Answer:
P = 72 ft
Step-by-step explanation:
the perimeter P is the sum of the 3 sides.
Tangents to a circle from an external point are congruent , then
side 24 = 15 + 9
side 21 = 9 + 12
Third side = 12 + 15 = 27 ft
P = 24 + 21 + 27 = 72 ft
PLEASE HELP!!!! 20 POINTSSSS!!!!!!!!!!
I WOULD MARK BRAINLIEST!!!!!!!!!!!!!!
Answer:
a=b sinα
sinβ=5·sin(22°)
sin(119°)≈2.14154
a=b sinα
sinβ=12·sin(48°)
sin(42°)≈13.32735
Step-by-step explanation:
I think this is correct but i am most likely wrong, Im not that great at math
Answer:
( SOLVE FOR h )
Step-by-step explanation:
THE FORMULA:
a = b [tex]\frac{sin A}{sin B}[/tex]
---------
b = 12
sin a = 48
sin B = 42
--------
12 × [tex]\frac{sin 48}{sin 42}[/tex]
ANSWER =
h = 13.33
----------------------------------------
SOLVE FOR x AND y
I'M NOT SURE.......
x = 2.14
b = 5
Help a fella out :)))))))
Answer:
5280 ft/1 mi, 1848 ft
Step-by-step explanation:
Whatever unit is given on the top (miles), you will write it on the bottom of the second fraction. Since we are solving for length in feet, we know that the numerator will be in feet. The only answer choice that has this option is 5280 ft/ 1 mi. You can check this math by taking 0.35 of 5280 feet, or 1 mile = 1848 ft.
[tex]\frac{0.35 mi}{1} *\frac{?ft}{?mi}[/tex]
[tex]\frac{0.35 mi}{1} *\frac{5280 ft}{1mi}[/tex] (miles cancels out, left with feet)
[tex]\frac{1848ft}{1}[/tex]
1848 feet
I hope this helps!
3. What is the angle of rotation for the following figure?
45°
60°
90°
120°
Answer:
45°
360÷8= 45
Mark me brainliest.
Write 2 In 6 + 3 In 4 - 5 In (1/3) as a single logarithm
Answer:
ln 559872
Step-by-step explanation:
2 In 6 + 3 In 4 - 5 In (1/3) = ln 6² + ln 4³ - ln (⅓)⁵
= ln 36 + ln 64 - ln 1/243
= ln [(36×64)/(1/243)]
= ln 559872
Katie saves $5 every week. so far, she has saved a total of $63.
a) write an expression for Katie's saving using W for the number of weeks from today.
b) use your expression to find out how much money Katie had 5 weeks ago.
no links!!! pls, help!!!
pls quick The cost of 10 ounces of cheese is 99 cents. What is the price of 10 pounds of cheese in dollars?
the cost in dollars is $15.84
Answer:
Step-by-step explanation:
The answer is $15.84
A circle has a diameter of
16". (4 pts.)
What is the approximate
Circumference?
What is the approximate area?
Show ur work 40 points!!
Answer:
Circumference = 50.24 units
Area = 200.96 units²
Determining the area of the circle:
The formula of finding the area of the circle is π(r)² or π(d/2)².
(Where "r" represents the radius and "d" represents the diameter)
In this case, we are given the diameter. Thus, we will use the formula π(d/2)². Simply substitute the diameter in the formula to determine the area of the circle.
⇒ π(D/2)² = Area of circle
⇒ π(16/2)² = Area of circle
⇒ π(8)² = Area of circle
⇒ π × 64 = Area of circle
[Exact form of pie: 22/7; Approx form of pie: 3.14]
⇒ Area of circle ≈ 3.14 × 64
⇒ Area of circle ≈ 200.96 units²
Determining the circumference of the circle:
The formula of finding the circumference of a circle is 2πr or πd.
(Where "r" is radius and "d" is diameter)
In this case, we are given the diameter. Thus, we will use the formula πd. Simply substitute the diameter in the formula to determine the circumference of the circle.
⇒ πd = Circumference of circle
⇒ π(16) = Circumference of circle
[Exact form of pie: 22/7; Approx form of pie: 3.14]
⇒ (3.14)(16) ≈ Circumference of circle
⇒ 50.24 units ≈ Circumference of circle
i know this is probably simple but ive forgotten how to do it and i cant find it in my notes help appreciated!
