Answer:
B 84 cm^2 is the surface area of tbe prism
Step-by-step explanation:
given the diagram below, explain how you would determine the opposite, adjacent, and hypotenuse side from the given 35° angle. (HELP PLEASE!!)
Answer:
opposite=8.402402490459 ,adjacent is already given=12, hypotenuse=14.64929507
Step-by-step explanation:
to do this you will have to use the law of sines. the first thing you need to do is solve for the unknown angle by subtracting 90+35 from 180. so you get the equation 180-(90+35)=55. now that you know all your angles, you can use the law of sines to solve for the unknown sides. the law of sines state that a/sin(A)=b/sin(B). if you substitute the values of 12 and 55 into the equation, since you know those sides, you can then find a ration that you can use to find the other sides, 12/sin(55)=b/sin(B), which is equal to, 14.649... Next you pick whichever side you want to solve for next, and plug in its opposite angle (i would solve for the other leg, because then you can use pythagorean theorem to solve for the hypotenuse, so i will demonstrate that way) plug in the angle 35, since it is opposite the leg and then finish for the variable, 14.649...=b/sin(35). once you have the sin, you can multiply it by the 14.649 to get your side, 14.649...*.5736...=8.402...=b. now you have your two legs, so you can use a^2+b^2=c^2 to solve for the hypotenuse. once you plug in your values it should look like this, 12^2+8.402...^2=c^2. which simplifies down to 214.602...=c^2. so you take the square root of both sides to find c, which equals 14.649. you can check that by seeing if 14.649 is bigger then the other two sides, which it is. This number should look familiar because it was the ratio we got when we divided 12 by the sin(55). the reason that happened is because the sin(90) is 1, the 14.649*1=14.649.
If you have any questions, leave them in the comments and will try to answer them, if this helped, pls give brainliest.
PLS HELPPPP
Which expression is equivalent to 8x + 6?
A. -7(1 – x) + x + 13
B. 10x - 8 - 2x + 2
C. 2x + 10 - (4 + 6x)
D. 9x - 10 + x - 4
Answer:
ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
Step-by-step explanation:ccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
Write the equation of the line passing through the points (0, -4) and (-2, 2).
Answer:
y=-3x-4
Step-by-step explanation:
i solved it by the two points
Is this shape a polyhedron? If it is what is the name of the shape?
solve for the variable,x, in the following equation 6x+1=x-5
Answer:x = 1.2
Step-by-step explanation:
Answer:
[tex]{\huge\pink{\fbox{{࿐αɴѕωєя࿐}}}}[/tex]
[tex]6x + 1 = x - 5 \\ 6x - x = - 5 - 1 \\ 5x = - 6 \\ x = \frac{ - 6}{5} \\ x = - 1.2[/tex]
Please find x y and z !!!!!! URGENT! Bots taken down
Step-by-step explanation:
idek but Goodluck and I hope you figure it our bye.
Answer:
x=16√3 units
y=8√3 units
z=24 units
Step-by-step explanation:
z=(24√2)/√2=24 which means the height is also 24 following 45-45-90 triangle rules
y=24/√3=24√3/3=8√3 (remember 30-60-90 triangles rules and to rationalize the denominator)
x=2y=2(8√3)=16√3 (remember 30-60-90 triangle rules)
Which expression is equivalent to 10f−5−5f+2?
15f−3
5f−7
15f−7
−3+5f
Answer:
[tex]10f - 5-5f +2 =5f -3= -3+5f[/tex]
last option
Answer:
C
Step-by-step explanation:
If we solve 10f-5f+8+69+4, We get 5f+81 (put in comments if you want a step by step explanation on how i solved this).
Let's try to solve each of the options.
A) 15f + 14g + 4
It would not be option A because there isn't a variable such as g in the expression.
