Answers
Given
base = 10.6 yd
height = 6.4 yd - 1.4 yd = 5 yd
Solve for the area of the parallelogram first
[tex]\begin{gathered} A=bh \\ A=(10.6\text{ yd})(5\text{ yd}) \\ A=53\text{ yd}^2 \end{gathered}[/tex]Now that we have solved for the area, divide by 4 square yards, to determine the number of cans of sealant needed.
[tex]53\div4=13.25[/tex]The result is 13.25 cans, therefore the city will be needing 14 cans in total for the treatment.
Related Questions
In the picture, point C is a point of tangency.158AEDA =DE=
Answers
we have that
If point C is a point of tangency
then
triangle ACD is a right triangle
so
Applying Pythagorean Theorem
DA^2=AC^2+CD^2
we have
AC=8 units
CD=15 units
substitute
DA^2=8^2+15^2
DA^2=64+225
DA^2=289
DA=17 unitsPart 2
Find DE
we have that
DA=DE+EA ------> by addition postulate theorem
we have
DA=17 units
EA=AC=8 units
substitute
17=8+DE
DE=9 unitssolve 7c+10=17c A.) c=1B.) c=-1C.) C= -[tex] \frac{5}{12} [/tex]D.) c= -[tex] \frac{5}{12} [/tex]
Answers
A) c = 1
Explanations:The given equation is:
7c + 10 = 17c
Collect like terms:
17c - 7c = 10
10c = 10
Divide both sides by 10:
10c / 10 = 10 / 10
c = 1
below are the angle measurements inside when it's of a trapezoid cell in a table with the correct side lengths and angle measurement the figure was Delight
Answers
we know that
The dilation is a no-rigid transformation that produce similar figures
That means, that the correspondind sides are proportional and the corresponding angles are congruent
The length side of the image is equal to the scale factor multiplied by the length of the preimage
the scale factor is 4 (given)
so
Side B=17 in ---------> image side B'=17(4)=68 in
Side C =18 in ---------> Side C'=18(4)=72 in
Side D=23 in -----------> Side D'=23(4)=92 in
the angles are congruent
Angle B=55 degrees -----------> Angle B'=55 degrees
Angle C=120 degrees ---------> Angle C'=120 degrees
Angle D=140 degrees -------> Angle D'=140 degrees
Using the figure, calculate the total surface area of the pyramid.
Answers
Given:
There is a figure given in the question
Required:
We need to find the surface area of given figure of pyramid
Explanation:
First we need to find the side of base square
use tan function
[tex]\begin{gathered} \tan30=\frac{SM}{DM} \\ \\ \frac{1}{\sqrt{3}}=\frac{6}{DM} \\ \\ DM=6\sqrt{3} \end{gathered}[/tex]now to find the side of base square is
[tex]DC=2DM=12\sqrt{3}[/tex]The surface area of pyramid is
[tex]TSA=\frac{1}{2}Pl+B[/tex]where P is base of perimeter
l is the slant height which is 6 cm
B is the base area
now find P
[tex]P=4*12\sqrt{3}=48\sqrt{3}\text{ cm}[/tex]now find B
[tex]B=12\sqrt{3}*12\sqrt{3}=432\text{ cm}^2[/tex]now substitute all the values in the formula of Total surface area of pyramid
[tex]TSA=\frac{1}{2}Pl+B=\frac{1}{2}*48\sqrt{3}*6+432[/tex]simplify as:
[tex]\begin{gathered} =249.4+432 \\ =681.4\text{ cm}^2 \end{gathered}[/tex]Final answer:
Total surface area of given figure is 681.4 square cm
use the quadratic model y= -4x^2 + 8x + 8
Answers
Hello!
First of all, let's rewrite the quadratic equation:
[tex]y=-4x^2+8x+8[/tex]To solve it, let's replace where we have x by 100, look:
[tex]\begin{gathered} y=-4\cdot(100)^2+8\cdot(100)+8 \\ y=-4\cdot10,000+800+8 \\ y=-40,000+808 \\ \boxed{y=-39,192} \end{gathered}[/tex]Answer:y= -39,192
The figure shows a child estimating the height of a tree by looking at the topof the tree with a mirror. Assuming that both the child and the tree form rightangles with the ground, which of the following proportions can be used toestimate the height of the tree?h ft4 ftk5 ft12 ftisDC124
Answers
To get the height of the tree, we will apply the principle of similar triangles
For similar triangles, we can take ratios of similar sides of the two triangles
The sketch is given below
We can now compare similar sides as follow
[tex]\frac{h}{4}=\frac{12}{5}[/tex]Thus, the answer is option D
Simplify the rational expression. You may want to refer to Example 12 of this8x - 9/9 - 8x
Answers
ANSWER
[tex]-1[/tex]EXPLANATION
We want to simplify the rational expression given:
[tex]\frac{8x-9}{9-8x}[/tex]To do this, rewrite the denominator and simplify:
[tex]a-b=-(b-a)[/tex]This implies that:
[tex]\begin{gathered} \frac{8x-9}{-(8x-9)} \\ \Rightarrow\frac{1}{-1} \\ \Rightarrow-1 \end{gathered}[/tex]That is the answer.
