tracking the number of mice in the lab.
Which of the following equations models how many mice
there will be in the lab after 10 months?
Answer:
1536 rats will be total after 10 months
Step-by-step explanation:
The number is multiplied by 2 each time, so we have to continue multiplying by 2
Month 5: 48 x 2 = 96
Month 6: 96 x 2 = 192
Month 7: 192 x 2 = 384
Month 8: 384 x 2 = 768
Month 9: 768 x 2 = 1536
Month 10: 1536
Beth can buy T-shirts in packs of 5 for $5.55 or in packs of 2 for $4.82. How much money does she save by buying 40 T-shirts at a better price?
Answer:
$52
Step-by-step explanation:
Given data
Beth can buy T-shirts in packs of 5 for $5.55
Cost per shirt
=5.55/5
=$1.11
To buy 40 shirt
=1.11*40
=$44.4
In packs of 2 for $4.82
cost per shirt
=4.82/2
=$2.41
To buy 40 shirt
=2.41*40
=$96.4
Hence the best buy in packs of 5 for $5.55
and the cost per shirt is $1.11
He will save
=96.4-44.4
=$52
What is the volume of the sphere shown below?
5 in.
Answer:
...
Step-by-step explanation:
523.598 round it if u want
1. In the figure, TU is tangent to the circle at point U. Use the figure to answer the questions
The measure of RS = 5 and ST = 4. What is the length of segment TU? Show each step.
(a)
rs x st = tu 2
(b)
yes it is possible the formula is in part a, but we're given just the side rt and st, not rs, but not to worry we can get rs with subtraction. we can do 9-4=5 for rs. now we can plug in our values to find tu
5x4 = tu 2
simplify with algebra
20 = tu
FINAL ANSWER
2 5 tuuse the cross products property to solve the proportion 10/7 equals 8 / K what does k equal
Answer:
5.600
Step-by-step explanation:
To approach the runway, a pilot of a small plane must begin a 5 degree descent starting from a height of 1266 feet above the ground. To the nearest tenth of a mile, how many miles from the runway is the airplane at the start of this approach?
Answer:
2.8 miles
Step-by-step explanation:
From the attached sketch of the solution diagram, let x = distance of plane from runway :
The sketch gives a right angled triangle ; hence, we can apply trigonometry :
To obtain x :
Sin θ = opposite / hypotenus
Sin 5 = 1266 / x
0.0871557 * x = 1266
x = 1266 / 0.0871557
x = 14525.720 feets
Converting feets to mile :
1 mile = 5280 feets
14525.720 feets = 14525.720 / 5280
2.751 miles
To the nearest tenth of a mile ; 2.8 miles
I NEED THE ANSWER PLFAST PLEASE
Answer:
h
Step-by-step explanation:
multiplication and inference
What is the Domain and Range of f(t)?
Answer: Hm 1 second
Step-by-step explanation: 1 sec
What is the length of the hypotenuse?
12
5
X=
Help
Answer:
x = 13
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
5^2 + 12^2 = x^2
25+144 = x^2
169 = x^2
Taking the square root of each side
sqrt(169) = sqrt(x^2)
13 =x
Answer:
13
Step-by-step explanation:
[tex] \sqrt{5^{2} + 12^{2}} = \sqrt{169} \\ \\ \sqrt{169} = 13[/tex]
a²+b²=c²
Which correctly describes the net of a square pyramid?
two squares, three triangles
one squares, three triangles
one square, four triangles
two squares, four triangles
Answer:
one square, four triangles
Step-by-step explanation:
It's a pyramid, so there's only 1 base.
A square has 4 faces, so to build up the pyramid from its base, we need 4 triangles to stick with the square base and to form a sharp vertex.
Solve for k kk. k − 7 8 = 5 2
Answer:
k = 59.8
Step-by-step explanation:
Given
k - 7.8 = 52 ( isolate k by adding 7.8 to both sides )
k = 59.8
What is the relationship between circle A and circle B? part j
The sides of a rectangle are in the ratio 2:5. If the longer side of the rectangle is 25.5
in., what are its width, perimeter, and area?
Plz help
Answer: The width is 10.2 inches, the perimeter is 71.4, the area is 260.1.
Step-by-step explanation: So first i divided 25.5/5 which equals 5.1. The ratio is 2:5 so I know that i have to multiply 5.1x2 which is 10.2, thats how you get the width. The perimeter I just did 25.5+25.5+10.2+10.2 =71.4. For the area I just multiplied 25.5x10.2=260.1.
