Answer:
Option B: A triangle with side lengths 4 cm, 5 cm, and 15 cm
Step-by-step explanation:
Since we are dealing here majorly with sides, one condition is that each side has to be shorter than the sum of the other two sides and longer than their difference meaning that if we have a, b and c
The a value has to be shorter than the sum of b and c - a < b+c and the a value also has to be longer than their difference - a > b-c
In this example,we have side lengths 4 cm, 5 cm, and 15 cm. Taking a, b and c as 4 cm, 5 cm, and 15 cm respectively.
The sum of 5 and 4 is 9 and the third side 15 is greater than 9 when it is supposed to be less to construct a triangle.
a boy is standing 180 metres from the base of a tree. the angle of elevation to the top of the tree is 40°. what is the height of the tree?
Answer:
the height of the tree is about 151 meters
The science club sponsors is ordering caps and shirts for the boys and girls in the science club. There are 45 science club members. If the caps in some packages of 3 and the shirts come in packages of 5 what is the least number of packages of caps and church that will need to be ordered
Answer:
The least number of package of cap required is 15, while that of shirt is 9
Step-by-step explanation:
Total number of members = 45
The cap comes in package of 3
The shirt comes in package of 5
The least number of the package of caps they need to order is =?
Since they're 45 in numbers, we can divide 45 by 3 to know the total number of package required to go round.
Number of package of caps = 45 / 3
Number of package of caps = 15
We can also go ahead and find the number of package for shirt required by using the same method, only this time we'll divide it by 5 instead of 3
Number of package for shirt = 45 / 5
Number of package for shirt = 9
Therefore, the least number of package of caps required is 15 while that of shirt is 9
The point-slope form of a line that has a slope of
and passes through the point (3, 0) is shown.
y -0 =3(2-3)
What is the equation in slope-intercept form?
A. y=1/4x-3
B. y=1/4x3/4
C. y=3/4x-1/4
D. y=1/4x-1/12
Trapezoid EFGH is inscribed in a circle, with [tex]EF \parallel GH[/tex]. If arc GH is 70 degrees, arc EH is x^2 - 2x degrees, and arc FG is 56 - 3x degrees, where x > 0, find arc EPF, in degrees.
Answer:
Arc EPF is 240°
Step-by-step explanation:
Since the quadrilateral, EFGH is a trapezoid and EF is parallel to GH, we have;
∠HGF + ∠GFE = 180°
∠GHE + ∠GFE = 180°
∠HGF + ∠HEF = 180°
∴∠HEF = ∠GFE
In ΔHEF and ΔGFE
∠EHF = ∠EGF (Angles subtending the same segment)
With side EF common to both triangles and ∠HEF = ∠GFE , we have;
ΔHEF ≅ ΔGFE (Angle Angle Side rule)
Hence, side FG = EH
For cyclic trapezoid side FG = EH
The base angles subtended by GH = 70
Arc EH = x² - 2·x
Arc FG = 56 - 3·x
Therefore;
70 + x² - 2·x + 56 - 3·x + arc EPF = 360 .............(1)
Also since the equation of a circle is (x-h)² + (y-k)² = r², where the center of the circle is (h, k), then as EF is a displacement of say z from GH, then arc EH = FG which gives;
x² - 2·x = 56 - 3·x
x² - 2·x - 56 + 3·x = 0
x² + x - 56 = 0
(x - 7)(x + 8) = 0
Therefore, since x > 0 we have x = 7
Plugging in the value of x into the equation (1), we have
70 + 7² - 2·7 + 56 - 3·7 + arc EPF = 360 .............(1)
70 + 70 + arc EPF = 360
arc EPF = 360 - 140 = 240°.
A spherical boulder is 26 ft in diameter and weighs almost 8 tons. Find the volume. Use 3.14 for it
The volume of the boulder is approximately 13
(Round to the nearest whole number as needed.)
Answer:
530 ft.
Step-by-step explanation:
π(r)^2
3.14(13)^2
= 530.66 rounded to the nearest whole number
= 530
Emma jogs 2 miles along the beach in 1 3 of an hour. If she travels at a constant rate, how far will she jog in an hour? 1. Use the known information to write a rate. Emma's rate: 2 miles 1 3 hours 2. Write an equivalent rate with a denominator of 1. 2(3) miles 1 3 (3) hours = ? 1 hour She will jog miles.
