Answer:The length of the third side 2.5.
Step-by-step explanation:
We already know the length of two side but we don’t know the length of one side so we will represent it by b and we know they three lengths add up to 12b+5.
4b + 3b+15 +b =12b + 5
Solve for b.
8b +15=12b +5
-8b -8b
15+4b +5
-5 -5
4b/4=10/4
B=2.5
So the length of the third side is 2.5
4(2.5) + 3(2.5)+15+2.5=12(2.5)+5
35=35
25POINTS!!!
In ΔFGH, h = 7.1 cm, f = 6.7 cm and ∠G=103°. Find the length of g, to the nearest 10th of a centimeter.
Answer:
10.8 cm
Step-by-step explanation:
Using cosine law
g² = 7.1² + 6.7² - 2(7.1)(6.7)cos(103)
g² = 116.7018433
g = 10.80286274
Answer:
10.8
Step-by-step explanation:
deltamath
Solve the following inequality for hh. Write your answer in simplest form.
h-8>4h+5
Answer:
h<-13/3
Steps:
Move variable to the left side and change its sign
h-4h-8>5
Move constant to right and change its sign
h-4h>5+8
Collect like terms
-3h>5+8
Add the numbers
-3h>13
Divide both sides of the inequality by -3 and flip the inequality sign
h<-13/3
Find the sum: 4√3+11√12
15√15
15√3
26√3
48√3
Answer:
26√3
Step-by-step explanation:
4√3+11√12
We know that sqrt(ab) = sqrt(a) sqrt(b)
4√3+11[tex]\sqrt{4} \sqrt{3}[/tex]
4√3+11*[tex]2 \sqrt{3}[/tex]
4√3+22 [tex]\sqrt{3}[/tex]
Combine like terms
26√3
Answer:
[tex]26\sqrt{3}[/tex]
Step-by-step explanation:
Simplify them:
[tex]11\sqrt{12} = 22\sqrt{3}[/tex]
[tex]22\sqrt{3}+4\sqrt{3}=26\sqrt{3}[/tex]
How much water will it take to fill the aquarium?
Please anawer this question. Will put as brainliest if i get an answer
Answer:
4096
Step-by-step explanation:
You multiply 32 in. by 8 in. by 8 in.
Answer:
4096
Step-by-step explanation:
to find volume you can just multiply length, width, and height together :) Hope this helps!!! ❤
This is the last one!!!
Answer:
B
Step-by-step explanation:
the mean goes up more than the median
Suppose you arrange 50 counters into rows. The first row has 4 counters. Each row after that has 3 more counters than the row before. How many rows do you need to make to use all 50 counters? nothing rows
Answer:
20
Step-by-step explanation:
hope it right not the best with counting
You are jumping off the 12-foot diving board at the municipal pool. You bounce up at 6 feet per second and drop to the water. Your height (h) in feet above the water in terms of (t) seconds is given by h = -16t^2 + 6t + 12. What is the first step in determining the maximum height that you reach during your dive?
Answer:
h_max = 12.56 units
(the exercise does no specify the units)
Step-by-step explanation:
You have the following function:
[tex]h(t)=-16t^2+6t+12[/tex] (1)
To calculate the maximum height reach by you, you first derivative the function h(t) respect to t:
[tex]\frac{dh(t)}{dt}=-32t+6[/tex]
Next, you equal the result of the derivative to zero and you obtain t:
[tex]-32t+6=0\\\\t=\frac{6}{32}=\frac{3}{16}[/tex]
Then, you replace this value of t in the equation (1) and you obtain the maximum height:
[tex]h(t)=-16(\frac{3}{16})^2+6(\frac{3}{16})+12[/tex]
[tex]h(t)=12.56[/tex]
hence, the maximum height is 12.56 units
Which set of angles can form a triangle?
A: 2 acute and 1 right
B: 1 acute and 2 obtuse
C: 1 acute and 2 right
D: 1 acute, 1 right and 1 obtuse
Answer:
A: 2 acute and 1 right
Step-by-step explanation:
A triangle is a polygon that has 3 sides as well as three angles
Triangles can be can be classified based on their three sides as well as their three angles.
