Triangles A and B have vertical heights x cm and (x+3) cm respectively. The areas of Triangles A and B are 30cm² and 32cm² respectively. (a) Find, in terms of x, an expression for the base of: (i) Triangle A (ii) Triangle B (b) Given that the base of Triangle B is 4 cm less than the base of Triangle A, form an equation and show that it reduces to x² + 4x - 25 = 0 (c) Solve the equation and hence, find the height of Triangle B.
Answer:
Hi,
Step-by-step explanation:
Let say a the base of the triangle A and b the base of the triangle B.
[tex]a)\\\left\{\begin{array}{ccc}\dfrac{a*x}{2}&=&30\\\dfrac{b*(x+3)}{2}&=&32\\b=a-4\\\end{arraqy}\right.\\\\(i): a=\dfrac{60}{x}\\\\(ii): b=\dfrac{64}{x+3}\\\\b)\\\dfrac{64}{x+3}=\dfrac{60}{x}-4\\\\64x=(60-4x)*(x+3)\\\\4x^2+16x-180=0\\\\x^2+4x-45=0\\\\\Delta=16+4*45=196=14^2\\x=\dfrac{-4+14}{2}=5\ or\ x=\dfrac{-4-14}{2}=-9\ (impossible)\\So\ x=5,\ a=\dfrac{60}{5}=12, b=\dfrac{64}{5+3}=8\\\\Area\ of\ A=12*5/2=30\\Area\ of\ B=8*8/2=32\\\\Height\ of\ triangle\ B=x+3=5+3=8.\\[/tex]
what’s the answer to this?
X/3+1 = 6
Answer: x=15
Step-by-step explanation:
x/3+1= 6
Step 1: Subtract 1 from both sides (always do inverse operations with the number, not the x term(s))
x/3 + 1-1 = 6-1
x/3= 5
Step 2: Now we need to isolate x (get it on its own). To do this, we must move the 3 to the other side, which we will do by multiplying the 3 and the 5 (as since the 3 was used for divisision, its inverse operation is multiplication).
x/3 = 5
x = 5x3
x= 15
Step 3: Check by using PITA, or "Plugging In the Answers"
We came to the conclusion that x=15. Now, we can "plug in", or substitute the x in the equation for 15:
x/3 + 1= 6
15/3 + 1= 6
5+ 1= 6
6=6
Correct ✔️
Answer:
X = 24
Step-by-step explanation:
3 + 1 = 4
X/4 = 6
Multiply both sides by 4
X = 24
calling brainiacs... probably some math logic question that im not getting.
can you help please help
Answer:
90 degree rotation
Step-by-step explanation:
pls give brainleist
:)
A warehouse holds 94,896 bottles of water. There are the same number of bottles in each
aisle. How many aisles could there be?
Select all the possible numbers.
4
8
9
2
Submit
Find the solution to:
y=0.5+1
y=2x-2
What is the value of x and y please explain will give brainliest if you give me a good explanation!!
The table shows the cost of hiring a plumber for the first 3 hours of a job.
Which graph shows the points in this table?
Ps: sorry there are too many screen shots.
Answer: it's A
Step-by-step explanation:
since the cost for hiring a plumber for three hours costs $120 so in graph A the graph has more likely stopped at $120 on the y axis which can be said as the cost axis too. I'm pretty sure the answer is A!
Plis help with this problem! (Screenshot attached)
"Find the surface area of each pyramid. Round to the nearest tenth if necessary."
Answer: The total surface area is 633.9
Step-by-step explanation:
12.25 times 15.75, then divide by 2 = 96.46875 (this is the area of the triangle
Then times 4 = 385.875 (Because there are four triangles
15.75 times 15.75 = 248.0625 (The area of the square)
The sum is 633.9375
Rounded = 633.9
A prism has a length of 4 centimeters, width of 2 centimeters, and height of 10 centimeters. Use the prism to complete the statements. The surface area of the prism is cm2. The volume of the prism is cm3.
Answer:
Surface area = 136 cm² Volume = 80cm³
Step-by-step explanation:
Surface Area = face 1 + face 2 + face 3 + face 4+ face 5 + face 6
SA = 2(4) + 2(4) + 2(10) + 2(10) + 4(10) + 4(10)
SA = 8 + 8 + 20 + 20 + 40 + 40
SA = 16 + 40 + 80
SA = 136
----------------------
Volume = l*w*h
Volume = 4*2*10
Volume = 8*10
Volume = 80
Answer:
4
Step-by-step explanation:
*
How do you find the surface area of this?
Answer:
132
Step-by-step explanation:
No way you can find the whole area with one solution. So we have to go by each shape.
Let's start with the triangle on top, only one part of it. We know that half of the base is 3. We could go long and hard and use the pythagorean theorem and then repeat that 8 times. Instead, you can imagine moving the 2 triangles into a rectangle. Now you have a rectangle that is 3x4 inches. Repeat 4 times for each of the triangles. Then just the square which is 6x6. Add them and bam!
one step equation Y/1.8=80 what’s the answer?? ( with steps )
Answer:
5) Y = 144
Step-by-step explanation:
[tex]\frac{Y}{1.8} = 80[/tex]
Bring 1.8 from the numerator to the denominator and change the sign from divide to multiply. Also, the 1.8 switches sides so the equation looks like:
Y = 80*1.8
Y = 144
Hence, Y is equal to 144.
