Answers
Answer:
40 units²
Step-by-step explanation:
Surface Area of a square pyramid = b² + 2bl, b = 4, and l = 3
=> (4)² + 2(4)(3)
=> 40 units²
Hope this helps!
Answer:
4 x 4 = 16(area of base below *square*)
3 x 4 = 12, 12 divided by 2 ( x 1/2) = 6(area of one triangle side), 6 x 4 = 24(area of 4 triangles on all sides
Adding all given areas:
16 + 24 = 40 squared.
Related Questions
Is the triangle with sides of length 5 cm 3 cm and 4 cm a right angled triangle If yes why?
Answers
The triangle with sides of length 5 cm 3 cm and 4 cm is a right angled triangle because (3, 4, 5) is a Pythagorean triple.
We know that if non zero real numbers a, b, c follows Pythagoras theorem c² = a² + b², the numbers a, b, c is called as a Pythagorean triple.
And these numbers are nothing but the sides of right triangle.
Here we have been given the triangle with sides of length 5 cm 3 cm and 4 cm
Assume that p = 5 cm, q = 3 cm and r = 4 cm
p² = 25
q² = 9
and r² = 16
Consider q² + r² = 16 + 9
q² + r² = 25
q² + r² = r²
Since given numbers follows Pythagoras theorem, (3, 4, 5) is a Pythagorean triple.
And p = 5 cm, q = 3 cm and r = 4 cm are the lengths of sides of right triangle.
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The first sequence rule is multiply by 3 starting from 4. The second sequence rule is add 8 starting from 20. What is the first number that appears in both sequences?
12
20
28
36
Answers
Answer:
36
Step-by-step explanation:
I thought I just answered that one.
the first sequence had only numbers that can be divided by 3.
so, what is the first number of the second sequence that can also be divided by 3 ?
36 - it fits both.
can someone please give me the answer to #1
Answers
Answer:
x: -8, 0, 8, 16, 24
y: -8, -5, -2, 1, 4
Step-by-step explanation:
For the X values, it is going up by 8.
For the Y values, plug in the X value into the equation.
which statement correctly compares the function shown on this graph with
the function y = 4x + 2?
A. The function shown on the graph has a smaller rate of change, but
a higher starting point.
O B. The function shown on the graph has a greater rate of change, but
a lower starting point.
C. The function shown on the graph has a greater rate of change and
a higher starting point.
D. The function shown on the graph has.a omaller rate of change and
a lower starting point.
Answers
B. The function shown on the graph has a smaller rate of change, but a higher starting point.
What is rate of change in linear graph?Rate of change = slope of a linear graph.
Given the linear function, [tex]y=4x+2[/tex] , the rate of change here is represented by the slope of the line, which is 4.
Let's find the rate change of the function represented on the graph using slope formula:
Rate of change = [tex]\frac{y2-y1}{x2-x1}[/tex]
Use coordinates of any two points on the line. Let's take,
[tex](0,4)= (x1,y1)\\(1,7)=(x2,y2)[/tex]
Rate of change = [tex]\frac{7-4}{1-0} = 3[/tex]
Rate of change of the linear function of the graph = 3.
Thus the function on the graph has a smaller rate of change, than the function, y = 4x + 2.
The starting value of a function is the y-intercept, that is, the value of y, when x = 0. It is the point at which the line intercepts the y-axis.
The starting value of the linear function, y = 4x + 2 is 2.
The starting value of the function on the graph is 4. At this point, x = 0.
Thus, the function on the graph has a higher starting point.
The statement that correctly compares the function shown on this graph with the function y= 4x+2 is:
B. The function shown on the graph has a smaller rate of change, but a higher starting point.
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what is the x-intercept of the graph of the equation 3x-4y=20
Answers
Answer:
(20/3,0) is your x-intercept
Step-by-step explanation:
To find x-intercept, let y = 0
[tex] \displaystyle{3x = 20}[/tex]
Solve for x, divide both sides by 3:
[tex] \displaystyle{ \dfrac{3x}{3} = \dfrac{20}{3}} \\ \\ \displaystyle{ x = \dfrac{20}{3}}[/tex]
Hence, the x-intercept is (20/3,0). We write in order pair since it's x-intercept and x = 20/3 at y = 0
Joanna polled her peers on their favorite color. The results were 3/4 said blue, 10% said orange, and 0.15 said purple. If Joanna polled 40 peers how many total peers said their favorite color was orange or blue?