Answer:
Step-by-step explanation:
Emma jogs 2 miles along the beach in 1/3 of an hour. At a constant rate, the distance that she jogs on 1 hour would be
Let x represent the number of mikes that she would jog in 1 hour.
If 2 miles = 1/3 of an hour, then
x = 1 hour
Cross multiplying, it becomes
x × 1/3 = 2 × 1
x/3 = 2
x = 3 × 2 = 6 miles
The equivalent rate with a denominator of 1 is 6/1 miles
Answer:
The Answer Is 6.
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A bag contains 3 red balls and two blue balls. A ball is taken out random from the bag and then put back. A second ball has been taken out of the bag. What is the probability that: (a) both balls are red, (c)b both balls are the same color, (c) at least one of the balls is red. Answer
Answer:
a . 9/25
b. 13/25
c. 3/5
Step-by-step explanation:
Firstly, we add the number of balls to get the total number of balls = 3 + 2 = 5 balls
P(R) = number of red/total number of balls = 3/5
P(B) = number of blue/total number of balls = 2/5
Since the experiment is with replacement, whatever ball picked would be returned
a. Probability of both balls being red = P(R) * P(R) = 3/5 * 3/5 = 9/25
b. Probability of both balls being same color;
That is : probability of both balls being red or both being blue
Mathematically that would be;
P(R) * P(R) or P(B) * P(B)
whenever we have or in probability, what we do is to add ;
= (3/5 * 3/5) + (2/5 * 2/5) = 9/25 + 4/25 = 13/25
C. at least one of the balls is red
what this means is that both are red or one of the two is red.
Mathematically;
P(R) * P(R) or P(B) * P(R)
= (3/5 * 3/5) + (3/5 * 2/5)
= 9/25 + 6/25 = 15/25 = 3/5
Problem:
The pile of blocks above weighs 2 pounds. How many ounces do the blocks weigh?
A
32 ounces
B
16 ounces
C
1 ounce
D
64 ounces
End
Session
the answer is 32 ounces this same queston is in my notes
hope it likes you...
2.25x = 1.5x + 6
What is the value of x
Answer:
x=8
Step-by-step explanation:
2.25x=1.5x+6
-1.5x -1.5x
0.75x=6
3/4x=6
x=6*4/3
x=24/3
x=8
Answer:
8
Step-by-step explanation:
Look at the attachment
Sheila has 11 1/2 pounds of potato salad. She wants to divide the potato salad into containers, each of which holds 1 3/4 pounds. How many containers does she need? Complete the explanation.
Containers are counted in numbers, so she will need containers.
Hello!
Answer:[tex]\boxed{ \bf Sheila~will~need~about~7~containers.}[/tex]
__________________________________________________
Explanation:First, we will need to convert the mixed fractions to improper fractions.
Numerators: (2 · 11) + 1 = 23
(4 · 1) + 3 = 7
Denominators: stay the same.
11 [tex]\frac{1}{2}[/tex] ⇒ [tex]\frac{23}{2}[/tex]
1 [tex]\frac{3}{4}[/tex] ⇒ [tex]\frac{7}{4}[/tex]
Next, we must divide these two fractions:
[tex]\frac{23}{2}[/tex] ÷ [tex]\frac{7}{4}[/tex]
We must flip the divisor into a reciprocal:
[tex]\frac{23}{2}[/tex] ÷ [tex]\frac{4}{7}[/tex]
Change the division sign to multiplication and multiply:
[tex]\frac{23}{2}[/tex] × [tex]\frac{4}{7}[/tex] = [tex]\frac{92}{14}[/tex]
To find out how many containers will be needed, simply convert this fraction to a decimal by dividing the numerator by the denominator.
92 ÷ 14 = 7 (Rounded)
When there is a 20.1 mihr wind, an airplane can fly 630 mi with the wind in the same time that it can fly 521 mi against the wind. Find the speed of the plane when there is no wind.
