Answer:
the height is 54.99 ft or 659.84 in
Step-by-step explanation:
We know that the sides of similar triangles are proportional, so we can write:
2 ft / 6 ft 3 in = x / 171 ft 10 in
Now what we must do first and pass everything to the same unit of measurement:
Knowing that 1 foot equals 12 inches:
6 ft 3 in = 6 ft * 12 in / ft + 3 in = 72 + 3 = 75 in
171 ft 10 in = 171 ft * 12 in / ft + 10 in = 2052 + 10 = 2062 in
2 ft = 2 ft * 12 in / ft = 24 in
replacing:
24 in / 75 in = x / 2062 in
x = 24 * 2062/75
x = 659.84 in
Or they would also be 659.84 in * 1 ft / 12 in = 54.99 ft
That is, the height is 54.99 ft or 659.84 in
Find the volume round to the nearest tenth ( show work)
Answer:
2,144.7
4 x pi x (radius x radius x radius / 3)
4 x pi = 12.5663706
8 x 8 x 8 / 3 = 170.66
12.5663706 x 170.67 =2,144.66 rounded is 2,144.7
Hope this helps
Step-by-step explanation:
please help with this question
Answer:
loose sweets
Step-by-step explanation:
Let's find the price of the pre-packed and loose candy per gram, since they specified that you need to calculate the price per gram.
A better value would mean that the price is lower per gram.
pre-packed candies
120g ----- £1.49
1 ----- 1.49 ÷120= £0.0124 (3 s.f.)
loose sweets
100g ----- £0.89
1g ----- £0.89 ÷100= £0.0089
since £0.0089 < £0.0124, the loose sweets cost lesser per gram and thus is a better value.
Determine the constant of variation for the direct variation given
2
1
1/2
Answer:
2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite direction. The
number b varies directly with the number a. For example b = 2 when a = -2. Which equation represents this direct
variation between a and b?
b = -a
-b= -a
b - a = 0
b(-a)=0
Answer:
b=-a
Step-by-step explanation:
we know that b is located the same distance from 0 as another number, a, but in the opposite direction.
so the sum of the two numbers equal zero
a+b=0
a=-b or b=-a
A shipping container is in the shape of a right rectangular prism with a length of 13 feet, a width of 4.5 feet, and a height of 6 feet. The container is completely filled with contents that weigh, on average, 0.78 pound per cubic foot. What is the weight of the contents in the container, to the nearest pound?
Answer:
The volume of the right rectangular prism is 12* 8.5 * 4 = 408 content density is 0.25 pounds
Step-by-step explanation:
The mileages of cars in a fleet of cars are normally distributed with a mean mileage of 52,000 miles and a standard deviation of 2,000 miles. What is the probability of randomly selecting a car with a mileage less than 52,000 miles?
Answer:
50%
Step-by-step explanation:
We have that the mean is 52000 miles (m) and the standard deviation is 2000 miles (sd), so we are asked:
P (x <52000)
P ((x - m) / sd <(52000 -52000) /2)
P (z <0)
If we look in the normal distribution table we have to:
P (x <52000) = 0.5
That is, the probability is of randomly selecting a car with a mileage less than 52,000 miles 50%
A box contains cards that are numbered from 1 to 100. What is the probability of randomly selecting a number that is less than
1/100
1/12
11/100
12/100
Answer:
1-100 cannot be more than 1 or 1 so the answer is 0/100
1-12 can be maximum 12/100
11/100 does not include 10 therefore 90/100
12/100 does not include 11 therefore 89/100
Step-by-step explanation:
1-100 cannot be more than 1 or 1 so the answer is 0/100
1-12 can be maximum 12/100
11/100 does not include 10 therefore 90/100
12/100 does not include 11 therefore 89/100
What is the midpoint of the vertical line segment graphed below?
Answer:
C.
Step-by-step explanation:
(5+5)/2 = 5, (4 + -5)/2 = -1/2
(5, -1/2)
TFW when you realize you answered two years too late...
Ann increased the quantities of all the ingredients in a recipe by 60% She used 80 grams (g) of cheese How much cheese did the recipe require?
Answer:g = 50 g
Step-by-step explanation:
She used 60% more than required ⇒ she used (1+0.60)=1.60 times what was required.
x = grams required by the recipe
80 g = 1.60x
x = (80/1.60) g = 50 g
What are the coordinates of the y-intercept of the equation 5x - 3y = 2?
A:(0, 2/5)
B:(0, 5/3)
C:(0,-2/5)
D:(0,3/5)
E:(0, -2/3)
Answer:
E
Step-by-step explanation:
Share £639 in the ratio 5:4
Answer:
The ratios are £355 and £284
Answer:
335: 284
Step-by-step explanation:
£639 in ratio 5:4
5+4 =9
639 / 9 = 71
71 × 5 = 355
71 ×285 =284
355:284
Find the mystery number from the following clues. • It is a two-digit number. • It is a factor of 48. • It is a multiple of 6. • The sum of the digits is 3.
Answer:
It might be 24 but probaly not.
Step-by-step explanation:
It is the first 3 , but am not sure about the last one.
Find the value of x from this question
Answer:
45 degrees
Method: Parallel
Factor completely: 32 + −10.
Answer:
22
Step-by-step explanation:
you are adding negative 10 so your number gets smaller
Traductor de español
¡Hola!