Answers
Answer:
Orange = 4 peers
Blue = 30 peers
Step-by-step explanation:
Orange
Step 1: Find 10% of the total (40): Convert 10% to decimal form
Step 1: Divide 10 by 100 [tex]10\%\:=\frac{10}{100}[/tex][tex]=0.1[/tex]Step 2: Multiply 0.1 by 40
[tex]=0.1\cdot \:40[/tex]
[tex]=4[/tex]
4 total peers said their favorite color was orange
Blue
Step 1: Convert [tex]\frac{3}{4}[/tex] to percentage; [tex]\frac{3}{4} = 75\%[/tex]
Step 1: Divide the fraction by 100[tex]\frac{3}{4} \times 100[/tex][tex]= 75[/tex]Step 2: Find 75% of 40: Convert 10% to decimal form
Divide 10 by 100[tex]75\%\:=\frac{75}{100}[/tex][tex]=0.75[/tex]Step 3: Multiply 0.75 by 40
[tex]=0.75\cdot \:40[/tex]
[tex]=30[/tex]
30 total peers said their favorite color was blue
Purple
Step 1: Convert 0.15 to percentage
[tex]15\%[/tex]
Step 2: Find 15% of 40
[tex]\frac{x}{40}=\frac{15}{100}[/tex]
Step 3: Cross multiply; Multiply 0.15 by 40
[tex]=0.15\cdot \:40[/tex]
[tex]=6[/tex]
1. If Jose says that 75% of his class of 28 students
rides the bus every day, how many students ride
the bus?
a. 25
b. 15
C. 21
(d. 10
Answers
75% of 28
Convert the percent to a decimal
75/100=0.75
0.75(28)
21
answer: C
The sum of the digits of a two-digit number is 12. The number formed by reversing the digits is 54 more than the original number. What is the original number?
48
39
57
Answers
Answer:
39
Step-by-step explanation:
Which inequality statement describes the two numbers on a number line? "−13 and a number 18 units to the right of −13"
A) −13 < 5
B) −13 > 5
C) −13 > 18
D) −13 < 18
Answers
Answer:
A
Step-by-step explanation:
-13 + 18=5
-13 is less than 5
A kite is shaped like an isosceles triangle. To the nearest tenth what is the length of the spine?
Answers
Answer: 73.2
Step-by-step explanation:
78/2 is 39. Now, use the pythagorean theorem to find the hypoteuse (in this case the spine), which is about 73.2
is y= 4/5x -8 and y -= -5/4x = +3 parallel perpendicular or neither
Answers
Answer:
perpendicular
Step-by-step explanation:
perpendicular if the product of their slopes is equal to -1
Parallel lines have equal or identical slopes
Does anyone know?...
Answers
Answer:
NOPE
Step-by-step explanation:
A rectangle has length x and width x - 3. The area of
the rectangle is 10 square meters.
Complete the work to find the dimensions of the
rectangle
Х
x(x - 3) = 10
x? - 3x = 10
x2 - 3x - 10 = 10 - 10
10 m2
X-3
(x + 2)(x - 5) = 0
What are the width and length of the rectangle?
O The width is 1 meter and the length is 10 meters.
O The width is 10 meters and the length is 1 meter.
The width is 2 meters and the length is 5 meters.
The width is 5 meters and the length is 2 meters.
Answers
The equation for dimensions of the rectangle is x(x - 3) = 10 and the width is 2 meters and the length is 5 meters.
What is equation?In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation.
Here,
x(x-3)=10
x²-3x=10
x²-3x-10=0
x²-5x+2x-10=0
(x-5)(x+2)=0
x=-2,5
x=5 units
x-3=5-2
=2 units
The rectangle's dimensions are x(x - 3) = 10, with a width of 2 meters and a length of 5 meters.