Based on their sides, we have 3 types of triangles.
1. Equilateral triangle: This means they have 3 equal sides.
2. Isoceles triangle: They have only 2 equal sides.
3. Scalene triangle: The 3 sides are not equal
Based on their angles, we have 3 triangles.
a. Acute triangle
b. Obtuse triangle
c. Right angle triangle.
One of the way by which we can form a triangle, is by forming it with 2 acute angles and 1 right angle.
Answer:
The correct option is;
A: 2 acute and 1 right
Step-by-step explanation:
Here we have the definitions of the angles as follows;
The sum of angles in a triangle = 180°
An acute angle is an angle less than 90°
An obtuse angle is an angle more 90 ° but less 180°
A right angle triangle is an angle equal to 90°
∴ A right angle triangle is an angle = 90°
Therefore, we compare each of the options
A: 2 acute and 1 right = <90 +<90 +90 < 180 =180 or >180 Possible
B: 1 acute and 2 obtuse = 1<90 + > 90 +>90 > 180°
C: 1 acute and 2 right = <90 + 90 + 90 > 180
D: 1 acute + 1 right + 1 obtuse = <90 + 90 + >90 > 180
Therefore, the only possible correct option is A.
If I have 21 cone shaped hats with a diameter of 16in and height of 9in. How much paper do I need to cover the hats?
Answer:
10584 inches of paper
Step-by-step explanation:
to find the surface area of a cone the formula you use is A= πr(r+h2+r2) *you need to divide 16 by two to find the radius 16 is the diameter*
and this subsituted is π8(8+9(2)+8(2)) and this equals 504 inches and you then multiply by 21 to get enough paper to cover all 21 cones and that equals 10584 inches
Mrs. Burdell's storage container is 3 feet long, 2 feet wide, and 8 feet tall. Can she fit 44 boxes that each has a volume of 1 cubic foot in her container? Explain your answer.
Answer:
Yes, she can fit 44 boxes if each has a volume of 1 cubic foot in her containerStep-by-step explanation:
If Mrs. Burdell's storage container is 3 feet long, 2 feet wide, and 8 feet tall, then the volume of the strorage container is expressed as shown;
Volume = Length *Breadth * Height
Volume of the container = 3*2*8 = 48ft³
If she each boxes she is to fit into the storage container has a volume of 1ft³, the total number of boxes she can fit into the container is expressed as:
Number of container = volume of the storage container/volume of a container
= 48ft³/1ft³
= 48 boxes
Since she can fit 48 boxes successfully in her storage tank, then she can fit 44 boxes as well into the storage tank since the total number of boxes the tank can take is greater tan the proposed amount of boxes in question.
So, yes she fit 44 boxes if each has a volume of 1 cubic foot in her container
A bowl contains 7 pennies, 9 nickels, and 4 dimes. Elyse removes one coin at random from the bowl and does not replace it. She then removes a second coin at random. What is the probability that both will be dimes?
Answer:
The probability is 3/95
Step-by-step explanation:
Okay this is a probability without replacement question.
Firstly we calculate the total number of coins = 7 + 9 + 4 = 20 coins
The probability that the first coin will be a dimes = number of dimes/total number of coins = 4/20 = 1/5
Now she removes a coin without replacement, if it was a dime, total number of coins becomes 19 and the total number of dimes becomes 3; Thus the probability of the second coins being a dimes = 3/19
Thus, the probability of both coins being dimes = probability of first coin being dimes * probability of second coins being dimes
= 1/5 * 3/19 = 3/95
plzzzzzzzzzzzzzzzzzzzz
Answer:
B
Step-by-step explanation:
I graphed the equation, and the highest point was at 3.7 feet in the air, 4 seconds into the flight. See the graph below. Hope this helps!
cha cha cha reallllllllllllll smooth what the answer?
