The approximate surface area of this right triangular prism is 193.2cm
Surface area of prismThe surface area of a triangular prism is expressed as:
Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area)
Perimeter of the base = 6 + 6 + 6
Perimeter of the base = 18cm
Length of the prism = 9cm
Base area = 1/2 * 5.2 * 6
Base area = 15.6cm
Determine the surface area
Surface area = (18 * 9) + 2(15.6)
Surface area = 162 + 31.2
Surface area = 193.2 cm
Hence the approximate surface area of this right triangular prism is 193.2cm
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There are at least 6 tomato plants in Josephine’s garden. She plants 4 more tomato plants. Write and graph an inequality to show the number of tomato plants in her garden.
Answer:
10 ≤ x ≤ 10
explanation:
already has 6 tomato plantswill plant 4 more.Let the total tomato number be x
so inequality:
6 + 4 ≤ x ≤ 6 + 4
10 ≤ x ≤ 10
Answer:
[tex]n_t \geq 10 [/tex]
Step-by-step explanation:
Here it is given that there are at least 6 tomato plants in Josephine's garden. And she plants 4 more plants . We would like to plot a graph and write a inequality for the given situation.
Representation :-
[tex]\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(.5,0){17}{\line(0,1){.2}}\put(5,0.1){\vector(-1,0){6}}\put(5.01,0.1){\vector(1,0){4}}\put(-0.5,-0.4){$\sf -2$}\put( 0.2,-0.4){$\sf -1$}\put(.9,-0.4){$\sf 0$}\put(1.4,-0.4){$\sf 1$}\put(1.9,-0.4){$\sf 2$}\put(2.4,-0.4){$\sf 3$}\put(2.9,-0.4){$\sf 4$}\put(3.4,-0.4){$\sf 5$}\put(3.9,-0.4){$\sf 6$}\put(4.4,-0.4){$\sf 7$}\put(4.9,-0.4){$\sf 8$}\put(5.4,-0.4){$\sf 9$}\put(5.8,-0.4){$\sf 10$}\put(6.4,-0.4){$\sf 11$}\put(6.9,-0.4){$\sf 12$}\put(7.4,-0.4){$\sf 13$}\put(7.9,-0.4){$\sf 14$}\put(6,0.1){\circle*{0.2}}\put(6.01,0.4){\vector(1,0){4}}\put(2,2){$\textcopyright\sf RISH4BH $}\end{picture}[/tex]
Let the number of tomatoes be represented by [tex] n_t [/tex] .
We can write the first statment in inequality as ,
[tex]\longrightarrow n_t \geq 6 [/tex]
Since she added 4 more , add 4 to RHS ,
[tex]\longrightarrow n_t \geq 6 + 4 [/tex]
Simplify,
[tex]\longrightarrow \underline{\underline{\boldsymbol{ n_t \geq 10 }}}[/tex]
And we are done!
Dilate ABC below using A as the center and a
scale factor of 2. Leave all construction marks?
Explanation:
Use your straightedge to extend segment AB into ray AB. This means you'll have it start at A and go on forever through B. Repeat these steps to turn segment AC into ray AC.
The two rays join at the vertex angle A. Point A is the center of the universe so to speak because it's the center of dilation. We consider it an invariant point that doesn't move. Everything else will move. In this case, everything will move twice as much compared to as before.
Use your compass to measure the width of AB. We don't need the actual number. We just need the compass to be as wide from A to B. Keep your compass at this width and move the non-pencil part to point B. Then mark a small arc along ray AB. What we've just done is constructed a congruent copy of segment AB. In other words, we've just double AB into AB'. This means the arc marking places point B' as the diagram indicates.
The same set of steps will have us construct point C' as well. AC doubles to AC'
Once we determine the locations of B' and C', we can then form triangle A'B'C' which is an enlarged copy of triangle ABC. Each side of the larger triangle has side lengths twice as long.
Note: Points A and A' occupy the same exact location. As mentioned earlier, point A doesn't move.
What is the x-intercept of x^2-4x
Answer:
x int: (4,0)
Step-by-step explanation:
make y=0
x^2-4x=0 add 4 to both sides
x^2=4x divide by x
x=4
SOMEONE HELEP ME ON 3 and 4. ASAP DUED IN 30 mins
Answer:
3 is D 4 is B
Step-by-step explanation:
Source: trust me bro
Answer:
3) A
4) B
Step-by-step explanation:
Just substitute the values given for the variables.
