Answer:
[tex]108 in^{2}[/tex]
Step-by-step explanation:
[tex]===========================================[/tex]
Formulas:
Area of a rectangle/square:
[tex]A=lw[/tex]
Area of a triangle:
[tex]A=bh\frac{1}{2}[/tex]
[tex]===========================================[/tex]
To find the square, length*width. Both the length and width are 6, so the area of the square is 36 in.
The triangles all have a base of 6 and a height of 6. So, 36 divided by 2 or multiplied by [tex]\frac{1}{2}[/tex]
You would get 18 in.
There are 4 triangles, so multiply 18 by 4. 72 in.
Add up 36 and 72.
The answer is 108.
[tex]===========================================[/tex]
[tex]108 in^{2}[/tex]
Come get your 11 points :)
A basketball-player scores a free-throw with probability 0.9. What is the probability that her first miss occurs on the 6th shot
Answer:
[tex]Pr = 0.059049[/tex]
Step-by-step explanation:
Given
[tex]p = 0.9[/tex] --- probability of scoring
Required
Probability that his first miss is his 6th shot
Let q represent the event that he did not score.
Using complement rule:
[tex]q = 1 - p = 1 - 0.9 = 0.1[/tex]
The event that his first miss is his 6th is represented as:
p p p p p q ---- That he scoress the first 5 attempts
So, the probability is:
[tex]Pr = p^5 * q[/tex]
[tex]Pr = 0.9^5 * 0.1[/tex]
[tex]Pr = 0.059049[/tex]
make b the subject of the formula
A=1/2bh
Answer:
[tex] \blue{b = \dfrac{2A}{h}} [/tex]
Step-by-step explanation:
[tex] A = \dfrac{1}{2}bh [/tex]
Step 1. Switch sides.
[tex] \dfrac{1}{2}bh = A [/tex]
Step 2. Since the fraction 1/2 multiplies b, multiply both sides by the reciprocal of 1/2 which is 2.
[tex] 2 \times \dfrac{1}{2}bh = 2 \times A [/tex]
[tex] bh = 2A [/tex]
Step 3. Since h is multiplying b, and you want b alone, divide both sides by h.
[tex] \dfrac{bh}{h} = \dfrac{2A}{h} [/tex]
Answer:
[tex] b = \dfrac{2A}{h} [/tex]
solve the simultaneous equation: y=2x²+3x-31 y= x= 21-2x
Answer:
1. x =(3-√257)/4=-3.258
2. x =(3+√257)/4= 4.758
Step-by-step explanation:
irst add
x
to both sides of the second equation to get:
y = x + 3
Then substitute this expression for y into the first equation to get:
29 = x 2 + ( x + 3 ) 2 = 2 x 2 + 6 x + 9
Subtract 29 from both ends to get:
0 = 2 x 2 + 6 x − 20
Divide both sides by 2 to get:
0 = x 2 + 3 x− 10 = ( x+ 5 ) ( x − 2 )
So x = 2 or x = − 5
If x = 2 then y = x + 3 = 5 .
If x = − 5 then y=x + 3 = − 2
So the two solutions
( x, y ) are ( 2 , 5 ) and ( − 5 , − 2 )
what single transformation maps triangle ABC onto A’B’C?
Answer:
the answer is rotation hope it helps ahhaha
A certain polygon has its vertices at the following points: (1, 1), (1, 8), (8, 1), and (8, 8)
Answer:
Can u explain more pls?
Step-by-step explanation:
Answer:
Square
Step-by-step explanation:
SOMEONE PLEASE HELP ME WITH THIS PROBLEM!!!!
9514 1404 393
Answer:
20.0 square units
Step-by-step explanation:
There are many ways the area can be computed here. Perhaps the intended one is to find the length of the third side, then use the usual triangle area formula.
b = √(c² -a²) = √(9² -7²) = √32 ≈ 5.7
Then the area is ...
A = 1/2bh = 1/2(5.7)(7) ≈ 20.0
The area is approximately 20.0 square units.
_____
Additional comment
It is highly unusual to make use of rounded intermediate results. That is a guarantee that the final answer will have more error than necessary. Ordinarily, you would never do that.
An alternate solution might be ...
angle = arccos(7/9) ≈ 38.9°
area = 1/2(7)(9)sin(38.9°) ≈ 19.8 . . . . square units (assuming the sine value is not rounded to 0.6)
Sandra y José son dos amigos que se encuentran en diferentes partes de la ciudad de Lima (Observa el plano), la distancia que los separa en el plano es de 7 cm ellos quisieran saber ¿Cuál es la distancia real en metros que los separa? Sabiendo que el plano ha sido dibujado a escala 1: 20 000.
