Answer:
h = 7
Step-by-step explanation:
We are given the equation A=bh , and need to work out the unknown variable .
So we substitute the values of A and b given :
70 = (10)(h)
70 = 10 × h
Divide both sides by 10 :
70 ÷ 10 = h
h = 7
Hope this helped and have a good day
-5/6+ 2/6
i really need help
Answer:
1 and 1/6 or 7/6
Step-by-step explanation:
Answer:
7/6
Step-by-step explanation:
=5/6+2/6
=5/6+1/3
7/6
Define the concept of an angle and show how it should be indicated in Math (notation). Mention at least two ways.
An angle is denoted by the angle symbol ∠ and the three letters representing the name of the angle.
An angle is denoted by the angle symbol ∠ which is then being followed by three letters that will represent the points that form an angle.
Lets say for example, the expression ∠ABC will mean that “the angle is formed by the points A, B and C”
where the vertex of the angle is at the point B as it is in the middle.
Angles can also be of different types like:
An Acute Angle which means an angle is less than 90 degrees.
A Right Angle which means an angle which is exactly 90 degrees.
An Obtuse Angle which is an angle more than 90 degrees and less than 180 degrees.
A Straight Angle which is an angle that is exactly 180 degrees.
And a Reflex Angle which is an angle greater than 180 degrees and less than 360 degrees.
Therefore, an angle is denoted by the angle symbol ∠ and the three letters representing the name of the angle.
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B ABCD is a parallelogram and angle A< 90°. The height through the vertex D intersects the diagonal AC at point M. The height through vertex B intersects the diagonal AC at point N. Prove that MBND is a parallelogram.
MBND is a parallelogram as BN=MD and BN║MD.
A parallelogram is a quadrilateral whose both pair of opposite side are equal and parallel. Few examples of parallelograms are square, Rhombus and rectangle.
Given ABCD is a parallelogram and ∠A=90°
Now we have to prove that MBND is a parallelogram
Given BN⊥AC and DM⊥AC
Since BN and DM are both perpendicular to the same straight line AC then we cam say that BN║DM.
Again we know from the properties of parallelogram that the diagonal divides a parallelogram into two equal triangles.
Therefore the diagonal AC divides the parallelogram into two equal triangles ΔABC and ΔADC.
Now we know that the area of a triangle is given by [tex]\frac{1}{2}[/tex] ×base ×height .
Area of ΔABC =Area of ΔADC
Since BN⊥AC and DM⊥AC
∴[tex]\frac{1}{2}[/tex]×BN×AC=[tex]\frac{1}{2}[/tex]×DM×AC
This above equation can be simplified as
BN=MD
Hence BMND is a parallelogram as we know from the properties of parallelogram that when a pair of opposite sides are equal and parallel in a quadrilateral it is a parallelogram.
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What is the slope of a line perpendicular to the line whose equation is 4x+5y=354x+5y=35. Fully simplify your answer.
The perpendicular slope is expressed as the negative reciprocal of the slope or − 1 m. In this scenario, the slope, or m, is −4 so the slope of the perpendicular line is − 1 −4 which simplifies to 1 4
ok, help me out with this one
2. Which of the following shows 3 less than an unknown value?
a. n-3
b. n + 3
C. 3- n
d. 3 + n
Answer:
a
Step-by-step explanation:
the unknown value is n then 3 less than this value is
n - 3
Answer:
answer is C
because other equations normally n>3 but C equation normally is n<3
so answer is C
I need help finding the m with m
The value of x in the angles is 17
How to determine the value of x?The angles are given as
3x + 10 and 2x - 5
These angles are complementary angles
So, we have
3x + 10 + 2x - 5 = 90
Collect the like terms
So, we have
3x + 2x + 10 - 5 = 90
Evaluate the like terms
So, we have
5x = 85
Divide both sides by 5
x = 17
Hence, the value of x in the angles is 17
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please help!
there’s a picture, to see the question
Answer:
it's x+3
Step-by-step explanation:
it seems to go up by one so if you go down by you the input of 1 would be the output of 4 also known as (1,4)
and go again down by 1 and get (0,3)
so we know we have to add 3 each time so it is x+3
Use technology to c ompute the standard deviation for the following sample data. 32, 41, 36, 24, 29, 30, 40, 22, 25, 37
The standard deviation is provided by this. = 6.7528
What role does standard deviation play?Because it aids in comprehending measurements whenever the data is distributed, the standard deviation is significant. The standard deviation of the data will be higher the more evenly distributed the data is.