B) 15f + 8 + 10g
C) 5f + 69 + 12
5f+ 81
This one is correct because the expression also equals 5f+81
D) 5f + 149 +4
5f+ 153
D would be wrong as well
Hope this helps! <3
On the same exam, Alyssa's friend Jessie answered three times more questions correct than incorrect. Who got a higher percentage of the test questions correct, Alyssa or Jessie?
Complete question is;
Alyssa took a math test with 20 questions and she answered 16 questions correctly. In order get an A, she needs to answer at least 90 percent of the questions correctly.
A) Did Alyssa get an A on this math test? Explain.
B) How many questions would Alyssa need to answer correctly in order to get an A?
C) On the same exam, Alyssa's friend Jessie answered three times more questions correct than incorrect. Who got a higher percentage of the test questions correct, Alyssa or Jessie
Answer:
A) she didn't get an A because she scored less than 90%.
B) She will need to answer 18 correctly to get an A.
C) Alyssa had a higher percentage.
Step-by-step explanation:
A) Alyssa answered 16 out of 20 questions correctly.
Converting this to percentage gives;
16/20 × 100% = 80%
Now,we are told she needs at least 90% correct answers to get an A.
She scored 80% which is less than 90% mark of A, therefore she didn't get an A.
B) Let the number of minimum questions to answer correctly out of 20 be x.
Thus, since it is 90%.
Then;
x/20 × 100% = 90%
making x the subject;
x = 90 × 20/100
x = 18
She will need to answer 18 correctly to get an A.
C) her friend Jessie answered three times more questions correct than incorrect.
This means for every 4 questions answered, she had 3 correct and 1 incorrect.
Thus,
For 4 questions she had 3 correct answers, then for 20 questions, she will have: 20 × 3/4 = 15 correct questions
Which corresponds to;
15/20 × 100% = 75%
Thus, Alyssa had a higher percentage.
Find x so that w is parallel to v.
Step-by-step explanation:
the illustration is not with the question
1. This system of equations has: y = 3x + 4
y = -X
A One Solution
B. Infinitely Many Solutions
C. No Solutions
Answer:
A) One Solution
Step-by-step explanation:
3x + 4 = -x
4 = -4x
x = -1
y = 3(-1)+4
y = 1
One Solution
How to find the radius of a circle when only the area is known?
Answer:
Divide the area by pi. Then, square root the answer.
Step-by-step explanation:
Area of a cirlce= pi r^2
Answer:
You have to divide by pi (3.14) APROXIMATELY and then divide what you get by the square root.
A box contains 40 cards. Meg takes out 16 cards without looking: 2 red 2 yellow 8 blue and 4 green cards. which statement is most likely to be true about the 40 cards based on megs sampling?
A $40 shirt now selling for $28 is discounted by what percent?
Answer:
30%
Step-by-step explanation:
Think of this as converting a fraction. 28/40 to x/100. You do this because in the situation, 40 is 100 percent of the price. So 28 is x percent of 100.
You multiply 40 by 2.5 to get to 100, so multiply 28 by the same number to get x. 28 * 2.5 = 70.
So 28 is 70 percent of 40. But the question is asking by what percentage it is discounted. If it's now selling for 70%, it has been discounted 30%. So the answer is 30%
Need help with math!! Provided the graph with answers
I think the first one c and the second one a
I reallly need help plss -m=5-plssss
Answer:
[tex]4m ^{2} = 4 \times 5 \times 5 = 100[/tex]
Lines AB and CD are parallel. If mZN is 52" then what is my?
A 128
B. 38
C. 142
D. 52
help me with this question
Answer:
960 cm³ I think it may be correct
Answer please !!!!!!!!!
Find the surface area.
I NEED HELP!!! ASAP!!
Answer:
1)
Perimeter=24 inches
Area= around 43.46 inches
Step-by-step explanation:
1) Perimeter = 3in * number of sides
Perimeter = 3*8 = 24
Area= 2(1+ square root of 2) length of one side squared
=42.46
2)
Perimeter = 24
Area= 43.46 inches squared- 3inches
3)
Perimeter = 24
Area= 43.46- triangle area
triangle area = height x base /2
Height = 3, we can compare it.