Answer:
d=12
Step-by-step explanation:
7d-28=56
Add 28 to both sides
7d=84
Divide both sides by 7
d=12
Cha Cha Real Smooth indeed! :3
Answer:
d=12
Step-by-step explanation:
first step is to add 28 to both sides and get 7d=84
then divide 84 by 7
d=12
good luck :D
26, 21, 27, 33, 24, 29
Range:
Answer:
The range is 12
Step-by-step explanation:
the range is the biggest number minus the smallest
the biggest number is 33
the smallest number is 21
so 33-21=12 so
The range is 12
Answer: 12
Step-by-step explanation: The range is the difference between the greatest number in the data set and the least number in the data set which in this case is 33 - 21 or 12.
So the range of this data set is 12.
Use your ruler to draw a rectangle that measures
by 4 1/2 by 2 3/4 inches, and find its area.
Answer:
Area of rectangle, [tex]A=\dfrac{99}{8}\ \text{inch}^2[/tex]
Step-by-step explanation:
We have,
A rectangle that measures [tex]4\dfrac{1}{2}\times 2\dfrac{3}{4}[/tex].
It is required to find the area of the rectangle
The product of length and breadth of a rectangle is called its area. It can be calculated as :
[tex]A=4\dfrac{1}{2}\times 2\dfrac{3}{4}\\\\A=\dfrac{9}{2}\times \dfrac{11}{4}\\\\A=\dfrac{99}{8}\ \text{inch}^2[/tex]
So, the area of the rectangle is [tex]\dfrac{99}{8}\ \text{inch}^2[/tex].
Find the area of the composite figure.
a.) 364 sq ft
b.) 796 sq ft
c.) 800 sq ft
d.) 980 sq ft
Answer:
B. 796 sq ft
Step-by-step explanation:
All of these shapes are rectangles.
The formula for the area of a triangle is length x width.
Dining Room
26 x 14 = 364
Bedroom
14 x 8 = 112
Enclosed Porch
20 x 16 = 320
Then you add all of the products.
364 + 112 = 476
476 + 320 = 796
Find the slope of the line passing through the points (3, 8) (7, - 7)
Answer:
[tex]-\frac{15}{4}[/tex]
Step-by-step explanation:
To find the slope or the gradient of a line you have to utilise the formula
[tex]\frac{y2-y1}{x2-x1}[/tex]
Y₂ = -7
Y₁ = 8
X₂ = 7
X₁ = 3
So,
[tex]\frac{-7-8}{7-3}[/tex]
→ Simplify
[tex]-\frac{15}{4}[/tex]
By using the given points, we will see that the slope is -15/4.
How to find the slope of a line?
If we know that a given line passes through two known points (x₁, y₁) and (x₂, y₂), then the slope can be written as:
[tex]s = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Here the line passes through the points (3, 8) and (7, -7).
Using the above formula, we can see that the slope is:
[tex]s = \frac{-7 - 8}{7 - 3} = \frac{-15}{4}[/tex]
If you want to learn more about linear equations, you can read:
https://brainly.com/question/4074386
See the question above.
A) 96 ft2
B) 24 ft2
C) 48 ft2
D) 38 ft2
Answer:
C. 48 [tex]ft^2[/tex]
Step-by-step explanation:
The formula for finding the area of a triangle is:
[tex]\frac{1}{2}bh[/tex]
The "[tex]b[/tex]," is the base (10), and the "[tex]h[/tex]," is the height (9.6), so plug it in:
[tex]\frac{1}{2} (10)(9.6)\\[/tex]
[tex]\frac{1}{2} (96)[/tex]
48 [tex]ft^2[/tex]
2) On average, 75% of the planes leave on time. If 120 planes left on time
yesterday, how many total planes were there?
Answer:
Step-by-step explanation:160
hello i attached a picture of a simple trigonometry question please help <3
Side CD has a length of 11.67
Use the graph to find the relationship between variable
Where is the picture at?
