Answer:
16
Step-by-step explanation:
How do you solve these two problems please explain step by step
Answer:
1) [tex]x=15, y=41[/tex]
2) [tex]x=6, y=24[/tex]
Step-by-step explanation:
1)
The two triangles are similar by AA similarity.
That means [tex]5x-5=4x+10[/tex].
We can add [tex]5[/tex] to both sides to get [tex]5x=4x+15[/tex].
We can then subtract [tex]4x[/tex] from both sides to get [tex]x=15[/tex].
We know that the [tex](5x-5)+(6y-4)=180[/tex] because they both lie on a straight line.
We can plug in for [tex]x[/tex] to get [tex](5(15)-5)+(6y-4)=75-5+6y-4=6y-66=180[/tex].
We can divide both sides of the equation by [tex]6[/tex] to get [tex]y-11=30[/tex].
We then add [tex]11[/tex] to both sides to get [tex]y=41[/tex].
So, [tex]\boxed{x=15, y=41}[/tex] and we're done!
2)
Because the two bases of a trapezoid are parallel, meaning adjacent top and bottom angles sum to [tex]180^{\circ}[/tex], we have that [tex]90+3y+18=180[/tex].
We can subtract a [tex]90[/tex] and an [tex]18[/tex] from both sides to get [tex]3y=72[/tex].
We then divide both sides of the equation by [tex]3[/tex] to get [tex]y=24[/tex].
We do the same thing for [tex]x[/tex]. On the other side of the trapezoid, we have that [tex]15x+30+10x=180[/tex].
We combine like terms on the left side to get [tex]25x+30=180[/tex].
We subtract a [tex]30[/tex] from both sides to get [tex]25x=150[/tex].
We divide both sides of the equation to get [tex]x=6[/tex].
So, [tex]\boxed{x=6, y=24}[/tex] and we're done!
Shelby invests £14000 in a savings account. The account pays 2.5% compound interest per year.
Work out the value of her investment after 2 years.
Answer:
70000
Step-by-step explanation:
Answer:
£14708.75
Step-by-step explanation:
Always start with the original amount, in this case 14000.
Then, because it's an increase, add 2.5 to 100. You could also think of it as adding 2.5% to 100%, which is 102.5%. We then divide that by 100.
So far our calculation is 14000 x 1.025.
We now need to do this for the two days on. We can do this in 2 ways.
1. 14000 x 1.025 x 1.025
or.
2. 14000 x 1.025^2
They're both the same thing.
We then type that calculation into your calculator and you should get £14708.75
Hope that helped :)
Answer Please !!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
I can't draw here, but I can describe :
an isoceles triangle means that 2 sides of the triangle are equally long (they are typically called the "legs" left and right on top of the baseline).
this fact makes the triangle symmetrical.
and that means that 2 angles are also equal (the angles of the legs with the baseline).
so, knowing that one angle is 34 degrees can mean 2 things :
either 34 degrees is the angle between the 2 legs, or it is one of the 2 equal angles between legs and baseline.
as we know the sum of all angles in a triangle is always 180 degrees.
so case 1 : 34 degrees is the angle between the legs
180 = 34 + 2×base-leg-angle
144 = 2×base-leg-angle
each base-leg-angle = 72 degrees
case 2 : 34 degrees is one of the base-leg-angles
180 = 2×34 + between-the-legs-angle
180 = 68 + between-the-legs-angle
between-the-legs-angle = 112 degrees
so, you need to draw one triangle for each case.
since we don't know anything about the side lengths, size does not matter. only the angles need to be correct :
one triangle with 34, 72, 72 degrees
and one triangular with 34, 34, 112 degrees
Item 4 Multiply. [−12 ⋅ 4/7]⋅[−14⋅(−0.1)] What is the product? Enter your answer in the box.
Answer:
-9.6
Step-by-step explanation:
The product of the given expression [−12 ⋅ 4/7]⋅[−14⋅(−0.1)] is approximately -9.6.
We have,
Let's break down the expression step by step:
[−12 ⋅ 4/7]⋅[−14⋅(−0.1)]
First, let's simplify the expressions inside each set of brackets:
-12 ⋅ 4/7 = -48/7
-14 ⋅ (-0.1) = 1.4
Now, substitute these values back into the original expression:
[-48/7]⋅[1.4]
Now, multiply the two fractions:
(-48/7) * 1.4 = -67.2 / 7
This can be simplified further by dividing both the numerator and the denominator by their greatest common divisor, which is 1:
-67.2 / 7 ≈ -9.6
Thus,
The product of the given expression is approximately -9.6.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ3
Please helppp help pls
Answer:
true is the answer
Step-by-step explanation:
hope it helps.
Please someone help me with these! Mark brainliest !
Answer:
4.) Cost of cordless phone = $55
cost of each additional handset = $25
Therefore, the overall cost of the cordless phone, including the 3 extra handsets is:
$55 + 3($25) = $55 + $75 = $130
5.) Given the function, f(d ) = .20d + 14, where:
f(d) = global temperature (in Celsius)
d = number of decades
To evaluate the value of f (d ) at f(10), you'll have to substitute the value of d = 10 as input into the function:
f(10) = .20(10) + 14
f(10) = 2 + 14
f(10) = 16
6.) Value of f(10):
In 10 decades, the predicted global temperature will be 16° Celsius.
7.) The correct answer is B. The global temperature f(d) depends on the number of decades, d.