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It’s for my other question
Answers
Answer:
That looks good
Step-by-step explanation: wait why is this here?
Order these numbers from least to greatest.
8.26, 8.1061, 8.209, 8.6
Answers
Answer:
8.1061
8.209
8.26
8.6
Step-by-step explanation:
A bag contains 18 red marbles. The ratio of red marbles to blue marbles is 6 to 9. Find the number of blue marbles in the bag.
Answers
Does the equation y=x/2 represent a proportional relationship?
Answers
Jeruto was born when her mother was twenty seven years old and her father thirty years old. After how many years will the mean age of jeruto and her parents be in twentysix years
Answers
Answer: 7 years
Step-by-step explanation:
Let the number of years be x. Therefore, their ages in x years will be:
Daughter = x
Mother = 27+x
Father = 30+x
Their mean age will then be:
[x + (27+x) + (30+x)]/3 = 26
(3x + 57) / 3 = 26
Cross multiply
3x + 57 = 26 × 3
3x + 57 = 78
3x = 78 - 57
3x = 21
x = 21/3
x = 7
Therefore, the answer will be 7 years
Check: Daughter = x = 7 years
Mother = 27+x= 27+7 = 34 years
Father = 30+x = 30 + 7 = 37 years
Mean= (7+34+37) / 3 = 78/3 = 26 years
What is the midpoint of f/x )=( x 2 )( x 4?
Answers
The midpoint of the x-intercepts of f(x) = (x - 2)(x - 4) is (3, 0).
The midpoint of a line segment is known as the midpoint in geometry. It is the centroid of the segment and of the ends, and it is equally distant from both of them. It cuts the section in half.
A compass and straightedge setup can be used to locate the midpoint of the line segment they determine given two points of interest. By initially building a lens out of circular arcs with equal radii centered at the two endpoints and joining the cusps of the lens, one can determine the midpoint of a line segment immersed in a plane. The midpoint of the segment is then the place where the line joining the cusps intersects the segment.
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Can you help me with this
Answers
3 -(-9) =12
6-(8) =-2
12/-2=
the slope = -6/1
Simplify the following polynomial, then evaluate for x = -2
2x2 - 4x + 3x2 + x - 7
Answers
Answer:
[tex]5x^2-3x-7,\,\,f(-2)=19[/tex]
Step-by-step explanation:
[tex]f(x)=2x^2-4x+3x^2+x-7\\f(x)=5x^2-3x-7\\f(-2)=5(-2)^2-3(-2)-7\\f(-2)=5(4)+6-7\\f(-2)=20-1\\f(-2)=19[/tex]
Beth is making a garden plot which measures 6 open parentheses square root of x plus 2 end root close parentheses units in length and open parentheses 5 square root of x plus 2 end root close parentheses units in width. What is the area of the garden?
Answers
The area of the garden whose length and width as given in the task content is; 30 (x + 2) square units.
What is the area of the garden plot whose length and width are as described?It follows from the task content that the expression which represents the area of the garden plot whose dimensions are as given.
Recall that Area, A = length × width.
Therefore, since length = 6 (√(x + 2)) units
The width = (5 √(x + 2) ) units
Hence, the area of the garden plot as required in the task content is; 6 (√(x + 2)) × ( 5 √(x + 2) )
= 30 (x + 2) square units
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What is the shape with 3 sides and 3 right angles?
Answers
There is no shape with exact 3 sides and 3 right angles.
The shape with three sides is a triangle. A triangle is a polygon with three edges and three vertices. It is a basic shape in geometry and can be classified into several types based on the length of its sides and the measure of its angles. Triangles can be classified as acute, right, or obtuse, depending on the measure of their angles.
A right triangle is a triangle with one right angle (90 degrees ). But there can not be a triangle with 2 or more right angle.
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What is the value of (3/10)3
Answers
Answer:
[tex]\frac{9}{10}[/tex]
Step-by-step explanation:
In this question, one is asked to multiply a fraction by a whole number, first model the question.
