The height of the triangle is 4 inches less than four times its
base. The area of the triangle is 112 in2. What is the height of
the triangle?
Answer:
h = 28 inches
Step-by-step explanation:
Let the base of the triangle is b.
the height of the triangle is 4 inches less than four times its base.
h = 4b-4
The area of the triangle is 112 inch².
The formula for the area of a triangle is given by :
[tex]A=\dfrac{1}{2}bh\\\\112=\dfrac{1}{2}\times b\times (4b-4)[/tex]
It is a quadratic equation, whose solution is as follows :
b = -7 and b = 8 inches
Height, h = 4(8)-4
= 32-4
= 28 inches
Hence, the height of the triangle is 28inches.
Cube roots of 1 are +1 and -1 (true and false)
False cube root of 1 is plus 1 only.
Insurance companies are interested in knowing the population percent of drivers who always buckle up before riding in a car. They randomly survey 387 drivers and find that 298 claim to always buckle up. Construct a 84% confidence interval for the population proportion that claim to always buckle up.
Answer:
The 84% confidence interval for the population proportion that claim to always buckle up is (0.74, 0.80).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
They randomly survey 387 drivers and find that 298 claim to always buckle up.
This means that [tex]n = 387, \pi = \frac{298}{387} = 0.77[/tex]
84% confidence level
So [tex]\alpha = 0.16[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.16}{2} = 0.92[/tex], so [tex]Z = 1.405[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.77 - 1.405\sqrt{\frac{0.77*0.23}{387}} = 0.74[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.77 + 1.405\sqrt{\frac{0.77*0.23}{387}} = 0.8[/tex]
The 84% confidence interval for the population proportion that claim to always buckle up is (0.74, 0.80).
Hi plz help, if you can ill mark you 5 starz! :)
Answer:
b and 288
Step-by-step explanation:
ywwwwwwwwwwww
Tienes $20 para gastar en la tarifa del taxi. El viaje cuesta
$5 más $2.50 por kilómetro.
Escribe una desigualdad para determinar la distancia
en kilómetros, d, que podrías recorrer por $20.
¿Cuál es la distancia máxima, en kilómetros, que
puedes recorrer por $20?
kilómetros.
Answer:
6 kilometers serian15 mas 5
A gumball machine has various colors of gumballs. There is a 10% chance that the next
gumball from the machine is red and 0.8 chance it is orange.
Is the next gumball more likely to be red or orange? Explain your reasoning.
Answer:
It is red
Step-by-step explanation:
The distance from Kevin's home to his school is 2 kilometers. Adrian lives 750
meters from the same school. How much closer does Adrian live to school than
Kevin?
1>) 250 meters
1>) 550 meters
» 1,250 meters
2,750 meters
Answer:
see my explanation!!
Step-by-step explanation:
2000-750=1250m
pls answer pls pls hurry
Answer: This can not be answered unless you choose a bigger photo.
Step-by-step explanation:
Sorry
P(A and B)=P(A)•P(B) is used when two events are used when two events are
Answer:
Independent.
Step-by-step explanation:
Independent events:
Two events, A and B, are said to be independent if the probability of both happening is the same as the multiplication of the probabilities of each happening, that is:
[tex]P(A \cap B) = P(A)P(B)[/tex]
Thus, P(A and B)=P(A)•P(B) is used when two events are independent.
Rewrite the following logarithmic expression as an exponential expression
Answer:
it should be the same answer....?
Step-by-step explanation:
Help!!!!!!!!!!! !!!!!
Answer:
D. 3900π
Step-by-step explanation:
volume = 1/3 πr²h ... r = 30, h = 13
v = 1/3 * 30² * 13 * π = 3900π
please help will give brainliest
Answer:
B
Step-by-step explanation:
Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.
X+7
X+1
Area=
ASAP!!!!!!
Answer:
Area = x² + 8x + 7
Step-by-step explanation:
Area of a rectangle formula = L * W
Length (L) of the given figure = (x + 7)
Width (W) of the given figure = (x + 1)
Area = L * W
Area = (x + 7) * (x + 1)
=> x * x = x²
=> x * 1 = 1x or x
=> 7 * x = 7x
=> 7 * 1 = 7
Combining it all together;
Area = x² + 1x + 7x + 7
Combine the like terms:
Area = x² + 8x + 7
Hope this helps!
The area of the entire rectangle in the polynomial form will be x² + 8x + 7.
What is the area of the rectangle?Let W be the rectangle's width and L its length. The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be given as,
Area of the rectangle = L × W square units
The dimensions of the big rectangle are x + 1 high and x + 7 long. Then the area of the rectangle is calculated as,
A = (x + 7)(x + 1)
Simplify the equation, then we have
A = (x + 7)(x + 1)
A = x² + 7x + x + 7
A = x² + 8x + 7
More about the area of the rectangle link is given below.
https://brainly.com/question/20693059
#SPJ2
pls help!! person with correct answer will be marked brainliest
need help will give brainiest
Answer:
1) ∠M
2) MT, GT
3) ∠G
4) not enough information...because we are given two congruent sides but an angle that is not included.
5) SAS because two sides are congruent (including the one they share) and an included angle.
6) SSS because three sides are congruent (including the one they share).
What are the algebraic properties of the logarithm function?