Explanation: the independent variable is d → it is the input of the function. The output primarily depends on the given value of input.
8.) Given the function, f(t ) = 0.2t
where t = represents number of days elapsed since the planting of the seed.
Evaluate f(40):
f(40) = 0.2(40)
f(40) = 8
Context of f(40): The value of the function, f(40) = 8 represents the 8 centimeter height of the habanero plant after 40 days of planting its seeds.
Please mark my answers as the Brainliest, if you find my explanations helpful :)
A rock band made a concert tour of 13
cities. They traveled an average of
1,970 miles per week for 6 weeks. .
How far did they travel altogether?
Answer:
11820
Step-by-step explanation:
https://msquaredmathschool.files.wordpress.com/2017/04/block2key.pdf
Given the function f(x) = 6x-x^2,then what is f(x) + 2 as a simplified polynomial
x = 12
2x^2(x-5)/10x
Answer:
84/5
Step-by-step explanation:
x = 12
2x^2(x-5)/10x
2*12^2(12-5)/10*12
2*12*7/10
84/5
could someone name some games that are unblocked that I can play on a school computer?
lol 50 pts to answer
Answer:
Agar.io
Buildroyale.io
Gats.io
Krunker.io
Narwhale.io
1v1.lol
1v1.fail
Or look up your favorite computer games but put (Gooogle Sites) at the end
Step-by-step explanation:
Help with question four please :)
Answer:
if you have an equation already C. if you don't have a equation you should make one B.
Three consecutive integers add up to 120. What is the smallest integer?
(A) 38
(B) 39
(C) 40
(D) 41
(E) 42
Answer:
39
Step-by-step explanation:
1 1/2 divided by 1/4
Answer:
6
Step-by-step explanation:
1 1 /2 ÷ 1/ 4
= 3/2 ÷ 1/4
= 6
Find the area of the regular pentagon
Answer:
here
A= 50
B = 62
Step-by-step explanation:
we know that
area of the regular Pentagon is 5/2*A*B
=5/2*50*62
=7750
Quadrilateral MARK will be reflected across the z-axis and then rotated 90° clockwise about the origin to create quadrilateral M"A"R"K". If M is located at - (-3,7)
What will be the y-coordinate of M”?
The answer is 3
Step-by-step explanation:
I have the answer key pdf and, that is what the answer said, so I am pretty sure this is right.
what is the square root of pie?
Answer:
1.77
Step-by-step explanation:
The square root of Pi with two digit decimal accuracy is 1.77. Accordingly, what is a square root of pi? The square root of pi is 1.777245.
Answer:
the square root of pie is 1.77245385091
or just 1.77
Which of the following notations correctly describe the end behavior of the
polynomial graphed below?
What is the value of Measure of angle a + measure of angle b
3 lines intersect to form 5 angles. Clockwise, from top left, the angles are b, 90 degrees, c, 124 degrees, a.
A. 34°
B. 56°
C. 90°
D. 180°
Answer:
D)
Step-by-step explanation:
solve the inequality. 1/3b - 4 ≤ 4
if this posted twice i apologize. it's not showing that it posted
Answer:
B ≤ 24
Step-by-step explanation:
Please help me ASAP!!!!!!!
hgjjvbhkml
Step-by-step explanation:
please help me solve this problem and figure out how to solve it
1) Use the point at (4, 6) to answer the following. *
7 points
1. Which situation is best described by the graph
shown?
a. purchases chips for $0.75 per bag.
b. Mark buys packs of gum for $1.50 each.
c. Paula pays $0.50 per ticket at the fair.
d. Franco purchases flowers for $3.00 each.
b. You can determine how many times greater the range of one internet company is than the other by writing their ranges as a ratio that compares the range of Winnies wireless access devices to the range of Ivan’s wireless access devices.
Answer:
1.32 x 104: 2.64 x 103
1.32 x 10*4 1.32
------------ = ----- x 10*4-3 = 0.5 x 10 = 5
2.64 x 10*3 2.64
Step-by-step explanation:
Determine the number of lines of symmetry for each figure.
Answer:
1) 6
2)0
3)1
The lines of symmetry are like the line that are the perfect half
A picnic table requires 5 boards that are 6 feet long, 4 boards that are 3'3" long, and 2 boards that are 18 inches long. Find the total length of lumber required, using feet as your final unit.
Answer:
22
Step-by-step explanation:
5 boards = 6 feet
4 boards = 13 feet
2 boards=3 feet
and when you add them its 22.
PLEASE HELP!!!! Question: What are the coordinates of E after a rotation 90 degree counterclockwise? Give your answer in the format (#,#) .
Answer:
(-5,3) is your answer
Step-by-step explanation:
it just moves to a different quadrant
please help me
no random links pls
15 points
5. Two more than a certain number is 15 less than the product of 7/8 and the number.
a. Equation:
b. Solution:
Calculate the angle subtended by an arc whose length is 89.5cm and radius 12cm
Answer:
Step-by-step explanation:
angle at the center
[tex]\theta=\frac{l}{r}\\where~l=length~of~arc\\r=radius\\\theta=\frac{89.5}{12}~radians[/tex]
please help quick! 4 3/5 - 2 4/5
Answer:
[tex]\frac{9}{5} \\ \\ OR\\ \\ 1\frac{4}{5}[/tex]
Hope this helped. A brainliest would be very much appreciated. (I need 4 brainliest so I can level up) :)
Answer:
9/5 is the answer
just change into improper fraction and solve
Have a wonderful time