Are the two given triangles similar? Show your work to support your answer.
Helpppp please
Answer:
no
Step-by-step explanation:
1 is obtuse one is acute
The perimeter of a rectangle is 50ft. If the length is one more than twice the width,
what is the length, width and area?
Answer: See explanation
Step-by-step explanation:
Let the width of the rectangle be x
Since the length is one more than twice the width. Therefore, the length will be: = 2x + 1
Perimeter of a rectangle = 2(length + breadth)
50 = 2(2x + 1 + x)
50 = 2(3x + 1)
50 = 6x + 2
6x = 50 - 2
6x = 48
x = 48/6
x= 8
Width = 8ft
Length = 2x + 1 = 2(8) + 1 = 16 + 1 = 17ft
Area = Length × Width = 17 × 8 = 136ft^2
If a class of 30 students have to split the boys and girls in hafe and 10% are girls, how meany girls are in the class
Answer:
10 girls
Step-by-step explanation:
Elena is binding a small booklet with a spine that is 21/4 inches long. She uses staples that are 7/16-inch long. If she puts the staples end-to-end through the booklet, without gaps or overlaps between them, how many staples would it take to bind the booklet?
Answer:
12 staples
Step-by-step explanation:
So the first thing we have to do is find the G.C.D (Greatest Common Denominator) between 21/4 and 7/16 which of course is 16 so your new fractions would be 84/16 and 7/16.
Now we have to divide both numbers I just used a fraction calculator for this but basically you multiply 84/16 by the reciprocal of 7/16 which is 16/7 and simplify which equals 12.
So it would take 12 staples to bind the booklet
Please help I’ll give you guys brainiest!
Thank youuuuuuu :))
Answer:
look at graph
A store has x number of shirts. Each shirt was sold for $16, but the last dozen was sold on sale for $14 each. When all shirts were sold, the store gained $616. Find the number of shirts sold at the regular price.
Answer:
28 shirts
Step-by-step explanation:
Let's see what we are given.
there are x amount of shirts ($616 total)
there are 12 in a dozen
the regular shirts are $16
the last 12 shirts are $14
Lets make an equation.
616= 14(12) + 16x
616=168+16x
448=16x
x=28
(Sorry if this explanation is bad)
If f(x) = 7(x - 1) + 8, find the value of f(1)
answer fast.
Answer:
7x+1
Step-by-step explanation:
Use the distributive property to multiply 7 by x−1.
7x−7+8
Add −7 and 8 to get 1.
7x+1
What is the measure of angle 1
Answer: 100
Step-by-step explanation:
It is an alternate interior angle.
Find the length of the rectangle if the perimeter is 244 yards the length is 18 less than three times the width?
Answer:
The Length of rectangle is 87 yards.
Step-by-step explanation:
Let width = w
Length = 3w-18
Perimeter of rectangle = 244 yards
We need to find length of rectangle.
First we need to find value of w
The formula used will be: [tex]Perimeter=2(length+width)[/tex]
Putting values and finding w
[tex]Perimeter=2(length+width)\\244=2(3w-18+w)\\244=2(4w-18)\\244=8w-36\\244+36=8w\\8w=280\\w=\frac{280}{8}\\w=35[/tex]
So, w= 35
The width of rectangle w = 35 yards
The length of rectangle l = 3w-18 = 3(35)-18 = 105-18 = 87 yards.
So, the Length of rectangle is 87 yards.
There are 4 squares and 10 circles. What is the simplest ratio of squares to circles ? Pleaseeee answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
Answer:
2:5
Step-by-step explanation:
Simplify
Can someone please help me with solving this maths question?
Answer:
CD = 7
Step-by-step explanation:
Given that the triangles are congruent, then corresponding sides are congruent, that is
CD = AB , substitute values
3y + 1 = 15 - 4y ( add 4y to both sides )
7y + 1 = 15 ( subtract 1 from both sides )
7y = 14 ( divide both sides by 7 )
y = 2
Thus
CD = 3y + 1 = 3(2) + 1 = 6 + 1 = 7
When you’re multiplying or dividing same sign numbers, what will your product or quotient be?
When you multiply two integers with the same signs, the result is always positive. Just multiply the absolute values and make the answer positive. When you multiply two integers with different signs, the result is always negative.
What is the area of rectangle CDEF?
Area= ...square units
Step-by-step explanation:
I think it's 48 square units
Emma throws an object upward from a hill that is 64 feet high. The object has an initial velocity of 48 feet per second. The function y = -16x2 + 48x + 64 represents the height of the object, y, in terms of the time elapsed after the object is thrown, x.
Answer:
100feet
Step-by-step explanation:
Given the height of the object modelled by the equation
y = -16x^2 + 48x + 64
We can find the maximum height reached by the object since we are not told what to find.
The velocity of the object at its max height is zero.
dy/x = 0
dy/dx = -32x + 48
0 = -32x + 48
32x = 48
x = 48/32
x = 1.5secs
get the max height by substituting x = 1.5 into the given equation:
y = -16x^2 + 48x + 64
y = -16(1.5)^2 + 48(1.5)+ 64
y = -36+72+64
y = 100 feet
Hence the maximum height reached by the object is 100feet
What’s the slope of the line that passes through (-9, -4) and (6, 15).
is this proportional relationship? please help!!
Answer:
yes, the slope is the same throughout the table
Step-by-step explanation:
Answer:
Yes, the graph shown is a proportional relationship.
Step-by-step explanation:
If you divide the distance (6) by the time (1) you get the same thing (6). Repeat for all the terms in the graphs. Since 6/1 is 6, 12/2 is 6, 18/3 is 6 and 24/4 is 6, The relationship is proportional.
The distribution of height of adult american women is approximately normal with a mean of 65.5 inches and a standard deviation of 2.5 inches what percentage of women are taller than 70.5 inches?
Answer:
2.275%
Step-by-step explanation:
We start by calculating the z-score
Mathematically;
z-score = (x-mean)SD
here, x = 70.5
mean = 65.5
SD = 2.5
Substituting these values;
z = (70.5-65.5)/2.5
= 5/2.5 = 2
So we want to calculate the probability that;
P( z> 2)
We check the standard normal distribution table for this
That will be
0.02275
In percentage, this is 2.275 %
Which system of inequalities describes the graph?
Answer:
It Would be C (the third one)
Step-by-step explanation:
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