Answer:
This is pythagoras
A squared plus b squared equals c squared.
The unknown side is c as its the hypotenuse,
So the length of the first side is 6.4 this squared = 40.96
The other length is 12 as 6 is the radius so the diameter of the circle amd therfore the length of the triangle is 12.
12 squared is 144
144 + 40.96 = 184.96
The length of c squared is 184.96
To find the length of c alone we calculate the square root.
The square root of 184.96 = 13.6
? = 13.6
What is the measure of the unknown angle?
A 64°
B 76°
C 83°
D 87°
Answer:
D, 87 is the answer
Step-by-step explanation:
360 is a full circle so subtract 360 to 273 and its 87 hope this helps! :)
Answer:
d
Step-by-step explanation:
Look At the picture I am not sure how to calculate the area
Answer:
height = 5.33 m (nearest hundredth)
area of wall = 41.66 m² (nearest hundredth)
Step-by-step explanation:
To find the height of A above the ground, find the height of the triangle and add it to the height of the rectangle.
The dashes on the sides of the triangle mean they are equal in length. Therefore, this triangle is an isosceles. If we draw a line down the center of the triangle to create 2 right triangles, their top angles will be 65° (half of 130°) and they will each have a base length of 5 m (see attached diagram).
To find the height, use the tan trig ratio:
[tex]\sf tan(\theta)=\dfrac{O}{A}[/tex]
where:
[tex]\theta[/tex] = angleO = side opposite the angleA = side adjacent to the angleGiven:
[tex]\theta[/tex] = 65°O = 5 mA = h[tex]\sf \implies tan(65)=\dfrac{5}{h}[/tex]
[tex]\sf \implies h=\dfrac{5}{tan(65)}[/tex]
[tex]\sf \implies h=2.331538291...[/tex]
Therefore, the height of A above the ground:
⇒ height = 3 + 2.331538191 = 5.33 m (nearest hundredth)
----------------------------------------------------------------------------------------
To find the area of the wall, sum the area of the rectangle and the area of the triangle.
Area of rectangle = width x height
= 3 x 10
= 30 m²
Area of triangle = 1/2 x base x height
= 1/2 x 10 x 2.331538191
= 11.65769145 m²
Total area of wall = 30 + 11.65769145 = 41.66 m² (nearest hundredth)
A bus makes a stop at 2:30, letting off 13 people and letting on 5. The bus makes another stop ten minutes later to let off 3 more people. How does the number of people on the bus after the second stop compare to the number of people on the bus before the 2:30 stop?
Answer:
net loss of 10
Step-by-step explanation:
stop 1 :
13 off
5 on
7 net loss
stop 2 :
3 off
3 net loss
total net loss = 3+10
=10
Please Help me ASAP.
25(q-954)=775 what is q?
Answer:
The value of q = 985
Step-by-step explanation:
==> 25(q-954)=775
=> q-954 = 775/25
=> q-954 = 31
=> q = 31+ 954
=> q = 985
Answer:
q = 985
Step-by-step explanation:
25 (q-954) = 775
q-954 = 775/25
q = 31 + 954
q = 985
Maryam scored an 8 out of 10 on her spelling test one week. The next week, her score decreased by 25%. What was her score for the second week?
a.) 5 out of 10
b.) 6 out of 10
c.) 7 out of 10
d.) 4 out of 10
Distribute to create an equivalent expression with the fewest symbols possible.
6(3c - 5d + 6) =6(3c−5d+6)=6, left parenthesis, 3, c, minus, 5, d, plus, 6, right parenthesis, equals
Using the distributive property, it is found that the equivalent expression is:
18c - 30d + 36
What is the distributive property?It is a property that the outside term multiplies each of the inside terms.
In this problem, the expression is:
6(3c - 5d + 6).
Hence, we apply the property, with the outside term 6 multiplying each of the inside terms, hence the equivalent expression is given by:
6(3c - 5d + 6) = 18c - 30d + 36.
More can be learned about the distributive property at https://brainly.com/question/2807928
What is the radius and diameter of 4.2
The radius of a circle is the length between a circle's centre and edge.
The diameter of a circle is its radius doubled.
Solving the QuestionThe given diagram tells us the radius is 4.2 cm.
To solve for the diameter, multiply the given radius by 2:
4.2 × 2 = 8.4
Therefore, the diameter of the circle is 8.4 cm.
