Work out the height of a triangle with base,
base = 6.3mm and area,
Area = 35.595mm squared.
Step-by-step explanation:
formula used is height= area×3/base
35.595×2/6.3
71.19/6.3
11.3mm2 is the answer
Answer:
[tex] \huge{ \fbox{ \sf{11.3 \: mm}}}[/tex]
Step-by-step explanation:
[tex] \underline{ \sf Given} : [/tex]
[tex] \star{ \sf{ \: Base \: of \: a \: triangle \: (b) \: = 6.3 \: mm}}[/tex]
[tex] \star{ \sf{ \: Area \: of \: a \: triangle \: (a) = 35.595 \: {mm}^{2} }}[/tex]
[tex] \star{ \sf{ \: Let \: height \: of \: a \: triangle \: be \: h}}[/tex]
[tex] \underline{ \underline{ \sf{ \: Finding \: the \: height \: of \: a \: triangle}}} : [/tex]
[tex] \boxed{ \sf{Area \: of \: a \: triangle = \frac{1}{2} * base \: * \: height}}[/tex]
[tex]\sf{Plug \: the \: values}[/tex]
[tex] \mapsto{ \sf{35.595 = \frac{1}{2} * 6.3 * h}}[/tex]
[tex] \mapsto{ \sf{35.595 = \frac{6.3h}{2} }}[/tex]
[tex] \sf{Apply \: cross \: product \: property}[/tex]
[tex] \mapsto{ \sf 6.3h = 35.595 * 2}[/tex]
[tex] \mapsto{ \sf{6.3h = 71.19}}[/tex]
[tex] \sf{Divide \: both \: sides \: by \: 6.3}[/tex]
[tex] \mapsto{ \sf{ \frac{6.3h}{6.3} = \frac{71.19}{6.3}}} [/tex]
[tex] \mapsto{ \sf{h = 11.3 \: mm}}[/tex]
The height of a triangle = 11.3 mm
Hope I helped!
Best regards! :D
~[tex] \sf{TheAnimeGirl}[/tex]
Solve for x: 4.23x + 1 = 17.8929 A. 0 B. 14.6629 C. 5.23 D. 6.23 PLEASE HELP!!!
Answer:
d
Step-by-step explanation:
Find JH if I is the midpoint.
Answer:
158
Step-by-step explanation:
If I is the midpoint of JH, JI= IH
JH= JI +IH
JH= JI +JI (subst. IH= JI)
JH= 2(JI)
Since JI= 79,
JH= 2(79)
JH= 158
Can someone please work this out step by step for me
I assume we're solving for n.
3n/7 - 1 = 1/8.
First, add 1 to both sides.
3n/7 = 9/8
Now, let's multiply both sides by 7
3n = 63/8
Divide both sides by 3
n = 21/8
What will be the coordinates of the upper-right vertex of
the next largest (fourth) square in the pattern?
(5,5)
(7,7)
(8,8)
(16, 16)
Answer:8,8
Step-by-step explanation:
Took the test on edge
Answer:
C. (8, 8)
Step-by-step explanation:
Edge 2022. ^
How do you solve this kind of equation? 9(x+2) > 9(x-3)
Step-by-step explanation:
okay so that's an inequality. You solve it the same way you saw the regular equation. the only difference is that if you divide or multiply by a negative number then you have to turn the sign around.
Answer:
0>-45
True for all x
Step-by-step explanation:
[tex]9(x+2) > 9(x-3)\\\\\mathrm{Expand\:}9\left(x+2\right):\quad 9x+18\\\\\mathrm{Expand\:}9\left(x-3\right):\quad 9x-27\\9x+18>9x-27\\\\\mathrm{Subtract\:}18\mathrm{\:from\:both\:sides}\\\\9x+18-18>9x-27-18\\\\Simplify\\\\9x>9x-45\\0>-45[/tex]
What is 15 to the 7 power divided by 15 to the 4 power equal to?
Answer:
3375
Step-by-step explanation:
A 4-ounce container of Greek yogurt contains 160 calories. Find the unit rate of calories per ounce.
Answer:
40 did it on edge
Step-by-step explanation:
The unit rate of calories per ounce will be 40 calories/ ounce
What is proportion ?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
We are given that 4-ounce container of Greek yogurt contains 160 calories and it is to calculate for one ounce calories contain in Greek yogurt :
4-ounce = 160
1- ounce = 160/4
=40
Therefore, the unit rate of calories per ounce = 40 calories/ ounce.