Use your calculator and get your answer.
Darrell wants to see how much water is wasted by his leaky faucet. he put a 4-gallon bucket under the faucet. After 24 hours, the bucket was full.
if the same amount of water leaks each hour, how much water will be in the bucket after 60 hous?
Answer:
10 gallons of water
Step-by-step explanation:
4 divided by 24 equals 0.167 gallons per hour
0.167 times 60 equals 10 gallons in 60 hoursd
Explain step by step how you use the horizontal method to multiply the two polynomials 2a? - 3a +5 and 3a? + 4a - 4
I will give brainlist plsss answer fast
-6<2x+8<16 compound inequality
Answer:
- 7 < x < 4
Step-by-step explanation:
- 6 < 2x + 8 < 16 ( subtract 8 from each interval )
- 14 < 2x < 8 ( divide each interval by 2 )
- 7 < x < 8
label them in non linear function and linear function
Whats the value of z
Answer:
11.6
Step-by-step explanation:
11.6-8=3.6
3.6x5=8
Two rental CAR companies charge different fees they have some charges for company A and company B are shown in The table and graph Below.
Which statement is true about their pricing?
A Company A charges $40 a day more than Company B.
B Company B charges $40 a day more than Company A.
Company A charges a service fee that is $20 more than Company B charges
D Company A charges a service fee that is $20 less than Company B charges.
Answer:
I think it is d that's the right answer
What is it that I do with my life that will help me be better person
Listen to peoples problems, care about them and give advices.
How can you change grams into kilograms
Divide it by 1,000. One kilogram equals one thousand grams. This means that to get a pound of gram, you only have to divide the gram by 1,000.
pls helppp
You have 2 bags, bag 1 had 5 green marbles, 6 red marbles, 7 pink
marbles and 3 yellow marbles. bag 2 had 6 green marbles 2 red marbles 3 pink marbles and 8 yellow marbles if you pull one from each what is the probability of getting a pink marble from each bag?
Answer:
The answer is 4/10
Step-by-step explanation:
If you add all marbles in both bags it equals 40. There are 10 pink marbles in both so 40 / 10 is 4 and the denominator would be 10. 4/10
Answer:
The odds of getting a pink marble from the 1st bag are 7/21, .333 repeating, or approximately 33%.
The odds of getting a pink marble from the 2nd bag are 3/19, .158, or approximately 16%
Step-by-step explanation:
There are a total of 21 marbles in the first bag, and only 7 pink marbles. This means that when you reach into the bag, your odds are 7 out of 21 to select a pink marble. When divided, this can be changed to a percent or decimal.
There are a total of 19 marbles in the second bag, and only 3 pink marbles. When you reach into this bag, your odds are 3 out of 19 to select a pink marble. You can also divide this to become a percent or decimal.
Probability is often calculated in fraction or decimal form. If I flip a coin the odds of getting tails are 50% percent because there are only two possible outcomes, and tails is one of them. This gives you the fraction 1/2 (one-half), which is 50% when reduced.
Which set of angle measures can be the angle measures of a triangle?
A 31°, 60°, 90°31°, 60°, 90°
B 18.4°, 32.6°, 129°18.4°, 32.6°, 129°
C 125°, 25°, 40°125°, 25°, 40°
D 10°, 120°, 40°
Answer:
Step-by-step explanation:
There are two conditions that need to be in place.
The sum of the angles must equal 180There must be exactly 3 angles.A has too many angles. The answer is not A.
B same as A
C same as A
D doesn't add to 180. Not D
You have no answer unless there is another choice.
HCF of 99, 33, 121 using common division method
Answer:
11
Step-by-step explanation:
find HCF using factor tree
99={3×3×11}
33={3×11}
121={11×11}
HCF =11
For positive acute angles AA and B,B, it is known that \sin A=\frac{8}{17}sinA= 17 8 and \cos B=\frac{24}{25}. CosB= 25 24 . Find the value of \sin(A+B)sin(A+B) in simplest form
Answer:
sin(A+B) = 297/425
Step-by-step explanation:
This problem involves a couple of Pythagorean triples, and the trig identity for the sine of the sum of angles.