The width of the rectangle is 10.2 inches.
The perimeter of the recatngle is 71.4 inches.
The area of the rectangle is 260.1 square inches.
What is the perimeter of rectangle?The perimeter of rectangle is given by;
[tex]\rm Perimeter \ of \ rectangle=2 (Length + width)[/tex]
The sides of a rectangle are in the ratio 2:5.
If the longer side of the rectangle is 25.5.
The shortest side of the rectangle is;
[tex]=\dfrac{25.5}{5}\\\\=5.1 \rm \ inches[/tex]
The width of the rectangle is;
[tex]\rm Width=2\times 5.1\\\\Width =10.2[/tex]
The width of the rectangle is 10.2 inches.
The perimeter of the recatngle is;
[tex]\rm Perimeter \ of \ rectangle=2 (Length + width)\\\\\rm Perimeter \ of \ rectangle=2 (25.5+10.2)\\\\\rm Perimeter \ of \ rectangle=2 \times 35.7\\\\\rm Perimeter \ of \ rectangle=71.4 \ inches[/tex]
The perimeter of the recatngle is 71.4 inches.
The area of the rectangle is;
[tex]\rm Area=length \times width\\\\Area=25.5\times 10.2\\\\Area=260.1 \ square \ inches[/tex]
The area of the rectangle is 260.1 square inches.
Learn more about rectangle here;
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Questions is in the picture. no links please illl give brainly and 50 points only if answered properly
Answer:
subtract
a) 13/20
b) 1/2
c) 5/24
d) 7/18
e) 7/20
f) 3/40
Add or subtract
a) 4/9
b) 1/2
c) 11/20
d) 1/4
e) 19/12 or 1 [tex]\frac{7}{12}[/tex]
f) 4/21
9.
A- 13/20
B- 1/2
C- 5/24
D- 7/18
E- 7/20
F-3/40
10-
A-4/9
B-1/2
C-11/20
D-1/4
E-19/12
F- 4/21
Evaluate 150 – (2 + x) when x = 2.
The value of the expression is
The value of the expression is 86.
To evaluate the given expression, we need to simply put the given value of x in the mentioned expression. Subsequently, further operations will be performed based on the sequence in order of operators.
Value = 150 - (2 + x)³
Keep the value of x in the mentioned expression
Value = 150 - (2 + 2)³
Performing addition inside the bracket to find the value
Value = 150 - 4³
Taking cube on Right Hand Side of the equation
Value = 150 - 64
Performing subtraction to find the value of equation
Value = 86
Hence, the evaluation will give the result 86.
Learn more about evaluation of expression -
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The area of a rectangle is 20 square units and its length is 5 centimeters. Find its perimeter
Answer:
18 centimeters.
Step-by-step explanation:
Since you already know the length (height) divide 20 by 5 = 4.
This gives you the width (4), add up all the sides ( 4 + 4 + 5 + 5).
The sum comes out to be 18.
there are three questions I am giving 15 points
What is the area of this shape? Must use 3.14 as an approximation for pi :>
Let's split this up into two shapes: a half-circle and a triangle.
First, we'll find the area of the half-circle. The formula for the area of a circle is: A = 3.14 * r^2. Therefore, the area of a half circle will be: A = 1/2 * 3.14 * r^2. Using our new formula, let's plug in what we know and solve.
A = 1/2 * 3.14 * 8^2
A = 1/2 * 3.14 * 64
A = 3.14 * 32
A = 100.48 m^2
Next, let's find the area of the triangle. The formula for the area of a triangle is: A = 1/2 * base * height. Using our formula, let's plug in what we know and solve.
A = 1/2 * 12 * 8
A = 6 * 8
A = 48 m^2
Finally, we need to add the area of the half-circle and the area of the triangle to find the area of the shape.
100.48 + 48
148.48 m^2
Hope this helps!! :)
Step-by-step explanation:
area of the triangle
you know the height is 8 bc the radius of the circle is 8[tex] \frac{1}{2} (12)(8) \\ \frac{1}{2} (96) \\ 48[/tex]
area of the half circle
[tex] \frac{1}{2} \pi {(8)}^{2} \\ \frac{1}{2} (3.14)(64) \\ \frac{1}{2} 200.96 \\ 100.48[/tex]
area of entire shape
[tex]48 + 100.48 \\ 148.48 {m}^{2} [/tex]
A rectangle has an area of 244.48 square meters and a base of 19.1 meters. What is the height ?