Base = 3
Triangle = 9/2
Area = 43.46- 4.5
Area =38.96
Can't see 4 and 5 for some reason
6)
Perimeter = 30
Area = 61.94
Sorry if its incorrect, I am just 4th grade :(
What is the range for this data set?
Answer:
range = 9
Step-by-step explanation:
The range is the difference between the largest and smallest values
largest value = 12
smallest value = 3
range = 12 - 3 = 9
Answer:12-3=9
Step-by-step explanation:To find the range,you have to subtract the highest number and the lowest number which in this case the highest number is 12 and the lowest number is 3 so the answer is 9.
help no links please u^u
Answer:
∠A= 80°
Step-by-step explanation:
if they are supplementary then put them equal to 180
7x + 3 +7x + 23 = 180
14x + 26 = 180
14x = 154
x= 11
now plug in
7(11)+3
77+3= 80
During the first several rounds of a golfing league, Nate made par or better on 34 out of 85 holes. Based on this relative frequency, how many pars or better could he be expected to make on the remaining 150 holes? Round to the nearest whole number if necessary.
Answer: 60 holes
Step-by-step explanation:
Nate made par or better 34 out of 85 holes. You need to use this to find the rate at which he makes par or better holes:
= 34 / 85 * 100%
= 40%
40% of the time he makes par or better holes.
If there are 150 holes left, he will make par or better of:
= 40% * 150
= 60 holes
What is the missing justification in the proof of the angle bisector
construction?
A.symmetric property
B.congruence property
C.transitive property
D.reflexive property
Answer:
C
Step-by-step explanation:
The transitive property states that a line is congruent to itself.
Answer:
The answer is, (C) transitive property.
Step-by-step explanation:
Definition of angle bisector:The (interior) bisector of an angle, also called the internal angle bisector is the line or line segment that divides the angle into two equal parts. The angle bisectors meet at the incenter. , which has trilinear coordinates.
Then, For angle bisector construction, a statement column proof is given.
Justification for Statement.
CPCTC and MBP have the same angle.
NBP angle
Since SSS established congruence for the two triangles in the preceding sentence,
The next step is to ensure that matching angles are identical and that congruent triangle portions are congruent.
A line is congruent to itself if it has the transitive attribute.
To know more angle bisector here, https://brainly.com/question/24334771
#SPJ2
A school is planning to construct two rectangular play areas in the playground. The length of play area A must be 1 foot longer than four times its width. The width of play area B must be 2 feet longer than the width of play area A, and the length must be 2 feet longer than three times its own width. In addition, the areas of the two play areas must be equal. Write a system of equations to represent this situation, where y is the area of the play areas and x is the width of play area A. Which statement describes the number and viability of the system's solutions?
Answer:
А.The system has two solutions, but only one is viable because the other results in a negative width.
Step-by-step explanation:
Given
Let:
[tex]L_A \to[/tex] length of play area A
[tex]W_A \to[/tex] width of play area A
[tex]L_B \to[/tex] length of play area B
[tex]W_B \to[/tex] width of play area B
[tex]x \to[/tex] Area of A
[tex]y \to[/tex] Area of B
From the question, we have the following:
[tex]L_A = 1 + 4W_A[/tex]
[tex]W_B = 2 + W_A[/tex]
[tex]L_B = 2 + 3W_B[/tex]
[tex]x = y[/tex]
The area of A is:
[tex]x = L_A * W_A[/tex]
This gives:
[tex]x = (1 + 4W_A) * W_A[/tex]
Open bracket
[tex]x = W_A + 4W_A^2[/tex]
The area of B is:
[tex]y = L_B * W_B[/tex]
[tex]y = (2 + 3W_B) * ( 2 + W_A)[/tex]
Substitute: [tex]W_B = 2 + W_A[/tex]
[tex]y = (2 + 3(2 + W_A)) * ( 2 + W_A)[/tex]
Open brackets
[tex]y = (2 + 6 + 3W_A) * ( 2 + W_A)[/tex]
[tex]y = (8 + 3W_A) * ( 2 + W_A)[/tex]
Expand
[tex]y = 16 + 8W_A + 6W_A + 3W_A^2[/tex]
[tex]y = 16 + 14W_A + 3W_A^2[/tex]
We have that:
[tex]x = y[/tex]
This gives:
[tex]W_A + 4W_A^2 = 16 + 14W_A + 3W_A^2[/tex]
Collect like terms
[tex]4W_A^2 - 3W_A^2 + W_A -14W_A - 16 =0[/tex]
[tex]W_A^2 -13W_A - 16 =0[/tex]
Using quadratic calculator, we have:
[tex]W_A = -14.1[/tex] or [tex]W = 1.13[/tex] --- approximated
But the width can not be negative; So:
[tex]W = 1.19[/tex]
Five apples and four oranges cost $11.80. One apple and six oranges cost $9.90. how much does one orange cost?