According to the given data:sample data = ( 32, 41, 36, 24, 29, 30, 40, 22, 25, 37)
To find mean of the given data:
Mean = Sum of items/ Count items
Mean = (32 + 41 + 36 + 24 + 29 + 30 + 40 + 22 + 25 + 37 / 10)
= 31.6
now finding the variance:
First we Add All the sample:
32 + 41 + 36 + 24 + 29 + 30 + 40 + 22 + 25 + 37 = 316
make Square of the solution:
316*316 =99856
and multiply by how many items there are. We have 10 items.
=99856/10
= 9985.6
For the time being, put this number aside.
Take your original set of numbers from Step 1 and square each one this time on its own.
32² + 41² + 36² + 24² + 29² + 30² + 40² + 22² + 25² + 37² = 10396
Subtract the sum from Step 2 from of the sum from Step 3.
10396 - 9985.6 = 410.4
The items in someone data set is reduced by 1 by.10 - 1 = 9
Divide the result of Step 4 even by result of Step 5. You get the variation from this.
410.4 / 9 = 45.6
Your response from Step 6 should be squared. The standard deviation is provided by this.
6.7528
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I understand that the question you are looming for is:
For the following sample data, compute the variance and the standard deviation. 32, 41, 36, 24, 29, 30, 40, 22, 25, 37
find both area and perimeter of square its length is 16 cm
Answer:
Perimeter=16cm
Area=16cm
Step-by-step explanation:
we know that all 4 sides of square are equal. So,
Length of 4 sides of square= 16cm
Length of 1 side of square= 16/4cm=4cm
Now that we have found the length of single side of square, by using the formula of area and perimeter we can get of square like this:
Perimeter= 4 times the length of square
or,Perimeter= 4*4
Therefore,Perimeter=16 cm
Now,
Area=square of length of side
or,Area=4^2
Therefore, Area=16 cm
Which of the following numbers is divisible by 3?
a) 539
b) 85
c) 9,285
d) 640
Answer:
C
Step-by-step explanation:
539/3 = 179.666
85/3 =28.3333
9285/ 3 = 3095
640/3=213.3333
Answer:
C
Hope this helps :)
Step-by-step explanation:
All the others numbers equal a decimal when divided by 3. However, C equals a whole number so it's C.
9,285 ÷ 3 = 3,095
please help me with this i will mark as brainliest
Answer:
SHOWN BELOW!!!!
Step-by-step explanation:
KEEP IN MIND ----> *Square root of a number is a value, which on multiplication by itself gives the original number. The square root is an inverse method of squaring a number.*
Alright so the first equation C^2 - 49 = 0
Step 1 : Add 49 to both sides
C^2 - 49 + 49 = 0 + 49
C^2 = 49
Step 2 : Take the square root
(squ root) C^2 = (squ root)49
C = +/- (squ root) 49
Final answer ---> C = 7 OR C = -7
2.) 4S^2 - 100 = 0
Step 1 : Add 100 to both sides
4S^2 - 100 + 100 = 0 + 100
4S^2 = 100
Step 2 : Divide both sides by 4
4S^2/4 = 100/4
S^2 = 25
Step 3 : Take the square root
(squ root) S^2 = (squ root) 25
S = +/- (squ root) 25
Final answer ---> S = 5 OR S = -5
3.) 9x^2 = 324
Step 1: Divide both sides by 9.
9x^2/9 = 324/9
x^2 = 36
Step 2: Take the square root
squ root) x^2 = (squ root) 36
x = +/- (squ root) 36
Final answer ---> x = 6 OR x = -6
If I spend 35 every week for a year how much do I spend?
Answer:
$1,820
Step-by-step explanation:
The math problem is $35 times 52 weeks
Solve the quadratic equation by completing the square.
2
x² - 10x+10=0
Answer: x=5+[tex]\sqrt{15}[/tex]
Step-by-step explanation:
x² - 10x+10=0
x² - 5x - 5x+10=0
x² - 5x - 5x+25-15=0
(x-5)^2 -15=0
(x-5)^2=15
x-5=[tex]\sqrt{15}[/tex]
x=5+[tex]\sqrt{15}[/tex]
Please Help!