La pregunta le pregunta a Factor completamente 32 + -10. 32, un número positivo puede agregar a -10, un número negativo correctamente.
Respuesta: 22
Prueba: 32
+ -10
______
22
_____________________________________
English Translator
Hello!
The question asks Factor completely 32 + -10. 32, a positive number can add into -10, a negative number correctly.
Answer: 22
Proof: 32
+ -10
______
22
Which is greater 15/27 or 16/24
Answer:
16/24
Step-by-step explanation:
let’s use the GCF of both which is 3 for 15/27
15/27 divided by 3 is 5/9
for 16/24 the gcf is 8
16/24 / 8 is 2/3
now we have to multiply 2/3 times 3
2/3 times 3 6/3 which is 2
so 16/24 is greater.
The external angle of a regular polygon is 200 . How many sides does it have ? What is the measure of each interior angle? What is the total measure of its angles.
Answer:
An 18 sided shape.
Since the sum of the exterior angles of a polygon is 360° and an angle of the regular polygon is 20°, then 360° / 20° is the number of sides. We find the answer = 18, an octadecagon
Please check this for me i just learned scientific notation
Answer:
[tex]2.6373 \times 10^4[/tex]
Step-by-step explanation:
The starting number must always be in the ones' place, it cannot be in the tens place. And it must be between 1 and 10.
Answer:you are correct on all ur scientific questions:D
Step-by-step explanation:
So let’s see if ur correct
2(8-5)^2=18 (correct)
2*3^2
2*3*3
18
26.373*10^3=26,373(correct)
26.373*10*10*10
26,373
4^8*4^4= 16777216
4^12= 16777216(Correct)
Please Help!!!! Braniest will be given!!!!
Find the slope of the line through the given points.
(-3,6) and (1,2)
Answer:
m= -1
Step-by-step explanation:
hope this helps :)
Answer:
Step-by-step explanation:
[tex]slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{2-6}{1-[-3]}\\\\=\frac{-4}{1+3}\\\\=\frac{-4}{4}\\\\=-1[/tex]
Can someone help me please
Answer:
B
Step-by-step explanation:
To find DC
c²=a²+b² (pythagorean theory)
c²=6²+8²
c²=36+64. c²=100. √100. c=10cm
thus D =10.
AD= 15-6=9
To find AC
c²=a²+b²
c²=15²+8²
c²=225+64. c²=289 √289. c=17
AC=17
perimeter is the distance around a figure thus ADC=9+10+17
=36
Help please! Will give brainly! How are these patterns similar? How are they different? How are the number of dots in each pattern changing? How would you find the number of dots in the 5th step in each pattern?
Can anybody tell me the answer to this question in the picture?
Answer:
Option 2
Step-by-step explanation:
Group 2 does have a greater median. And group 1 is less spread out
Which equation is equivalent to 2^4x = 8^x-3?
Answer:
x=-3
Step-by-step explanation:
2^4x = 8^x-3
writing 8 as 2^3
2^4x = 2^3^x-3
We know a^b^c = a^(b*c)
2^4x = 2^(2*(x-3))
2^4x = 2^(2x-6)
The bases are the same so the exponents are the same
4x = 2x-6
Subtract 2x from each side
4x-2x= 2x-6-2x
2x=- 6
Divide by 2
2x/2 = -6/2
x = -3
What are the ratio as a fraction for 4:6
Answer:
[tex]\frac{4}{6}[/tex]
Step-by-step explanation:
or 4 over 6
i think this is right and i hope it helps:DHELP ME OUT ON THIS ONE ‘
Answer:
180 degrees rotation
Step-by-step explanation:
you take the. values of the object and multiply by -1 to obtain the values of the image
What addition expression is shown on the
number line?
8
+
?
15
Which of the following are perfect squares? Check all that apply.
A.) 16
B.) 64
C.) 15
D.) 49
E.) 11
F.) 62
Answer:
The answers are A, B and D
AC =
Round your answer to the nearest hundredth.
B
6
70degrees
A
?
с
Answer:
AC ≈ 2.18 units
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan70° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{6}{AC}[/tex] ( multiply both sides by AC )
AC × tan70° = 6 ( divide both sides by tan70° )
AC = [tex]\frac{6}{tan70}[/tex] ≈ 2.18 ( to the nearest hundredth )
What is the surface area of the prism, in square centimeters?
Answer:
1/2 x 6 x 4 x 10 = 120
Step-by-step explanation:
area of triangle x extended length
The number of patients treated at Dr. White's dentist office each day for nine days
is 16, 13, 15, 6, 21, 20, 12, 9, 12. Find the mean, median, mode, and range of
the data. If necessary, round to the nearest tenth.
A 13.8, 13, 12, 15
B 13.8, 12, 13, 27
C 15.8, 13, 12, 27
D 13, 15.8, 12, 15
Answer:
mean= 16+13+15+6+21+20+12+9+12/9
=13.8
median= 13
mode= 12
range= 15
Give the domain and range.
Answer:
D
Step-by-step explanation:
The domain is the x coordinates which are {-2,0,2}
Answer:
D = { -2, 0 2}
R = { -3,-1 ,1 }
Step-by-step explanation:
The domain is the input or x values
D = { -2, 0 2}
The range is the output or y values
R = { -3,-1 ,1 }