AnswerRadius: 4.2 cm
Diameter: 8.4 cm
A vacant rectangular lot is being turned into a community vegetable garden with a uniform path around it. area of the lot is represented by 4x^2 40x - 44 where x is the width of the path in meters. Find the wisdom the path surrounding the garden.
By factorizing the expression, 4x² + 40x - 44, the width of the path (x) is calculated as: 11 meters.
How to Factorize an Expression?To factorize an expression, such as 4x² + 40x - 44, we need to determine the two factors that will give us -176 when multiplied, and also give us 40 when added.
To find the width of the path, x, we need to factorize 4x² + 40x - 44, using the two factors, 4 and -44.
4x² - 44x + 4x - 44
(4x² - 44x) + (4x - 44)
4x(x - 11) + 4(x - 11)
(x - 11)(4x + 4) = 0
x = 11 or x = -4/4 = -1
The value of the width of the path, x, cannot be negative. Therefore, the width of the path would be: 11 meters.
Learn more about factorization on:
https://brainly.com/question/25829061
#SPJ1
PQRS is a rectangle and OS = 16. Find the blanks below:
mments
ssions
S
R
es
le
О
s
bus
P
O
zes
dules
OQ =
16
BlueButton
aborations
PR =
ogle Drive
uce 365
mZQRS =
ogle Drive
Answer: 48
Step-by-step explanation:
What is the measure of < B?
Answer:
C) 55
Step-by-step explanation:
One of the angles is given, which is 35. This is a right triangle because there is a square next to angle C, meaning it is 90 degrees. You subtract both of these values from the degree of a triangle, 180, which will leave you with 55.
Answer:
55
Step-by-step explanation:
Given: 35 degrees and 90 degrees
The total degrees of a triangle is 180
180 - 35 - 90 = 55
find the 19th term in each sequence. 11, 33, 99, 279
Answer:
Step-by-step explanation:
hello : note 297 no 279
297 =3×99
99 = 3 ×33
33=3×11
this the geometric sequence. ( comon : 3)
the nth term is : An = A1 × r^n when : r = 3 and A1 =11
if n = 19 A19 = 11×3^19
i know this is probably simple but ive forgotten how to do it and i cant find it in my notes help appreciated!
Answer:
? = 13.6
Step-by-step explanation:
the angle between a tangent and the diameter = 90°
Then the triangle is right with legs 2 × 6 = 12 and 6.4
using Pythagoras' identity in the right triangle.
the square on the hypotenuse is equal to the sum of the squares on the legs , that is
? ² = 12² + 6.4² = 144 + 40.96 = 184.96 ( take square root of both sides )
? = [tex]\sqrt{184.96}[/tex] = 13.6
PLS HELP ME ASAP I WILL MARK THE BRAINLIEST
For Cylinder:
SA = 578.05 yd^3
V = 955.04 yd^3
For Trapezoidal Prism:
SA = 510.4 ft^2
V = 275 ft^3
Cylinder: Second Image
diameter - D
area - A
radius - R
height - H
volume - V
surface area - SA
PI = 3.14159...
R = D/2
R = 8/2
R = 4 yd
Surface Area:
SA = 2×PI×R×H + 2×PI×R^2
SA = 2×(3.14159×4×19) + 2(3.14159×(4)^2)
SA = 578.05 yd^3
Volume:
V = PI×(R^2)×h
V = 3.14159×(4^2) × 19
V= 955.04 yd^3
Trapezoidal Prism: First Image
lateral area - LA
area of base - BA
base - B
width - W
height - H
volume - V
surface area - SA
Volume:
V = BA × H
V =( L×W + 0.5(B×H)) × H
V = (5×7 + 0.5(8×5)) × 5
V = 275 ft^3
Surface area:
Lateral area is the sum of all the areas excluding the area of the base.
LA = a×l + b×l + c×l + d×l
LA = l(a+ b + c + d)
LA = 11(5 + 9.4 + 15 + 7)
LA = 400.4 ft^2
BA = L×W + 0.5(B×H)
BA = 5×7 + 0.5(8×5)
BA = 55 ft^2
SA = 2×BA + LA
SA = 2×55 + 400.4
SA = 510.4 ft^2
What is the area of this figure?
Answer:
119 cm²
Step-by-step explanation:
The area of a composite shape can be found by dividing it into shapes whose area formulas you know.
