Answer:
[tex]Height = 15[/tex]
[tex]Base = 45[/tex]
Step-by-step explanation:
Given
Shape: Rectangle
[tex]Perimeter = 120cm[/tex]
[tex]Base = 3 * Height[/tex]
Required
Determine the dimensions
The perimeter of a rectangle is:
[tex]Perimeter = 2 * (Base + Height)[/tex]
Substitute 120 for Perimeter
[tex]120 = 2 * (Base + Height)[/tex]
Divide both sides by 2
[tex]60 = Base + Height[/tex]
Substitute 3 * Height for Base
[tex]60 = 3 * Height + Height[/tex]
[tex]60 = 3Height + Height[/tex]
[tex]60 = 4Height[/tex]
Divide both sides by 4
[tex]15 = Height[/tex]
[tex]Height = 15[/tex]
Substitute 15 for Height in [tex]Base = 3 * Height[/tex]
[tex]Base = 3 * 15[/tex]
[tex]Base = 45[/tex]
Solve for x,
45=3x
Simplify your answer as much as possible,
X
What is equivalent to 5(x + 12)
A x +12
B 2x - 60
C 5x + 60
D 2x - 60
Answer:
[tex]\boxed{\boxed{\pink{\sf Option \ C \ is \ correct .}}}[/tex]
Step-by-step explanation:
Given to us is , 5 ( x + 12 ) and we need to find which is its equivalent in the given options .
So,
[tex]\bf = 5 ( x + 12 ) \\\\=\bf 5x + 5\times 12 \\\\=\boxed{\red{\bf 5x + 60 }}[/tex]
Hence option C is correct.what is the slope of this line
Answer:
Step-by-step explanation: Do rise and run
There is 7/8 of the pretzel bag left. If one serving is 1/4 of the bag. How many servings are left? Use the model to answer the question.
Answer:
5/8
Step-by-step explanation:
hi, back at it agian. i dont think this would be to hard. delta math sucks... i need this asap! ·ω·
Answer:
I can't read the words the picture is to grainy
Answer:
10% would be 6
Step-by-step explanation:
First you want to find the 100 percent amount to turn 40 into 100 you need to multiply it by 2.5 so you want to take 24 and multiply by 2.5 which equal 60 and 60 divided by 10 is 6
find the angle which y= equals to root 3 x -4 makes with yaxis
9514 1404 393
Answer:
30°
Step-by-step explanation:
The angle a line makes with the x-axis is arctan(slope). Here, that is ...
angle with x-axis = arctan(√3) = 60°
So, the angle made with the y-axis is the complement of this:
angle with y-axis = 90° -60° = 30°
can someone please help me.
Answer:
Step-by-step explanation:
1. isosceles
2. right scalene
3. obtuse scalene
4. equilateral
5. right isosceles
6. acute scalene
7. equilateral
8. isosceles
True or False. The higher the interest rate, the larger the balance will be after a determined amount of time (than with a lower interest rate).
Answer:
True
Step-by-step explanation:
Principle = Interest * Time
So if time doesn't change, You'll get more money when Interest is higher!
Solve the following formula for the specified variable. B=1/4m(r+k) for r
Answer: r=4b/m-k
Step-by-step explanation: I think
The solution of the given formula B=1/4m(r + k) for r is r = 4(B/m) - k.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
More than one variable may be present inside a linear equation. An equation is said to be linear if the maximum power of the variable is consistently unity.
Given the expression,
B=1/4m(r+k)
4B = m(r + k)
r + k = 4B/m
r = 4(B/m) - k
Hence "The solution of the given formula B=1/4m(r + k) for r is r = 4(B/m) - k".
For more about the equation,
brainly.com/question/10413253
#SPJ2
50 POINTS!!!43
what is 43 7/8% of $2.35?
Round your answer to the nearest cent
Answer:
$1.03
Step-by-step explanation:
7/8 = 0.875
then
43 7/8 = 43.875%
43.875/100 = 0.43875
2.35 * 0,43875 = 1.031
Round to the neares cent:
1.03
Step-by-step explanation:
[tex]43 \frac{7}{8} \% \: of \: 2.35 \\ \frac{351}{8} \% \: of \: 2.35 \\ \frac{351}{8 \times 100} \times 2.35 \\ \frac{824.85}{800} = \boxed{\$1.0310625}[/tex]
$ 1.0310625 is the right answer.You draw a card from a standard deck of cards three
times. What is the probability that you draw a spade,
then a red card, and then a face card (Jack, Queen, King)
with the following conditions. (Leave answers as fractions
in reduced form)
WITHOUT REPLACEMENT OF CARD
Answer:
yasssssss queen/king
Step-by-step explanation:
Evaluate x^2 + 2x -1 when x = -3
help
1. -2
2. 2
3. 16
4. -15
Answer:
2
Step-by-step explanation:
just put -3 to x
9-7=2
All you need the photo
The average rate of change of h(t) = -16t ² + 40t + 4 between t = 0 and t = 2 is
(h (2) - h (0)) / (2 - 0) = ((-16×2² + 40×2 + 4) - (-16×0² + 40×0 + 4)) / 2
… = ((-64 + 80 + 4) - 4) / 2
… = 16 / 2
… = 8
h(t) is measured in feet, so the average rate of change is measured in feet per second, so it's 8 feet per second.
Question
8 - (-7) =
Plz help me!!!
Answer:
8-(-7)=
8(7)=
8+7=15
Step-by-step explanation:
prove me wrong
How is the circumference of a circle related to its diameter
is this table linear or exponential what us the slope and what is the equation ?