Answer:
the speed of the plane when there is no wind is 212.25 mi/hr
Step-by-step explanation:
Let v represent the speed of the plane without wind.
Wind speed = 20.1 mi/hr
The resultant speed with wind is;
v + 20.1 mi/hr
The resultant speed against wind is;
v - 20.1 mi/hr
Let t represent the time for the travel.
With wind;
(v+20.1)t = 630 ......1
Against wind;
(v-20.1)t = 521 ......2
Divide equation 1 by 2
(v+20.1)/(v-20.1) = 630/521
Cross multiply;
521(v+20.1) = 630(v-20.1)
Collecting like terms;
v(630-521) = 20.1(630+521)
v = 20.1(1151)/109
v = 212.25 mi/hr
the speed of the plane when there is no wind is 212.25 mi/hr
Which of the following fractions is equivalent to 3/5 ?
A 1/2
B 3/8
C 6/20
D 9/15
can someone help me with this question
Answer:
Female:
Total 26
Male:
Rovers 9
City 8
Total 24
Total (along the bottom):
Rovers 20
United 10
What is the area of the triangle (I need this today pls help)
Answer: 24 units^2
(12*4)/(2)=24
Step-by-step explanation:
Answer:
Step-by-step explanation:
4*12/0.5=96
Robin is 11 years old. Her mother, Gwen, is 2 years more than 3 times Robins age. How old is Gwen?
Answer:
35
Step-by-step explanation:
11 × 3 = 33
+ 2 = 35
Robin is 11 (11)
Gwen is 2 years (+2) more than 3 times (×3) Robins age
Answer:
35.
Step-by-step explanation:
Hello there!
Solve the given equation to find Gwen's age:
3(11)+2
33+2
35
:)
Need help, check attached image
Answer:
...
Step-by-step explanation:
(x-1) will cancel each other so the answer is the last one
I need this answer please tell me the answer
Answer:
less than
[tex]1 \frac{1}{2} [/tex]
I believe
PLEASE HELLPPP
what is : -4(3-5)+10-3(7+4)+30
Answer:
15
Step-by-step explanation:
Use PEMDAS for this:
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
-4(3-5)+10-3(7+4)+30 = -4(-2)+10-3(11)+30
-4(-2)+10-3(11)+30 = 8+10-33+30
8+10-33+30 = 18-33+30
18-33+30 = -15+30
-15+30 = 15
Find the height of a rectangular prism if the surface are is 288 square centimetres and the base has a length of 4 centimetres and a width of 9 centimetres.
The height of a rectangular prism is 8.3 cm.
What is Surface Area?The area is the space occupied by a two-dimensional flat surface. It is expressed in square units. The surface area of a three-dimensional object is the area occupied by its outer surface.
We have,
Surface Area = 288 square cm
Base length = 4 cm and width = 9 cm
So, SA of rectangular prism
288 = 2(lw+ wh + lh)
144 = (36 + 9h + 4h)
13h = 144- 36
13h = 108
h = 8.30 cm
Learn more about Surface area here:
https://brainly.com/question/29298005
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The dogs in an animal parade are grouped by size. There are 18 small dogs, 12 medium-sized dogs, and 10 large dogs. If one dog is randomly chosen to lead the parade, what is the probability that a medium-sized dog will be chosen
Answer:
0.3
Step-by-step explanation:
Given:
Number of small dogs = 18
Number of medium-sized dogs = 12
Number of large dogs = 10
To find: probability that a medium-sized dog will be chosen
Solution:
Probability refers to chances of occurrence of some event.
Probability = number of favourable outcomes/total number of outcomes
Total number of dogs = 18 + 12 + 10 = 40
Number of medium-sized dogs = 12
So,
probability that a medium-sized dog will be chosen = Number of medium-sized dogs/Total number of dogs = [tex]\frac{12}{40}=0.3[/tex]
Answer:
0.3
Step-by-step explanation:
What is 0.12¯¯¯¯ expressed as a fraction in simplest form?
Enter your answer in the box.