Respuesta:
1,4 kilometros
Explicación paso a paso:
Dado que :
Distancia que separa a Sandra y José en el mapa = 7cm
Dibujo a escala = 1: 20.000; Esto se puede interpretar en el sentido de que 1 cm en el mapa equivale a 20.000 cm en el suelo.
Por tanto, una distancia de 7 cm en el mapa será:
20.000 * 7 = 140.000 cm en el suelo = distancia real
Por lo tanto, la distancia real = 140.000 cm.
Recordar :
1 cm = 10 ^ -5 km
140000 cm = 1.4 kilometros
Por lo tanto, la distancia real entre Sandra y José es de 1,4 km.
Please answer this, I need help
Answer:
For this exercise, we need to add to the $200 the cost of the hours the DJ has been working
If each hour costs 12.50 $ and he worked 8.5 hours, we can just multiply to see the price of their work: 12.5 * 8.5 = $106.25
Now, we can do the sum: 200 + 106.25 = $306.25
Weiling took part in a Mathematics quiz which consist of 60 questions. For every correct answer, 3 marks would be awarded. For every wrong answer, 2 marks would be deducted. Weiling answered all the questions and scored a totał of 140 marks for the quiz. How many questions did she answer correctiy?
Answer:
Right answer = 52
Wrong answers = 8
Step-by-step explanation:
Every correct answer = + 3
Every wrong answer = - 2
Number of correct answers = x
Number of wrong answers = y
x + y = 60 - - - (1)
3x - 2y = 140 - - - (2)
From (1) :
x = 60 - y
Put x = 60 - y into (2)
3(60 - y) - 2y = 140
180 - 3y - 2y = 140
180 - 5y = 140
-5y = 140 - 180
-5y = - 40
y = 8
x = 60 - y
x = 60 - 8
x = 52
Right answer = 52
Wrong answers = 8
Please help asap, how do I find the missing variables? (Trigonometry)
Answer:
x = 5.333 , y= 9.620764575
Step-by-step explanation:
sin(29)/x = sin(90)/11
x = 11* sin(29)/sin(90)
x = 5.333
(5.333)^2 + y^2 = 121
y^2 = 121 - (5.333)^2
y= 9.620764575
Which is a simplified form of the expression 3a + 7 – a – 7?
A. 2a
B. 4a
C. 2a + 14
D. 4a - 14
Answer:
A. 2a
Step-by-step explanation:
imagine an imaginary 1 in front of the a
3a + 7 – 1a – 7
subtract numbers without variables
3a + 7 – a – 7
3a-1a
subtract 1a from 3a
2a
Answer:
A. 2a
Step-by-step explanation:
3a + 7 - a + 7
= 3a - a + 7 - 7
= 2a + 0
= 2a
Who is sometimes referred to as the Columbus of statistics because his book made a fundamental contribution by attempting to demonstrate the quantitative characteristics of birth and death data
Answer: John Graunt
Step-by-step explanation:
John Graunt is referred to as the Columbus of statistics because his book made a fundamental contribution by attempting to demonstrate the quantitative characteristics of birth and death data.
He's regarded as the founder of demography which is the statistical study of the population of human beings.
Which product is negative?
(-3/8)(-5/7)(1/4)
(3/8)(-5/7)(-1/4)
(3/8)(5/7)(1/4)
(-3/8)(-5/7)(-1/4)
Answer:
[tex]( - \frac{ 3}{8} )( - \frac{5}{7} )( - \frac{1}{4} )[/tex]Step-by-step explanation:
[tex]( - \frac{ 3}{8} )( - \frac{5}{7} )( - \frac{1}{4} )[/tex][tex] \frac{3}{8} \times \frac{5}{7} \times (- \frac{1}{4} )[/tex][tex] \frac{3 \times 5}{8 \times 7} ( - \frac{1}{4} )[/tex][tex] - \frac{15}{56 \times 4} [/tex][tex] - \frac{15}{224} [/tex]Hope it is helpful.....Find the area of the kite
Answer:
the area to the kite is sixty-four
Step-by-step explanation:
multiply the width to the height
what is the explicit formula for this sequence
Answer:
A
Step-by-step explanation:
Start with the 3.
You know that there is a difference of 4 between (say) 2 and 5. The 3 is a sign that the sequence is increasing. The members of the sequence are going up.
n - 1 means that the nth terms is calculated as an and uses the number of terms to be n-1. That means that the first term is a1 which is the starting point of the sequence.
The answer is an = a1 + (n-1)*d
d = 3
a1 = - 7
So let's try the formula out.
a4 = -7 + (4 - 1)*3
a4 = -7 + 3 * 3
a4 = -7 + 9
a4 = 2
Is 2 the 4th term in the series? Yes it is!
Paul's company rents cars to people who are at least 25 years old. Which graph best represents the possible ages of people who can rent cars from Paul's company?