The Pythagorean triples involved are {8, 15, 17} and {7, 24, 25}. These tell us the other trig functions of the given angles:
sin(A) = 8/17 ⇔ cos(A) = 15/17
cos(B) = 24/25 ⇔ sin(B) = 7/25
The trig identity we're using is ...
sin(A+B) = sin(A)cos(B) +cos(A)sin(B)
sin(A+B) = (8/17)(24/25) +(15/17)(7/25)
[tex]\sin(A+B)=\dfrac{8\cdot24+15\cdot 7}{17\cdot25}\\\\\boxed{\sin(A+B)=\dfrac{297}{425}}[/tex]
_____
Check
A = arcsin(8/17) ≈ 28.072°
B = arccos(24/25) ≈ 16.260°
sin(A+B) = sin(44.332°) ≈ 0.6988235
sin(A+B) = 297/425
The relationship between a bacteria population p, in thousands, and time d, in days, since it was measured to be 1,000 can be represented by the equation .
Select all statements that are true about the situation.
© 2019 Illustrative Mathematics. All Rights Reserved.
Select all that apply:
A: Each day, the bacteria population grows by a factor of 2
B: The equation p=2^d also defines the relationship between the population in thousands and time in days
C: The population reaches 7,000 after log2(7,000) days
D: The expression log2(10) tells us when the population reaches 10,000.
E: The equation d=log2(p) represents a logarithmic function
F: The equation 7=log2(128) tells us that the population reaches 128,000 in 7 days.
The expression log₂(10) tells us when the population reaches 10,000 and the equation 7 = log₂(128) tells us that the population reaches 128,000 in 7 days.
What is an exponential function?An exponential function is in the form:
y = abˣ
Where a is the initial value of y and b is the multiplication factor.
Let p represent the bacteria population in thousand after d days.
Since each day, the bacteria population grows by a factor of 2, hence:
[tex]p=2^d[/tex]
Hence, d = log₂p represents a logarithmic function
The expression log₂(10) tells us when the population reaches 10,000 and the equation 7 = log₂(128) tells us that the population reaches 128,000 in 7 days.
Find out more on exponential function at: https://brainly.com/question/12940982
PLEASE HELP ME!!!!!!!!!
Answer:
Step-by-step explanation:
you could subtract and divid
How do you solve 162x0. 967 using standard algorithm?
Answer:
156.654
Step-by-step explanation:
The standard algorithm multiplies the integers as shown in the attachments, then places the decimal point in the result. Either factor can be used as multiplier or multiplicand.
For this problem, it might be easier to use 162 as the multiplier of 967, so the partial products are easier to form and check. This is shown in the second attachment. The first partial product is double the multiplicand; the second partial product is 3 times that value, and the third partial product is simply the multiplicand. In other words, you can choose the order of the numbers so as to make the effort easier.
The result is the sum of the partial products, with three decimal places: 156.654.
_____
Additional comment
One must be careful with the decimal point when the numbers contain factors of 2 and 5. The trailing zeros must be maintained until the decimal point is placed. For example, 0.25 × 0.4 = 0.100. The trailing zeros count in the total of 2+1=3 decimal places.
Which of the following is the graph of the line y=-3/4x+5 ?
Andrea bought tacos from a food truck and left a 25\%%, percent tip of \$2. 00$2. 00dollar sign, 2, point, 00. What was the price of Andrea's tacos, before tip?.
The price of Andrea's tacos is four times of tip be 2 dollars which is 8 dollars.
What are ratio and proportion?A ratio is an ordered couple of numbers a and b, written as a/b where b can not equal 0. A proportion is an equation in which two ratios are set equal to each other.
Andrea bought tacos from a food truck and left a 25 %, 25 percent tip of $2.
The tip is 2 dollars for 25 %. Then the tip will be x for 100 %.
[tex]\rm \dfrac{x}{100} = \dfrac{2}{25}\\\\x \ \ \ \ = 8[/tex]
More about the ratio and the proportion link is given below.
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Sarah is selling water bottles at a football game for $2.25 each . She spent $36.75 to purchase the water bottles, ice, and cooler. If she wants to make at least $180 after expenses, what is the fewest number of water bottles she must sell?
D. 117 97 B. 80 A. 64
Please help I to know how to solve it but I know The answer is 97B.