Hope this helps!!!
Please mark me as brainliest!!!
Which figure is a trapezoid?
A 4-sided shape with 2 parallel sides.
A 4-sided shape with 4 parallel sides.
A 4-sided shape with 4 parallel sides.
A 5-sided shape with 2 parallel sides.
Answer:
none of those
Step-by-step explanation:
A trapezoid is a 4-sided shape with 1 parallel side
Could you pls choose this as brainliest???!!!
turn this fraction into a decimal 3 3/8
Answer:
3.375
Step-by-step explanation:
divide 3/8 and you get 0.375 then add 3 and you get 3.375
HELP MEEEE!!!!!!!!!!!!!!!!!
What is the area of this figure?
_______ square kilometers
Answer:
90 square kilometers
Step-by-step explanation:
1. split the figure in small definite sections
2. find the areas of the smaller sections.
3. find the sum of the areas.
what does x equal in this y=2x + 3
Answer:
y=bh
Step-by-step explanation:
PLS HELP WILL GIVE BRANLIEST: The angle measurements in the diagram are represented by the following expressions. ∠A=5x-5 ∠B=3x+13
solve for x then find the measurement for ∠B
Answer: x = 9
Angle B = 40
Step-by-step explanation:
5x-5 = 3x+13 Those angles are the same, they are corresponding angles
5x = 3x + 18 Solve the equation
2x = 18
x = 9
3(9)+13 Solve it
Angle B = 40
Hope this helps.
How to solve this? WILL GIVE BRAINLIEST
whats greater brianliest + MAX ponits or 4 x 2160 4 x 2610
It is equal. The same either way. :)
Hey there!
PROBLEM #1. 4 * 2,160
4 * 2,160
= 2,160 * 4
= 2,160 + 2,160 + 2,160 + 2,160
= 4,320 + 4,320
= 8,640
Therefore, the answer should be: 8,640
Problem #2. 4 * 2,610
4 * 2,610
= 2,610 * 4
= 2,610 + 2,610 + 2,610 + 2,610
= 5,220 + 5,220
= 10,440
Therefore, the answer should be:
10,440
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
The bearing of point B from point A is 034°.
Find the bearing of point A from point B.
Step-by-step explanation:
180 minus 34 degrees gives 146° not that sure
Which relationships describe angles 1 and 2?
Select each correct answer.
adjacent angles
complementary angles
supplementary angles
vertical angles
Answer:
Complementary Angles
Step-by-step explanation:
They are both in right angles
ik yall brainly ppl know what this is.
Twelve movie tickets cost $84. How much does a single movie ticket cost?
Answer:
The answer would be 7 dollars.
Step-by-step explanation:
Hope this helps!
Answer:
$7
Step-by-step explanation:
84 divided by 12 is 7 so it would be 7 dollars
9-2x=-8-4x Its for math
Answer:
x=-8.5
Step-by-step explanation:
Combine like terms:
9+8=-4x+2x
Solve:
17=-2x
Divide:
17/-2=x
-8.5=x
Hope this Helps!
Answer:
your answer is x=-8.5
Step-by-step explanation:
PLEASE HELP ASAP!!! Which of the ten groups show at least one 8th grader?
A. 3, 7, 8, 10
B. 4
C. 1, 2, 5, 7, 8, 10
D. 1, 3, 4, 5, 6, 7, 8, 10
Answer:
1 3 4 5 6 7 8 10
Step-by-step explanation:
the numbers 7,8,9,0 represent 8th graders and the groups 1 3 4 5 6 7 8 10 all contain at least one of the numbers while the others groups dont meaning they are no 8th graders in groups 2 or 9
Can someone answer this
Answer:
2÷1 =2
2x1 =2
2-1 = 1
Step-by-step explanation:
Hopw this helps
Put the following equation of a line into slope-intercept form, simplifying all fractions. 2x-10y=-20
Answer: y = 1/5x + 2
Check out the workings I have done in the document I have uploaded :)
The circumference of a circle is 125.6 millimeters. What is the circle's diameter?
Use 3.14 for .
Answer:
C = 2 pi r, so diameter is 40!
Step-by-step explanation
125.6 = 2 pi r
125.6 divided by 2 is 62.8.
Now its, 62.8 = pi times r
62.8/3.14 = 20.
r = 20
but this is the radius so the diameter is 2 times for than the radius. 20 x 2 = 40
solve the inequality
1/5x+3>9
Answer:
Step-by-step explanation:
First, you would want to subtract the 3 on the left side to the right side to get the 1/5x to be alone.
1/5x>6
Next, we need to solve for x, by multiplying 5 to cancel out the 1/5.
(5)1/5x>6(5)
That leaves us with x>30
treat the inequality sign as an equal sign, that should help