__
Here, the shape can be divided into 3 rectangles by extending the vertical lines through the figure. Left to right, those rectangles are ...
2 wide × 17 hign ⇒ area = (2 cm)(17 cm) = 34 cm²
10 wide × 7 high ⇒ area = (10 cm)(7 cm) = 70 cm²
5 wide × 3 high ⇒ area = (5 cm)(3 cm) = 15 cm²
Then the total area is ...
(34 +70 +15) cm² = 119 cm²
Design An art class is making a mural for their school which has a triangle drawn in the middle.
The length of the bottom of the triangle is X. Another side is 5 more than four times the length of the
bottom of the triangle. The last side is 11 more than the bottom of the triangle. Write and simplify
an expression for the perimeter of the triangle.
Answer:
6x+16
Step-by-step explanation:
Bottom :x
Side1:4x+5
Side2:x+11
perimeter = x+4x+5+x+11
=6x+16
the net of a square pyramid and its time engines are shown in the diagram what is the lateral surface area in square feet?
A 960
B 336
C 240
D 192
Answer:
c
Step-by-step explanation:
can u help... 8th grade math
Pls Help Choose the correct word to complete the statement: If BC intersects circle A only at point B, and mCBA = 90°, then CB is a
Line CB touches circle A only at one point (point B), hence CB is a tangent.
What is a circle?A circle is the locus of a point such that its distance from a fixed point (center) is always constant.
When a line intersects a circle in exactly one point the line is said to be tangent to the circle
Hence since Line CB touches circle A only at one point (point B), hence CB is a tangent.
Find out more on circle at: https://brainly.com/question/24375372
3(x+ 7) = -12
x + 7 =
X =
Answer:
x = - 11
x + 7 = -4
Step-by-step explanation:
[tex]3(x + 7) = - 12 [/tex]
Multiply each term in parentheses by 3
[tex]3x + 3 \times 7 = - 12[/tex]
Multiply 3 and 7
[tex]3x + 21 = - 12[/tex]
Move the constant to the right side and change the sign
[tex]3x = - 12 - 21[/tex]
Find the sum of negative numbers
[tex]3x = - 33[/tex]
Divide both side by the same number
[tex]x = - 11[/tex]
= x + 7
= -11 + 7
Add the term - 11 + 7
= -4
Hey ! mate
Answer:
x + 7 = -4x = -11Step-by-step explanation:
In this question we have given an equation that is 3( x + 7 ) = -12 and we have asked to find the value of x + 7 and x .
We are starting our solution from here :
[tex] \longmapsto \: 3( x + 7 ) = -12 [/tex]
Transposing 3 to right hand side :
[tex] \longmapsto \: x + 7 = \frac{ - 12}{3} [/tex]
Now , dividing -12 by 3 :
[tex] \longmapsto \: \blue{\boxed{x + 7 = -4}}[/tex]
Therefore , value of x + 7 is - 4 .Now ,
[tex] \longmapsto \:x + 7 = - 4[/tex]
Transposing 7 to right hand side :
[tex] \longmapsto \:x = - 4 - 7[/tex]
[tex] \longmapsto \: \blue{ \boxed{x = - 11}}[/tex]
Therefore , value of x is -11 .#Keep Learningselected value of each decimel number when it is rounded to the nearest whole number
Answer:
5665Remember the decimal hundredths rounding ruleset.
If a decimal is below .50, round down.If a decimal is .50, round up.If a decimal is above .50, round up.View this array below to get a better image.
[tex]\left[\begin{array}{ccc}0.49(down)&0.50(up)&0.51(up)\end{array}\right][/tex]
So, for example, if you had 6.51, you would round that up to 7, and if you had 8.47, you would round that to 8
Use substitution to solve the system.
Y=2x+11 5x+2y=-14
X=
y=
Answer:
x = -4, y = 3
Step-by-step explanation:
1. Substitute 2x + 11 for y:
5x + 2(2x + 11) = -14
2. Simplify:
2(2x) = 4x
4x + 5x = 9x, 2(11) = 22
so,
9x + 22 = -14
3. Isolate x:
9x + 22-22 = -14-22 = 9x -36
9x/9 = -36/9
x = -4
4. Plug in the value of x in to solve for y:
y = 2(-4) + 11
y = 3
hope this helps!