Find the dimensions of an American football field. The length is 200ft. more than the width, and the perimeter is 1,040ft. Find the length and width. Use the perimeter formula P=2L+2W
The width and length of the field are 160ft and 200ft respectively
When both the given variables are related to each other, we are required to consider one variable as x and the other as a function of x to solve accordingly
Let the width of the football field be 'x' ft.
then according to given data,
length= 200 ft more than width= (x+200)ft
According to given,
Perimeter of the given field =2L+2W=1040
where L is length and W is the width
Now putting the values of length and width earlier derived, we get:
2(x)+2(x+200) =1040
2x+2x+400=1040
4x+400=1040
4x=1040-400
4x=640
x=160ft
Now, the width of the field= x=160ft
length of the field= x+200=160+200=360ft
Hence the length and the width of the field are 160ft and 360ft
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Draw the graph of y = x² – 4x + 3. Identify the intercepts (x and y), the vertex, and the axis of symmetry.
Answer:
y-intercept : 3
x-intercepts are 1 and 2
Vertex is at (2,-1)
Axis of symmetry is at x = 2
Step-by-step explanation:
See attached graph.
The equation y = x² – 4x + 3 represents a parabola
y-intercept at is at B(0,3); y-intercept is 3
x-intercept points at C(1,0) and D(3,0) so x-intercepts are 1 and 3
The vertex is the lowest point on this parabola (2-1)
Axis of symmetry is a line passing through the vertex and dividing the parabola into two equal halves. This is the vertical line x = 2
(HELP) The town of Miami is mapped on a coordinate
grid with the origin being at City Hall. Jordan's house
is located at the point (-5, 7) and Ca'Miyah's house is
located at (-2, 3). To the nearest tenth, How far is it
from Jordan's house to Ca'Miyah's house?
(51)
Answer: 5.2
Step-by-step explanation:
If we put both points on a grid, Jordan's house would be 4 points above and 3 points to the left of Ca'Miyah's. We can plug these two amounts into the pythagorean theorem to find the distance between the houses: 4^2 + 3^2 = x^2. If we solve this equation, we get 5.196, which rounds to 5.2.
Hope this helps!
A Principal of #5,600 was deposited for 3 years at compound interest If the interest earned was #1,250, find correct to 3 Significant figures, the interest rate Per annum
The annual interest rate is 6.69% for 3 years at compound interest.
What does the term "compound interest" mean?
The interest you earn on interest is known as compound interest. Simple math may be used to demonstrate this: if you have $100 and it generates 5% interest annually, you will have $105 at the end of the first year. You will wind up with $110.25 at the conclusion of the second year.[tex]A = P.( 1 + \frac{r}{n} )^{n.t}[/tex]
p = 5600
t = 3
I = 1200
n = 1
The interest earned I is
I = [tex]P. ( 1 + \frac{r}{n} )^{n.t} - P[/tex]
1200 = [tex]5600 . ( 1 + \frac{r}{1} )^{1.3} - 5600[/tex]
[tex]1200 = 5600 .( 1 + r )^{3} - 5600[/tex]
[tex]\frac{1200}{5600} = ( 1 + r)^{3} - 1[/tex]
[tex]\frac{3}{14} = ( 1 + r )^{3} - 1\\[/tex]
[tex]\frac{17}{14} = ( 1 + r)^{3}[/tex]
Take the log base 10 of both sides
log17 - log14 = 3.log( 1 + r)
1.23045 - 1.14613 = 3.log( 1 + r)
3.log( 1 + r) = 0.084322
log( 1 + r) = 0.028107
1 + r = [tex]10^{0.28107}[/tex]
1 + r = 1.06686
r = 0.06686
The annual interest rate is 6.69%.
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Helpppppppppppppppppppppppppppp
Suppose that A and B are points on the number line.
If =AB11 and B lies at 9, where could A be located?
Answer: A=-2
Step-by-step explanation:
AB=11
B=9
B-11=A
9-11=A
A=-2
a phrase that describes a set of real numbers is given. express the phrase as an inequality involving an absolute value. all real numbers x more than 2 units from 0
All real numbers x more than 2 units from 0 will be |x - 2| ≤ 0.
What does "real number" mean?