Answer:
the cost of orange is 170
Answer:
One orange costs $1.45.
Step-by-step explanation:
Since there are two variables, you have to set up a 2 variable equation.
Let's let a = apples and o = oranges.
So, we can set up this problem as:
5a + 4o = 11.80
1a + 6o = 9.90
You can solve a 2-variable equation using either elimination or substitution. Here, I think it's easier to use substitution. To do that we have to substitute one variable with an equation that uses only the other so that we only have one variable.
We can manipulate our second equation so that it is:
a = 9.90 - 6o
Then, we can plug this in for a in the first equation. So,
5 (9.90 - 6o) + 4o = 11.80
49.5 -30o +4o = 11.80 (Distribute the 5)
49.5 - 26o = 11.80 (Combine like terms)
-26o = -37.7 (Subtract 49.5 from both sides)
o = 1.45 (Divide by -26)
o = 1.45
So, an orange costs $1.45.
Which sequences of transformations will map circle
M onto circle N?
Answer:
1: Reflect M across the x-axis
2: Dilate about the center by 3/2
Step-by-step explanation:
Given
See attachment for M and N
Required
Which maps M to N
The coordinates of the radius of the circles are:
[tex]M = (5,5)[/tex]
[tex]N = (5,-5)[/tex]
And the radius of circles are:
[tex]r_M=2[/tex]
[tex]r_N=3[/tex]
The first transformation from M to M' is:
- Reflect across the x-axis
The rule is:
[tex](x,y) \to (x,-y)[/tex]
[tex]M(5,5) \to M'(5,-5)[/tex]
At this point, M' and N now have the same center but different radius.
The second transformation from M' to N is:
- Dilate about the center by dividing the radius of N by the radius of M
i.e.
[tex]k =\frac{r_N}{r_M}[/tex]
[tex]k =\frac{3}{2}[/tex]
At this point, M has been completely mapped to N.
How do i solve this?
Answer:
5.x^8.y^3
Step-by-step explanation:
15.x^10.y^5.z^2 ÷ 3.x^2.y^2.z^2
= 15/3. x^(10-2). y^(5-2). z^(2-2)
= 5.x^8.y^3.z^0
= 5.x^8.y^3
[tex]\\ \rm\hookrightarrow \dfrac{15x^{10}y^5z^2}{3x^2y^2z^2}[/tex]
[tex]\\ \rm\hookrightarrow 5x^{10-2}y^{5-2}z^{2-2}[/tex]
[tex]\\ \rm\hookrightarrow 5x^8y^3[/tex]
Option B has type error or none of the above
What do both of these functions have in common?
f(x) = 2log10 (x - 1)- 4
g(x) = 10(x-1)^2 +4
A. They have the same horizontal translation
B. They have the same vertical stretch
C. They have the same vertical shift
D. They have the same end behavior
Answer:they have the same horizontal translation
Step-by-step explanation:
which of the following will not have congruent diagonals