Answer:
this table is exponential
Step-by-step explanation:
the way we can tell this is because we can find a common ratio of 4. we know this because linear tables have a common difference exponential tables have a common ratio. i found this answer by dividing 32,768 and 8,192
32,768/8,192 = 4
you can find a linear function by subtracting point 1 and point 2.
I need help on this with solutions please
Answer:
See answers below:
1. AAS2. ASA3. SAS4. HL5. SSS6. ΔABC ≅ ΔDFE7. ΔTRS ≅ ΔTUV8. ΔTRS ≅ ΔSUT9. ΔCAB ≅ ΔFDERamona went out with her 3 sisters, they spent $58 plus
9% tax on their meal. They also left a 15% tip. If they divided
up the bill evenly, how much did each of them spend?
Ramona went out with her 3 sisters, they spent $58 plus 9% tax on their meal. They also left 15% tip. If they divided up the bill evenly, how much did each of them spend?
Solution:[tex] \frac{58 + 58(9\% + 15\%)}{3} [/tex]
[tex] = \frac{58 + 58(0.09 + 0.15)}{3} [/tex]
[tex] = \frac{58 + 58 \times 0.24}{3} [/tex]
[tex] = \frac{58 + 13.92}{3} [/tex]
[tex] = \frac{71.92}{3} [/tex]
[tex] = 23.97[/tex]
Answer:Each of them did spend $23.97
#CarryOnLearning
#AnswerForTrees
#BrainlyBookSmart
Ten less than three times a number is 2.
Answer:
the number is 4
Step-by-step explanation:
4 times 3=12
12-10=2
hope this helps!
Answer:
it's 7!
Step-by-step explanation:
I GIVEEE BRAINLILSTT
Answer:
(x, y) --> (x + 14, y + 8)
Step-by-step explanation:
Look at 1 original point and its corresponding translated point.
Let's look at F and F'.
To go from F to F', you need to go right in x 14 units.
Then you need to go up in y 8 units.
The translation rule is to add 14 to x and 8 to y.
(x, y) --> (x + 14, y + 8)
Answer:
fhddffhfdjdfgjmtgfjn
Step-by-step explanation:
fgngng ndgngfnngfngfn
Write the equation that describes the line with slope = 4 and y-intercept = -2 in slope-intercept form.
Answer:
2 66
Step-by-step explanation:
beacuse ima gansta and you a cracka so whats up with it
16 is a factor of 24.
O A. True
O B. False
Jack can make 3 cups of croutons from
5 slices of bread. How many cups of
croutons can he make from 35 slices of
bread?
Answer:
there are 7 fives in 35
and each 5 slices makes 3 cups
so,,7×3=21 cups
Answer:
21 cups
Step-by-step explanation:
Could you describe the expression 2(3+4) as a product of two factors?
the answer will be 10 just multiply the numbers
how do i do this please help!
Answer:
id no lollll prob 3Step-by-step explanation:
What is the length of side EF in the triangle? Please give a step by step explanation, I'm having lots of trouble finding the solution. Thank you!
Answer:
EF = 8.8 cm
Step-by-step explanation:
In the given right angled ΔDEF, DE is the hypotenuse while EF and DF are adjacent sides. So that applying the Pythagoras theorem, we have;
[tex]/hyp/^{2}[/tex] = [tex]/adj1/^{2}[/tex] + [tex]/adj2/^{2}[/tex]
[tex]/DE/^{2}[/tex] = [tex]/EF/^{2}[/tex] + [tex]/DF/^{2}[/tex]
[tex]/16.2/^{2}[/tex] = [tex]/EF/^{2}[/tex] + [tex]/13.6/^{2}[/tex]
262.44 = [tex]/EF/^{2}[/tex] + 184.96
[tex]/EF/^{2}[/tex] = 262.44 - 184.96
= 77.48
EF = [tex]\sqrt{77.48}[/tex]
= 8.8023
EF = 8.8 cm
The length of side EF is 8.8 cm.
Please help it’s so important
Given:
In [tex]\Delta ABC, \overline{CA}=\overline{CB}[/tex].
[tex]\overline{CD}[/tex] is an altitude drawn from C to [tex]\overline{AB}[/tex].
To prove:
[tex]\overline{CD}[/tex] bisects [tex]\overline{AB}[/tex].
Proof:
In [tex]\Delta ABC[/tex], [tex]\overline{CD}[/tex] is an altitude drawn from C to [tex]\overline{AB}[/tex].
It means, [tex]\Delta ACD\text{ and }\Delta BCD[/tex] are right angle triangles.
In [tex]\Delta ACD\text{ and }\Delta BCD[/tex],
Hypotenuse : [tex]\overline{CA}=\overline{CB}[/tex] [Given]
Leg : [tex]\overline{CD}=\overline{CD}[/tex] [Common]
If the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then by HL postulate both triangles are congruent.
[tex]\Delta ACD\cong \Delta BCD[/tex] [HL postulate]
[tex]\overline{AD}\cong \overline{BD}[/tex] [CPCTC]
[tex]\overline{AD}=\overline{BD}[/tex]
It means, point D is the midpoint of [tex]\overline{AB}[/tex].
So, [tex]\overline{CD}[/tex] bisects [tex]\overline{AB}[/tex].
Hence proved.
joe boght 15 tolets. 1 was pure gold 2 were pure silver and the rest were wooden. how many wooden toilets were there?
What is the slope of line p?
Answer:
2/3
Step-by-step explanation:
Slope is rise over run which is 2/3
Answer questions 3,4, and 7.