Answer:
12.8 square meters
Step-by-step explanation:
244.48/19.1=12.8
[Links will be reported]
Answer:
A. 1
B. 7
C. 2
D. 10
,,,,,,,,,,
I'm not sure how to do the laws of exponents so explain pls
Answer:
2^6/2^0(2.2)³2^10/2^4(2^4)²hope it helps.
please show workings on how to do it :)
Answer:
here
Step-by-step explanation:
ratio:
1x, 3x, 5x=180
9x=180
x=180/9
x=20
forgot to mention 1x=cement
3x=sand and 5x=gravel.
I only know first part of the question.
Answer:
Let the ratio be x,3x,5x
then,
or,x+3x+5x=180kg
or,9x=180
or,x=180/9
or,x=20kg
now,3x=3*20
=60kg
5x=5*20
=100 kg
therefore he doesn't have enough cement and sand but he has enough gravel.
What is the greatest common factor of 42, 6, and 48?
Answer:
6
hope it is helpful to you
Find the side length x of the shelf!!!
The Answer Is x=12.5
This is a proportional equation.
[tex] \frac{16}{10} = \frac{20}{x} [/tex]
x=12.5
3x+9y=12
-3x-6y=18
Solve the system by using elimination
Answer: (x, y) = (-26, 10)
This means x = -26 and y = 10 pair up together
===============================================================
How to get that answer:
Add the equations straight down. Think of having 3 separate columns for the three different like terms.
3x + (-3x) becomes 0x and that's just 0. So the x terms go away9y + (-6y) is the same as 9y-6y which turns into 3y12 + 18 becomes 30After all that, we're left with the simpler equation 3y = 30. That solves to y = 10 after dividing both sides by 3.
Plug this back into any equation involving x and y. Solve for x
3x+9y = 12
3x+9(10) = 12
3x+90 = 12
3x = 12-90
3x = -78
x = -78/3
x = -26
We have found that x = -26 and y = 10 pair up together to form the solution.
-------------------
Checking the answer:
Plug (x,y) = (-26, 10) into the first equation
3x+9y = 12
3(-26)+9(10) = 12
-78+90 = 12
12 = 12
We get a true equation since the same thing is on both sides.
Repeat the same idea for the second equation
-3x-6y = 18
-3(-26) - 6(10) = 18
78 - 60 = 18
18 = 18
The second equation is true as well.
Both equations are true, so the solution (x, y) = (-26, 10) is confirmed.
Answer:
-26, 10
Step-by-step explanation:
See the steps below:)
Find m
A. 20
B. 16
C. 17
D. 18
Answer: Choice C) 17 degrees
=============================================================
Work Shown:
Apply the law of cosines
c^2 = a^2 + b^2 - 2*a*b*cos(C)
12^2 = 28^2 + 18^2 - 2*28*18*cos(C)
144 = 1108 - 1008cos(C)
144+1008cos(C) = 1108
1008cos(C) = 1108-144
1008cos(C) = 964
cos(C) = 964/1008
C = arccos(964/1008)
C = 16.991286936969 which is approximate
C = 17 degrees
Note: arccos is the same as inverse cosine.
A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 3 2 ft/s, how fast is the angle between the ladder and the ground changing when the bottom of the ladder is 8 ft from the wall
Answer:
dα/dt = - 0,25 rad/sec
Step-by-step explanation:
The vertical wall, the ground from the vertical wall up to the ladder, and the ladder shape a right triangle. angle α will be the angle between the ladder and the ground, then:
cos α = distance between the wall and the down end of the ladder (x) / length of the ladder
cos α = x/ L
- sin α * dα/dt = dx/dt * L /L²
- sin α * dα/dt = dx/dt /L
When the down end of the ladder is 8 ft apart from the wall
cos α = 8 / 10 = 0,8 then cos² α + sin²α = 1
sin² α = 1 - cos²α sin²α = 1 - (0.8)² sin²α = 0.36
sin α = 0.6
dα/dt = ?
dx/ dt = 3/2
L = 10 ft
x = 8 ft
By substitution
- 0.6*dα / dt = (3/2) / 10
dα/dt = - 1.5 / 6
dα/dt = - 0,25 rad/sec
(-) means the angle is decreasing
Aeg = 10 solve for g