[tex]\frac{3}{10}(3)[/tex]
In a situation like this, one multiplies the whole number by the numerator (number) over the fraction.
[tex]\frac{3*3}{10}[/tex]
Simplify,
[tex]\frac{9}{10}[/tex]
A common error that people make is that they will multiply both the numerator and denominator by the whole number, this is the same as multiplying the answer by (1), thus it is incorrect.
Answer:
9/10
Step-by-step explanation:
took test
Kate spent 44 pounds in the holidays.
she spent three times as much on clothes as she did on food.
How much did she spend on food ?
Answers
Answer:
11 pounds
Step-by-step explanation:
The ratio of the amount of money Rachel spent on food to clothes is 1/3
She spent: 44 : (1 + 3) x 1 = 11 pounds
Answer:11
Step-by-step explanation:
11 times 3 equals 33(for the clothing)
so 11 is left
A blood bank needs 15 people to help with a blood drive. 20 people have volunteered. Find how many different groups of 15 can be formed from the 20 volunteers.
Answers
Answer:
15,504 different groups
Step-by-step explanation:
Answer: if they only have 20 patients then there can only be 1 group of 15 people! hope this helps
Step-by-step explanation:
(I’ll give brainiest) what should you do to solve the equation x-3=12
A) add 3 to both sides
B) subtract 3 from both sides
C) divide both sided by 3
D) multiply both sides by 3
(If you can, please explain how)
Answers
Answer:
its A
Step-by-step explanation:
Given a scale factor of 23
and the coordinates of an image after a dilation using (0, 0) as the center of dilation, determine the coordinates of the pre-image. Fill in the blanks for the missing x and y values.
pre-image image
A (0, 3) A' (0, )
B (-6 , ) B' (-4, 8)
C ( 9, 0) C' ( , 0)
Answers
Answer:
scale factor(k)=23
A(x,y)=A'(kx,ky)
Let's do by using this formula
C(9,0)=C'(kx,ky)(here x=9 and y=0)
C(9,0)=(23*9,23*0)
C(9,0)=(207,0)
A(0,3)=A'(kx,ky)(here x=0 and y=3)
A(0,3)=A'(23*0,23*3)
A(0,3)=A'(0,69)
Step-by-step explanation:
sorry i dont know how to do B no
John and Wesley both work for telephone companies installing internet connections into new homes, but they do not work for the same company. John's paycheck at the end of the month includes his base pay of $2,000 and his commission of $65. 25 for each installation he makes that month. Wesley is paid $380 plus a commission of $105. 75 for each installation he makes each month. In September of last year, they both made the same number of installations and they both earned the same amount of money
Answers
The number of installations in September were forty that lead to John and Wesley earning same amount of money.
Let the number of installations be x. The equation of be formed for each paycheck will be -
Total paycheck = base pay + number of installations × comission on each installation
The total paycheck and number of installations is same. So equating the equations by keeping x.
2000 + 65.25x = 380 + 105.75x
Rewriting the equation -
105.75x - 65.25x = 2000 - 380
Performing subtraction on each side of the equation
40.5x = 1620
x = 1620/40.5
Performing division on Right Hand Side of the equation
x = 40
There were 40 installations.
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Is angle 1 vertically opposite to angle 4?
Answers
Yes, angle 1 is vertically opposite to angle 4 because they are formed due to the intersection of straight lines.
When two lines intersect each other, then the opposite angles formed are called vertical angles or vertically opposite angles. A pair of vertically opposite angles are equal to each other. Also, a vertically opposite angle and its adjacent angle are supplementary angles, i.e., they add up to 180 degrees.
For example, if two lines intersect and make an angle, say X=55°, then its opposite angle is also equal to 55°. And the adjacent angle to angle X will be equal to 180 – 55 = 125°
In the given figure, ∠AOC and ∠BOD form a pair of vertically opposite angles and similarly ∠AOD and ∠BOC form such a pair. Therefore,
∠AOC = ∠BOD
∠AOD = ∠BOC
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