Find the distance between point a and point b
Answer:
5 units
Since they both have the same y value, just subtract the a value's x from the b's x value
15 POINTS! will be selecting Brainliest!
How do I do this? Please give step-by-step answers + "work"- will be selecting Brainliest!
Amy has 2 crayons. Cameron gives her 5 more crayons. How many crayons does Amy have now?
Answer:
Amy now has 7 crayons.
Step-by-step explanation:
2 crayons + 5 crayons = 7 crayons.
Answer:
Amy has 7 crayons now
Step-by-step explanation:
2+5=7
You and two friends go to eat pizza there are two deals 10% off of 1 pizza or 30% off of 3 pizzas. Do you want to each pay separately and get 10% off of your bill or do you want to spl it the bill 3 wa
Answer:
Step-by-step explanation:
Assuming the price of 1 pizza is $x. Total number of pizzas is 3.
Considering the first deal,
10% off your pizza is 10/100 × x = 0.1x. The amount that you will pay is x - 0.1x = 0.9x
The cost of the remaining two pizzas is 2 × x = 2x
The total amount to be paid is
2x + 0.9x = $2.9x
Considering the second deal, 30% off the bill would be
30/100 × 3x = 0.9x
The amount to be paid is
3x - 0.9x = $2.1x
Therefore, I prefer the second deal
A cylinder has a height of 14 inches and a radius of 5 inches. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
Answer:
1099 inches
Step-by-step explanation:
We know that formula for volume of a cylinder is:
[tex]V=\pi r^2h[/tex]
[tex]V=\pi 5^2*14[/tex]
[tex]V=\pi 25*14[/tex]
[tex]V=\pi 350[/tex]
[tex]V=3.14*350[/tex]
[tex]V=1099[/tex]
Answer:
1099
Step-by-step explanation:
a system of equations is shown.
Answer:
x=4 , y=1
Step-by-step explanation:
y = 2x-7
y = -x +5
Set them equal to each other
2x-7 = -x+5
add x to each side
2x+x-7 = -x+x+5
3x-7 = 5
Add 7 to each side
3x-7+7 = 5+7
3x = 12
Divide by 3
3x/3 = 12/3
x=4
Now find y
y = -x+5
y = -4 +5
y = 1
Mark wanted to find out which types of movies students in his grade at school preferred. He divided the list of student names in his grade into boys and girls and then from each group, drew names from a hat so that the number in each group was proportional to the total number of boys and girls in his grade. Will this sample represent the population, and if so, which type of sampling method did Mark use? A. Yes, simple random sampling. B. Yes, systematic random sampling. C. Yes, stratified random sampling. D. No, this was not a random sample.
NOT"C"
Answer:
the answer is not b
Step-by-step explanation:
The random sampling used is stratified random sampling
What is simple random sampling ( SRS )?The most accurate type of probability sampling is random sampling. Each person in a population has an equal probability of getting selected for the sample thanks to this method of sampling.
This kind of sampling is perfect for highly controlled investigations where it is unacceptable to have human bias in the selection of the sample.
Each sampling unit in a population has an equal probability of being included in the sample when using simple random sampling (SRS). As a result, each potential sample has an equal probability of being chosen.
Given data ,
Mark used a stratified random sampling method by dividing the list of students into boys and girls and drawing from each group in proportion to their numbers in the population. This method helps ensure that the sample is representative of the population in terms of gender.
Hence , the sample is likely to represent the population. Answer: C. Yes, stratified random sampling.
To learn more about simple random sampling click :
https://brainly.com/question/30759604
#SPJ3
Solve each word problem using either method.
1.
Your parents took your family out to dinner. Your parents wanted to give the waiter a 15% tip. If
the total amount of the dinner was $42.00, what should be paid to the waiter as a tip?
PLEASE HELP
Answer:
it should be $6.30
Step-by-step explanation:
i put it in 2 different ways:
42x.15 and 42x15% both gave me 6.3
I need help immediately with middle school
Answer:
5*7=35 square units
Step-by-step explanation:
area of parrelogram =B×h
plzz mark me brainliest