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1/cosec theta + cot theta -1/ sin theta=1/sin theta - 1/ cosec theta -cot
theta
Answer:
[tex]\theta =2n\pi, \;\frac{\pi}2+2n\pi \;\;\text{for all}\; n=0,1,2,...[/tex]
Step-by-step explanation:
[tex]\frac 1{\text{cosec} \theta}+\cot \theta-\frac 1{\sin \theta}=\frac 1{\sin \theta}-\frac 1{\text{cosec} \theta}-\cot \theta[/tex]
[tex]\Rightarrow \frac 2{\text{cosec} \theta}+2\cot \theta-\frac 2{\sin \theta}=0[/tex]
[tex]\Rightarrow \frac 1{\text{cosec} \theta}+\cot \theta-\frac 1{\sin \theta}=0[/tex]
[tex]\Rightarrow \sin \theta -\frac 1{\sin \theta}+\frac{\cos \theta}{\sin \theta}=0[/tex]
[tex]\Rightarrow \frac{\sin ^2\theta-1+\cos \theta}{\sin \theta}=0[/tex]
[tex]\Rightarrow \frac{-\cos ^2\theta+\cos \theta}{\sin \theta}=0\Rightarrow\frac{\cos \theta-\cos ^2\theta}{\sin \theta}=0[/tex]
[tex]\Rightarrow \cot \theta(1-\cos \theta)=0[/tex]
[tex]\text{If} \;\;1-\cos \theta=0\Rightarrow \cos \theta=1[/tex]
[tex]\Rightarrow \theta=2n\pi\;\; \text{for all}\; n=0,1,2,.....[/tex]
[tex]\text{If} \cot \theta=0\Rightarrow \frac{\cos \theta}{\sin \theta}=0\Rightarrow \cos \theta=0[/tex]
[tex]\Righarrow \theta =\frac{\pi}2+2n\pi\;\;\text{for all}\; n=0,1,2,...[/tex]
Hence, [tex]\theta =2n\pi, \;\frac{\pi}2+2n\pi \;\;\text{for all}\; n=0,1,2,...[/tex]
2 Truths & One Lie
- 39 - b = - 3
1. The Variable is B in this Equation
2. b = -36
3. b = 36
Which one is a Lie?
Justify your decision.
WILL GIVE 20 POINTS!!
Answer:
b = 36 is the lie.
Step by step:
If we plug in b with it equaling -36 the equation will be
-39 - (-36) which you remove the minus from the -36 and change the subtraction to addition and you get
-39 + 36 = -3
In the end b = -3
So the other one must be wrong, but just incase we will plug it in.
-36 - 36 = 0
Plugging in 36 for b results in 0 which is not correct.
solve the equation 2w=58
Answer:
29
Step-by-step explanation:
all you do is divide.
For each question, draw a figure. Label the information on the figure. Write an equation that solves the
problem. Find the two answers requested. On AC, B is between A and C. For each question, find x and AB.
10. AB = 2x + 5, AC= 10x + 2. BC= 4x + 9.
11. AB = 3x, BC =x-6, AC = 8x - 14
Answer:
See attachment for the figures drawn for each question.
10. x = 3; AB = 11
11. x = 2; AB = 6
Step-by-step explanation:
10. AC = 10x + 2
AB = 2x + 5
BC = 4x + 9
AB + BC = AC (segment addition postulate)
(2x + 5) + (4x + 9) = 10x + 2 (substitution)
The equation above is what we would use to solve the problem as follows:
2x + 5 + 4x + 9 = 10x + 2
Combine like terms
6x + 14 = 10x + 2
6x - 10x = -14 + 2
-4x = -12
Divide both sides by -4
x = 3
AB = 2x + 5
Plug in the value of x
AB = 2(3) + 5 = 6 + 5
AB = 11
11. AB = 3x
BC = x - 6
AC = 8x - 14
AB + BC = AC (segment addition theorem)
3x + (x - 6) = 8x - 14 (substitution)
Use the equation to solve for x as follows:
3x + x - 6 = 8x - 14
Collect like terms
4x - 6 = 8x - 14
4x - 8x = 6 - 14
-4x = -8
x = 2 (dividing both sides by -4)
AB = 3x
AB = 3(2)
AB = 6
What is the quotient of StartFraction 6 Over 7 EndFraction and StartFraction 3 Over 14 EndFraction?
(A) 1/4
(B) 2
(C) 3 1/3
(D) 4
Answer:
The correct answer is (D) 4
Step-by-step explanation:
Hopes this helps!
Answer:
(D) 4
Step-by-step explanation:
6/7
÷
3/14
=
6/7
×
14/3
=
6 × 14
7 × 3
=
84/21
=
84 ÷ 21
21 ÷ 21
= 4
What degree does the function have?
F(x)=-2x^3+7x
Even or Odd
Answer:
The answer is Odd.
Step-by-step explanation:
I hope this helps you :)
Which of the following inequalities is not true?
|-9| ≠ |9|
-2 2 < 3
-7 ≤ -5
|-1| ≥ 0
Answer:
[tex] | - 9| = |9| [/tex]
This is because modulus number will be always positive
Hope this is correct and helpful
HAVE A GOOD DAY!
When all the values in a data set are written in order from least to greatest, the value that is in the middle, with an equal number of values below it and equal number of values above it, is called the _____ median mean mode range
Answer:
Median
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
1. Simplify: (3x + 4y – 2z) - (-2z + 6y)
Answer: x - 2y + 2z
keep it in alphabetical order!