Answer:
344343234
Step-by-step explanation:
please help em with this
a) 5 m
b) 8 yd
Step-by-step explanation:
a) Take the ratios of the legs of the triangles. Since they are similar triangles, those ratios are equal.
d/(4 m) = (10m)/(8 m)
Solving for d,
d =(10/8)(4 m) = 5 m
b) m/(10 yd) = (12 yd)/(10 yd + 5 yd) = 12/15 = 4/5
Solving for m,
m = (4/5)(10 yd)
= 8 yd
Answer:
d = 5m
m = 6yd
Step-by-step explanation:
Question 1.)
We know that segment GF is half of CD, therefore EF would be half of CE.
=> CE / 2 = EF or d
=> 10 / 2 = EF or d
=> 5 = EF or d
Question 2.)
We know that segment DE is half of EF, so segment EG would be half of DH;
=> DH / 2 = EG or m
=> 12 / 2 = EG or m
=> 6 = EG or m
Hope this helps!
Find the missing probability.
Answer: d
Step-by-step explanation:
Which is an equivalent scale factor of Mr. Barrow's height to the height of the power pole?
A. 162:18
B. 6:54
C. 18:162
D. 54:6
9514 1404 393
Answer:
C. 18:162
Step-by-step explanation:
Both B and C are the same scale factor, and both correctly express the ratio of the shorter height to the longer one.
The ratio of choice C is directly obtained from the figure, so is probably the best choice.
i need the answer to
7(p + 1) = 2(3p + 1)
Answer:
p = -5
Step-by-step explanation:
7(p + 1) = 2(3p + 1)
Distribute on both sides.
7p + 7 = 6p + 2
Subtract 6p from both sides.
p + 7 = 2
Subtract 7 from both sides.
p = -5
Answer:
p = -5
Step-by-step explanation:
7(p + 1) = 2(3p + 1)
Distribute
7p +7 = 6p +2
Subtract 6p from each side
7p +7 -6p = 6p+2-6p
p+7 = 2
Subtract 7 from each side p+7-7 =2-7
p=-5
Determine the area of the triangle.
Answer:
no triangle given try to use a = 1/2(b x h) for the area
Step-by-step explanation:
The ratio of softballs to teams is 26:2. How many softballs would 8 teams have?
Answer:
104 softballs
Step-by-step explanation:
26 x 4 = 104
i know the answer but i need a thorough explanation on how to do this. pls answer the questions i have for brainliest thank you
Answer:
i think because it's powered by 4
GUYS QUICK! what is the surface area of a sphere that has a radius of 5 cm
Answer:
100 pi cm^2
or approximately 314 cm^2
Step-by-step explanation:
The surface area of a sphere is given by
SA = 4 pi r^2
The radius is 5
SA = 4 *pi * 5^2
SA = 4*pi(25
SA = 100 pi cm^2
If pi is 3.14
SA = 100 *3.14 = 314 cm^2
[tex]\large\fbox{\underline{Surfαcє αrєα σf sphєrє ís 314 cm ².}}[/tex]
Step-by-step explanation:◈ Gívєn ◈☞ Rαdíus σf sphєrє = 5 cm
◈ Tσ FínD ◈☞ Surfαcє αrєα σf sphєrє
◈ Fσrmulα nєєdєd ◈☞ Surfαcє αrєα σf sphєrє = 4 π r ²
◈ Sσlutíσn ◈usíng thє fσrmulα
surfαcє αrєα σf sphєrє = 4 π r ²
suвstítutє thє vαluєs
surfαcє αrєα σf sphєrє = 4 × 3.14 × ( 5×5 ) cm ²
mutíplчíng thє vαluєs
surfαcє αrєα σf sphєrє = 100 cm² × 3.14
Hєncє , Surfαcє αrєα σf sphєrє ís 314cm ².
–––––––––☆–––––––––help me pls i’m stuck
Answer:
m=1
Step-by-step explanation:
Slope is equal to the change in y over the change in x, or rise over run.
m=change in y / change in x
[tex]m=\frac{y_{2} -y_{1} }{x_{2}-x_{1} } \\m=\frac{-3-1}{-3-1}[/tex]
5(k+2)-3(k+2) combine to make simpiler
Answer:
2k + 4
Step-by-step explanation:
David,
Start by performing the indicated multiplication:
5(k+2)-3(k+2) becomes 5k + 10 - 3k - 6.
Next, combine like terms: 5k - 3k + 10 - 6 becomes 2k + 4
This 2k + 4 is the desired simpler result.
What is the value of log6 49?
Round your answer to two places.
Answer: 2.17
Step-by-step explanation: To get the answer you count the first two numbers on the Decimal Form, starting behind the period.
(2.17206626)
A cab company charges a flat fee of $4 for a new passenger. it then charges $2.35 per mile until until the destination is reached
1- 4m+ 2.35=total cost
2- 4m-2.35=total cost
3- 2.35-4m= total cost
4- 2.35m+4=total cost
PLEASE I NEED ANSWERS!!
Answer:
number 2 is your answer for your problem
Please show steps on how to solve
log7 -2b-9=-6
Answer: b= - -log10(7)+3/2
Step-by-step explanation: log 10 (7) -2b-9=-6 : b= - -log10(7)+3/2 (Decimal : b = -1.07745...)
so these are the steps how I got it I did log 10 (7)-2b-9=-6 subtract log 10 (7) -9 from both sides log 10 (7)-2b-9-(log10(7)-9)=-6-(log 10 (7) -9)
Simplify -2b= -log10(7)+3
Divide both sides by -2 -2b/2= - log 10(7)/-2+ 3/-2 if you simplify it should give you b= - -log10(7)+3/2 that should be your answer but i'm not sure those I think that's how you do it let me know if you got it right bye!
Write the number 9.9 x 10-5 in standard form.