Answer:
need to sell 97 bottles of water
Step-by-step explanation:
36.75 + 180 = 2.25x
216.75 = 2.25x
divide both sides by 2.25
x = 96.33333
Homework - Pure Year 1 - Chapter 11B
Vectors
3
force.
Work out the magnitude of the resultant force and the angle this makes with the smaller
8N
60.00
1SN
Answer:
|F net| = 20.22 N
θ ≈ 19.8°
Step-by-step explanation:
F net = 15N i + 8cos(60°)N i + 8sin(60°)N j
= 15N i + 8×½N i + 8×√3/2N j
= 15N i + 4N i + 4√3N j
= 19N i + 4√3N j
|F net| = √(19²+(4√3)²) = √(361+48) = √409 ≈ 20.22N
tan(θ) = 4√3 ÷ 19 ≈ 0.36 → θ ≈ arctan(0.36) = 19.8°
The Coffee Spot recently served 42 peach scones and 42 other pastries. Considering this data, how many of the next 34 pastries served should you expect to be peach scones?
Answer:
17
Step-by-step explanation:
17 is half of 34 therefore it is 17
Find the slope of the line passing through the given points using the slope formula. Describe the slope as positive, negative, zero, or undefined.
(3,4) and (8,10)
the answer is 6/5. It is positive.
The perimeter of a rectangle is 116. The length is 18 more than 3 times the width. Fine the dimensions
Answer:
L = length, W = width and P = perimeter
L = 3W + 18
Perimeter = 116 = 2(L + W) , i.e. L + W = 58
Now substitute
3W + 18 + W = 58
4W = 40
W = 10
L = 48
Step-by-step explanation:
If the perimeter of a rectangle is 116. The length is 18 more than 3 times the width. The length and width of the rectangle will be 48 and 10 units.
What is a rectangle?It is defined as two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral. The area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
It is given that, the perimeter of a rectangle is 116. The length is 18 more than 3 times the width. Fine the dimensions
L = length, W = width and P = perimeter
L = 3W + 18 -------- (1)
Perimeter = 116
Perimeter = 2(L + W)
L + W = 58
Put the value in equation 1,
3W + 18 + W = 58
4W = 40
W = 10
L = 48
Thus, if the perimeter of a rectangle is 116. The length is 18 more than 3 times the width. The length and width of the rectangle will be 48 and 10 units.
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Hello I need help on this math question
I'll give BRANLIEST or 5 stars
Answer:
lateral area=37.68(approximately 38)
Total Surface Area =
Step-by-step explanation:
AL=2πrh
AL=2×3.14×6/2×2(Because it is a diameter and we want a radius)
Al=37.68 in squared
.
PLEASE HELP ME THANKS 7th grade
Step-by-step explanation:
1 inch = 30 miles
so, 12.5 inch = 30*12.5 ===> 375 miles
hence, 12.5 inch = 375 miles
I need help finding the domain and range!! -Algebra
Answer:
The graph is shown belowVertex = (2,1)Axis of symmetry is x = 2Domain = set of all real numbersRange = set of y values such that [tex]y \ge 1[/tex]=======================================================
Explanation:
Use your favorite graphing tool to graph the equation. If your teacher doesn't allow you to use graphing software, then you'll have to plug in various x values to find the paired y values. This gives the set of (x,y) points needed to be plotted to form the parabola. The more points you plot, the more accurate the curve.
The graph is shown below. I used GeoGebra to make the graph. It's free graphing software. Desmos is another tool that I recommend.
------------
The lowest point on the parabola is the vertex (h,k) = (2,1) which is shown in the graph below.
This is due to the equation being in vertex form y = a(x-h)^2 + k. We see that h = 2 and k = 1.
-------------
The axis of symmetry is the vertical line that passes through the vertex.
As such, the axis of symmetry equation is simply x = h. So that's how we get to x = 2.
In the graph below, the axis of symmetry is the red dashed line.
-------------
There aren't any restrictions on x. We don't have to worry about dividing by zero or applying a square root to a negative number.
Therefore, any x value is allowed and the domain is the set of all real numbers.
-------------
The range however isn't the set of all real numbers. The lowest y can get is y = 1 due to the vertex point. We can have y = 1 or larger
Therefore, [tex]y \ge 1[/tex] is the range.
Which of the following inequalities matches the graph? (2 points)
Answer:
A
Step-by-step explanation:
Find the boundary line and shade the area related.