Step-by-step explanation:
the negative on the outside changes what is on the inside, so the new equation will be
3x + 4y - 2x + 2z - 6y
combine like terms
x - 2y + 2z
Answer: 3x +10y
Step-by-step explanation:
first you put all the common integers (i think that is what they are called) together
3x+4y+6y-2z-(-2z)
Then you add and subtract all the integers
4y+6y=10y
-2z-(-2z)=0
so the answer is
3x+ 10y
Hopefully this is the right answer
God bless you!!
how do you round up/down numbers PLEASE ANSWER
Answer:If the number is over 5 then you go to the next number
Step-by-step explananation
7.99 = 8 its over 5
3h-2(4h-5)=10-5h A-0 B-4 C-infinity many solutions D-no solutions
Answer:
Step-by-step explanation:
3h - 8h + 10 = 10 - 5h
-5h + 10 = 10 - 5h
10 = 10
infinitely many solutions
Claudia studied for 45 minutes. Crystal studied for 5 minutes. The number of minutes that Claudia studied is how many times the number of minutes that Crystal studied?
Answer:
school sucks man but you gotta do it or else you get reported to the RUSSIANS for not doing your hw so here you goo...
9
9x5=45
What is the area of a rectangle
with a length of 5 cm and a width of
4 cm
Answer:
Area = 20 cm²
Step-by-step explanation:
Area = width * length
area = 5cm * 4cm
area = 20 cm²
Answer:
20 cm
5x4 =20
length times width
A bag holds 12 red marbles, 11 green
marbles, 17 blue marbles, and 5 yellow
marbles. What is the probability that
you will NOT choose a blue marble?
5
A
45
(В)
11
45
12
© 45
28
45
Answer:
62.22%
Step-by-step explanation:
First, find how many total marbles there are:
12 + 11 + 17 + 5
= 45
Then, find how many marbles that are not blue:
12 + 11 + 5
= 28
Then, divide 28 by 45, and multiply by 100
(28/45) x 100
= 62.22% is the probability of not choosing a blue marble
8. Tonya is cutting square frame mats to frame several square photographs. She can determine the area of the mat from the function m{x) = x2 + 6x + 9, where x is the length in inches of the side of the photograph and m(x) represents the area of the mat. Find the area of the mot given a photograph with a side length of 4.6 inches. in (DO NOT INCLUDE SPACES IN YOUR ANSWER
Answer:
57.76 in²
Step-by-step explanation:
Plug in 4.6 as x in the equation and solve:
m(x) = x² + 6x + 9
m(4.6) = (4.6)² + 6(4.6) + 9
m(4.6) = 57.76
So, the area of the mat is 57.76 in²
Ok this is not a solve, more of a vocab question. Whats the term used for the number circled? Like is that called a coefficient or something??
Answer:
I believe the term is the index number
Lincoln's car used 16 gallons to travel 640 miles. How far can he travel on 9 gallons?
Answer: 360 miles
Step-by-step explanation: 640/16=40. 40x9=360.
How do u write 0.57 repeating as a fraction in simplest form explain the steps please!
Answer:
57/99
Step-by-step explanation:
let's set up an equation:
x = 0.5757...
set up a second equation so the numbers after the decimal places are equal
100x = 57.5757...
subtract
100x = 57.5757...
- x = 0.5757
99x = 57
divide by 99
x = 57/99
0.57 repeating can be expressed as the fraction 19/33 in simplest form.
We have,
Let x = 0.575757... (with 57 repeatings)
Multiplying x by 100,
100x = 57.575757...
Subtracting the original x from 100x,
100x - x = 57.575757... - 0.575757...
99x = 57
To obtain x, divide both sides by 99:
x = 57/99
Dividing both the numerator and denominator by 3,
x = (57/3) / (99/3)
x = 19/33
Therefore,
0.57 repeating can be expressed as the fraction 19/33 in simplest form.
Learn more about expressions here:
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What is shrek’s ultimate life form
shrek himself is the ultimate life form
Answer:
This is Shreks ultimate form.
Step-by-step explanation:
This is Shreks ultimate form.
What does (-4/5) - 7/5 equal to?
Answer:-3
Step-by-step explanation:
Answer:
-11/5
Step-by-step explanation:
-4/5 - 7/5 = (-4-7)/5 = -11/5
The midpoint of segment AB is (-2,5). The coordinates of point A are (-7,3). Find the coordinates of point B.
A)
(3,7)
B)
(3, 1)
09
(7,3)
D)
(-13, 1)
Answer:
A) (3,7)
Step-by-step explanation:
If the value of x goes from -7 to -2, that means to get the coordinate b you have to add 5 again, so the x value of coordinate B is 3. Then, if the value of y goes from 3 to 5 you have to add 2 to the y-value again to get 7. So the y value is 7. Meaning the final answer is (3,7)
Answer:
A) (3,7)
Step-by-step explanation:
if you graph the given points you see that point A from the mid point is 2 rise and 5 run. Count that same rise over run to find B. Look at graph for help.
30. June's weekly salary is $70 less than Kelly's, which is
$50 more than Eileen's. If Eileen earns $280 per week.
how much does June earn per
week?
6.
(A) $160
(B) $260
(C) $280
(D) $300
Drew