A number line with an open circle on 25, with shading to the right.
A number line with a closed circle on 25, with shading to the right.
A number line with an open circle on 25, with shading to the left.
A number line with a closed circle on 25, with shading to the left.
Answer:
A number line with a closed circle on 25, with shading to the right.
Explanation:
A closed circle means "greater than or equal to" or "less than or equal to".
A open circle means "less than" or "greater than"
Therefore, since the question says: "who are at least 25 years old", a closed circle is the correct answer.
And says it says "at least 25 years old" it means that it shaded to the right, and that the circle is on the number 25.
Answer:
A number line with a closed circle on 25, with shading to the right.
Step-by-step explanation:
...
Select the correct answer. Help
Solve the inequality and express your answer in interval notation
x^2 - 12x + 3 <0
Answer:
x is ( -∞, 6-√(33) ) U ( 6+√(33) , -∞ )
Step-by-step explanation:
I have attached the explanation on the image above, hopefully this help
A sum of money earns the interest ar the rate of Rs. 5 per Rs.25 in a year. how many years would it trible itself?
a. 5
b. 10
c.15
d. 20
Which statement about these two restaurant meals is correct? A. Neither meal contains any nutrients. B. Meal A is the more healthful choice. C. Meal B is the more healthful choice. D. Both meals are healthful choices.
Answer:
D. Both meals are healthful choices
Find the domain of the following piecewise function.
Answer:
[tex](2,8][/tex]
Step-by-step explanation:
Given
The attached piece wise function
Required
The domain
To do this, we simply consider the inequalities that bound the values of x.
The inequalities are:
[tex]2 < x < 4[/tex] [tex]4 < x < 8[/tex] and [tex]x \ge 8[/tex]
Combine the first two inequalities:
[tex]2 < x < 8[/tex] and [tex]x \ge 8[/tex]
For the inequality to be true, we must have:
[tex]2 < x \le 8[/tex]
In interval notation, the inequality is:
[tex](2,8][/tex]
Find the other endpoint of the line segment with the given endpoint and midpoint. Round to the
nearest tenth.
Endpoint (-5, 4) Midpoint (-10, 6)
75% of bis 12. What is b?
Answer:
9
Step-by-step explanation:
Answer: 16
Step-by-step explanation:
75=75/100=3/4
3/4*b=12
b=12/1*4/3
Find the measure of the missing angle using the exterior angle sum theorm.
Answer:
85°
Step-by-step explanation:
The exterior angle of a triangle is=sum of the opposite interior angles
So
? °=45°+40°
Solve for x. Round to the nearest tenth, if necessary. Calculating Sin or Cos or Tan
Answer:
1.06
Step-by-step explanation:
cos41⁰ = 0.8 ÷ X
X = 0.8 ÷ cos41⁰
Answer:
Step-by-step explanation:
Use SOH CAH TOA to recall how the trig functions fit on a right triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
x = Hyp (for this question)
Cos(41) = 0.8 / Hyp
use your algebra skillz
Hyp = 0.8 / Cos(41)
use your calculator to fund Cos(41) into 0.8
Hyp = 1.060010395 (that's all the decimal places my calc would go out to )
x = 1.1 ( rounded to nearest 10th )
Which rates are equal? Choose 2.
A. 630 miles per 9 hours
B. 1,320 miles
per 24 hours
C. 1,170 miles per 18 hours
D. 455 miles per 7 hours
E. 840 miles per 14 hours
Answer:
C. 1170 miles per 18 hours
D. 455 miles per 7 hours
Step-by-step explanation:
1170/18=65
455/7=65
Work out the height of this triangle with base, b = 8mm and
area, A = 218.8mm?,
Answer:
54.7 mm
Step-by-step explanation:
use the formula area= 1/2 base time height
A=1/2bh
Answer:
54.7mm
Step-by-step explanation:
Area=1/2b×h
218.8=0.5×8×h
218.8=4h
h=218.8÷4
h=54.7
3√75
simplest rationalizing factor
PLEASE DO ANSWER ONLY IF YOU KNOW IT
Answer:
the square root of 75 is 8.6
and 8.6 times 3 is
the answer is 25.8
Hope This Helps!!!
A saline solution has a weight of 1.12 kg per liter. What is the weight of the saline solution of 0.75 l?
Answer:
0.84 kg
Step-by-step explanation:
Given that :
Weight per liter = 1.12kg per liter
That is 1 Litre weighs 1.12 kilogram
The weight of saline solution of 0.75 Litre will be :
1 Litre = 1.12 kg
0.75 Litre = x
Cross multiply :
1 * x = 1.12 * 0.75
x = 0.84 kg
Hence, 0.75 Litre weighs 0.84 kg