Answer:
100÷12=50÷6=25÷3
Step-by-step explanation:
the answer is 25÷3
To convert 13 yards to feet you would use the ratio 1yard/3 feet
Answer: False
Step-by-step explanation:
Factorise this expression as fully as possible
4x^2+x^3
Answer:
x^2(4+x)
Step-by-step explanation:
you have to factor out x^2 off both equations since that's the only thing that you can divide off the equations
Out of a sample of 94 purchases at the drive-up window of a fast-food establishment, 27 were made with a major credit card. Find a 98% confidence interval for the population proportion of purchases paid with a major credit card.
Answer:
The 98% confidence interval for the population proportion of purchases paid with a major credit card is (0.1786, 0.3958).
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 zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
For this problem, we have that:
[tex]n = 94, \pi = \frac{27}{94} = 0.2872[/tex]
98% confidence level
So [tex]\alpha = 0.02[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.327[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2872 - 2.327\sqrt{\frac{0.2872*0.7128}{94}} = 0.1786[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2872 + 2.327\sqrt{\frac{0.2872*0.7128}{94}} = 0.3958[/tex]
The 98% confidence interval for the population proportion of purchases paid with a major credit card is (0.1786, 0.3958).
What is the measure of AC?
a.5 units
b.13 units
c.26 units
d.39 units
Answer:
twenty six units putfghdjk
Answer:
c
Step-by-step explanation:
I NEED THIS ASAP, THANKS!!! I WILL MARK BRAINLEIST!
Why is it important to describe the variable in an expression? Thank you!
9514 1404 393
Explanation:
Understanding what a variable stands for is essential when substituting values or interpreting answers.
__
For example, consider the equation for arc length:
s = rθ
The variables stand for ...
s — arc length in units of distancer — radius of the arc in the same units of distanceθ — the angular measure of the arc in radians (unitless)For proper use of this formula, it is essential to understand that the variables s and r have the same units of length. The angular measure is not degrees (or grads), but is the unitless measure of angles known as radians.
It would be erroneous to use feet or yards for 'r' and expect the arc length 's' to be in miles. Similarly, it would be erroneous to substitute 30° for θ, instead of the equivalent radian measure π/6.
These errors can be avoided if the variables are properly described.
What is the value of x in the equation below?
3(12x- 24) = 16
O 2
6
08
10
Answer:
x = 2,444
Step-by-step explanation:
3(12x - 24) = 16
36x - 72 = 16
36x = 16 + 72
36x = 88
x = 88/36
x = 2,444
What is the volume of this rectangular prism?
-
4.8 cm
4.1 cm
15 cm
Answer:
295.2 cm^3
Step-by-step explanation:
Volume of a prism = length * width * height.
Here the volume = 4.8 * 4.1 * 15
= 295.2 cm^3.
The volume of rectangular prism is 295.2[tex]cm^{3}[/tex]
What is rectangular prism?A rectangular prism is a polyhedron with two congruent and parallel bases. It is also called a cuboid. A rectangular prism has six faces, and all the faces are in a rectangle shape and have twelve edges. Because of its cross-section along the length, it is said to be a prism.
What is the volume of rectangular prism?To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.
According to question
Length of rectangular prism = 4.8cm
Breath of rectangular prism = 4.1cm
Height of rectangular prism = 15cm
Volume of rectangular prism = Length * Breath * height
= 4.8*4.1*15
= 295.2[tex]cm^{3}[/tex]
Hence, Volume of rectangular prism is 295.2[tex]cm^{3}[/tex]
To know more about rectangular prism here :
https://brainly.com/question/21308855
# SPJ2
A triangle has an area of 30 square centimeters.
If the height of the triangle is 5 1/2 centimeters, what is the base length?
Answer: 10.9 cm
Step-by-step explanation:
The equation to find the area of a triangle is
Base x height x 1/2 = area
Since you are given the area, rearrange or “do the opposite” to find the base
(Area x 2 ) / height = base
30 x 2 = 60
60/ 5.5 = 10.9
Hope this helped :)
The music teacher has a list of 128 students who have signed up for music classes. The music teacher can register 6 students in each class. What is the least number of classes needed for all the students to be registered in a class?
Answer:
24
Step-by-step explanation:
Divide 128 by 6 and get 23.3 but the .3 you need an extra class to fit the .3 in so add one class.