In mathematics, a real number is a quantity that may be represented by an endless number of decimal expansions. In contrast to the natural numbers 1, 2, 3,... that result from counting, real numbers are utilized in measurements of continuously altering quantities such as size and time.All real numbers x at most 2 units from 0
This means if x is centered at 2 then it can move at the max 2 units on either side (i.e. 4 units after 2 and 0 units before 2)
This will be |x - 2| ≤ 0
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Find the equation of the line shown.
The equation of the line shown in the diagram is y = 0.5x+0.5.
What is a line?A line is a mark connecting two points.
To calculate the equation of the line, we use the formula below
Formula:
y = mx+c.............. Equation 1Where:
m = Slope of the graphc = Intercept on the vertical axis.From the diagram,
Given:
m = 1/2 = 0.5c = 0.5Substitute these values into equation 1
y = 0.5x+0.5Hence, the equation of the line shown in the diagram is y = 0.5x+0.5.
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Lamar goes for a bike ride every day. For the last two weeks, he tracked the distance he rode and his time. He made a scatter plot to show the relationship between the distance and time for each of his bike rides.
Which of the following is the best estimate for how long it would take Lamar to ride 15 miles?
Answer:
Where exactly is the "the following" you are talkibg about.
Answer:40 miles
Step-by-step explanation:
An isosceles triangle has a base of 14cm and sides of 50cm. calculate its height
A triangle is a 2-dimensional shape that has 3sides and 3 interior angles. The height of the isosceles triangle is approximately 49.5cm
Pythagoras theoremThe theorem states that the square of the hypotenuse is equal to the sum of the square of other two sides.
From the given question, the hypotenuse is 50cm and the base of the triangle is 14cm
Determine the height using the expression
h² = 50² - (14/2)²
h² = 2500 - 7²
h² = 2500 - 49
h = √2451
h = 49.5cm
Hence the height of the triangle is approximately 49.5cm
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Of the students at Milton Middle School, 143 are girls. If 55% of the students are girls, how many total students are there at Milton Middle school?
A.
260
B.
325
C.
195
D.
130
4 less than a number n is −15 in eqation form
Answer:
n - 4 = - 15
Step-by-step explanation:
Hope this helps :)
1/19 7/4 -4/7 in order from least to greatest
Answer:
-4/7, 1/19, 7/4
Step-by-step explanation:
-4/7 is less then zero, and the only negative number so it is first
1/19 is the second lowest
7/4 is the highest because it is the only one that is greater then 1. (simplified, 7/4= 1 3/4)
evaulate 5m+7 if m=5
Answer:
32
Step-by-step explanation:
[tex]5\cdot \:5+7[/tex]
A cylindrical tube 14.5 cm high and 4.5 cm in diameter is used to collect blood samples. how many cubic decimeters (dm3) of blood can it hold (v of a cylinder = r2h)?
The amount of blood that a cylindrical tube hold will be 0.23 cubic dm.
What is the volume of a right circular cylinder?Let r be the radius and h be the height of the cylinder. Then the volume of the cylinder will be
V = π r²h cubic units
A cylindrical tube 14.5 cm high and 4.5 cm in diameter is used to collect blood samples. Then the radius of the cylinder will be
r = d / 2
r = 4.5 / 2
Then the volume of the cylinder will be
V = π r²h
V = 3.14 (4.5 / 2)² × 14.5
V = 3.14 × 20.25 × 14.5 / 4
V = 921.98 / 4
V = 230.5 cubic cm
V = 0.23 cubic dm
The amount of blood that a cylindrical tube hold will be 0.23 cubic dm.
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Find the slope of the line passing through the points (7, -2) and (7,5).
slope:
Answer: the slope=0
Step-by-step explanation:
[tex]\displaystyle\\(7,-2)\ and\ (7,5)\\[/tex]
[tex]\displaystyle\\\boxed {the \ slope=\frac{y_2-y_1}{x_2-x_1} }[/tex]
[tex]x_1=7\ \ \ \ \ x_2=7\ \ \ \ y_1=-2\ \ \ \ \ y_2=5\\Hence,\\\displaystyle\\the slope=\frac{7-7}{5-(-2)} \\\\the\ slope=\frac{0}{5+2} \\\\the\ slope=\frac{0}{7}\\\\ the\ slope=0[/tex]