Hello! I need some assistance with this homework question I have. The image is posted below Q2
Answers
Given the following question:
[tex](x-1)(3x+8)=0[/tex][tex]\begin{gathered} \mleft(x-1\mright)\mleft(3x+8\mright)=0 \\ (x-1)=0 \\ -1+1=0 \\ 0+1=1 \\ x=1 \\ \\ (3x+8)=0_{} \\ 8-8=0 \\ 0-8=-8 \\ 3x=-8 \\ 3x\div3=x \\ -8\div3=-\frac{8}{3} \\ x=-\frac{8}{3} \end{gathered}[/tex]Your answers are x = 1, and x = -8/3.
Which expression represents the average of three test scores? O X+y+Z O 3(x+y+z) o **** X+y+Z 3 om ΧΟΣ 3
Answers
We need to find the expression that represents the average of three test scores
At first : the average = the sum of the data over the number of the data
We have 3 test scores : x , y and z
The sum of the scores = x + y + z
The number of the scores = 3
so, the average will be :
[tex]\frac{x+y+z}{3}[/tex]So, the answer is : ( x + y+ z )/3
What are your thoughts? Is mathematics important in getting a good paid career?
Answers
Based on the statistics shown, we can see that 8 out of the 9 of the best-paying college majors are engineers, and in engineering, there is a lot of math involved, which means that math is important in getting a good-paid career.
Answer: mathematics is important in getting a good-paid career.
The point P = (x, — 5/7) lies on the unit circle shown below. What is the value of xin simplest form?
Answers
The point (x,y) on unit circle is
[tex](x,y)=(\cos \theta,\sin \theta)[/tex]We know y is "sin theta" and sin is "opposite" over "hypotenuse". Thus, we can draw a triangle
We see that "5" is opposite of theta and 7 is the hypotenuse.
To get x, we use the pythagorean theorem:
[tex]\begin{gathered} \text{leg}^2+\text{AnotherLeg}^2=\text{Hypotenuse}^2 \\ x^2+5^2=7^2^{} \\ x^2+25=49 \\ x^2=49-25 \\ x^2=24 \\ x=\sqrt[]{24} \\ x=2\sqrt[]{6} \end{gathered}[/tex]From unit circle formula, we know value of x is cos. Thus, we take the cosine ratio, adjacent over hypotenuse.
Adjacent is 2 Sqrt(6) and Hypotenuse is 7 Thus,
[tex]x=\frac{2\sqrt[]{6}}{7}[/tex]
1,000 raffle tickets were sold. There will be one first prize of $1,000 and one second prize of $500. The rest of the tickets will win nothing. Use the chart to calculate the expected value.
Answers
The value of the Variance is $1,247.75 and the value of Standard Deviation is $35.32.
What is meant by standard deviation ?The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.
The standard deviation reveals the degree of data skewedness. It gauges how far away from the mean each observed value is. Approximately 95% of values in any distribution will be within two standard deviations of the mean.
Karl Pearson is credited with giving SD the name "standard deviation." I wouldn't guess anything more than that he wanted to suggest it as a benchmark. If anything, standardization references either stand alone or make an indirect reference to SD.
Therefore the value of variance is $1,247.75 and the value of Standard Deviation is $35.32.
The complete question is :1,000 raffle tickets were sold. There will be one first prize of $1,000 and one second prize of $500. The rest of the tickets will win nothing. Use the following table to calculate the variance and standard deviation. μ = $1.50.
To learn more about standard deviation refer to:
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The y-intercept of this regression line is 11. What does this tell you about the relationship between the amount of fertilizer and the height of the seedlings?
Answers
The y intercept in a regression line is the point where the line of best fit meets the y axis. It is the expected mean value of y when x=0.
In the given graph, x cooridnate represents the amount of fertilisers and the y coordinate represents the height of the seedlings.
Therefore, the y intercept tells the mean value of the height of a seedling when no fertiliser is used. Hence, we cay say that the mean value of the height of a seedling when no fertiliser is used is 11 cm.
Three people are sitting on a bus. Morgan is seated 24 feet directly behind Jibril and 7 feet directly left of Teyla. Jibril is __ feet from Teyla.
Answers
Answer:
Jibril is 25 feet from Teyla.
Step by step explanation:
Then we solve it by the Pythagorean theorem.
[tex]c^2=a^2+b^2[/tex]a= 24
b= 7
c= x
[tex]x^2=24^2+7^2[/tex][tex]x\text{ =}\sqrt[]{24^2+7^2}\text{ = }\sqrt[]{625}\text{ =25}[/tex]it has no reflectional symmebry it has no rotational symmetry it has reflectional symmetry with six lines of symmetry it has rotational symmetry with an angle of rotation of 30°
Answers
Lets draw a picture:
Then, we can see that our figure has a rotational symmetry with an angle of rotation of 30 degrees because if we rotate the figure 30 degrees the figure coincides with itself.
The product of 2x-3 and x+4 can be expressed asA) 2x^2+5x-12B) 3x+1C) 2x^2+x-12D) 2x^2-12
Answers
The given product is
[tex](2x-3)(x+4)[/tex]We have to use the distributive property
[tex]2x\cdot x+2x\cdot4-3\cdot x-3\cdot4=2x^2+8x-3x-12[/tex]Then, we reduce like terms
[tex]2x^2+5x-12[/tex]Hence, the answer is A.what is the value of the expression 3.0 x 10 to the power of 6 then 1.5 x 10 to the power of 4 the answers are 2.0 x 10 to the power of 2 2.0 x 10 to the power of 1 1.5 x 10 to the power of 2 1.5 x 10 to the power of 10
Answers
We have to evaluate "3.0 x 10 to the power of 6 divided by 1.5 x 10 to the power of 4"
Then we have:
[tex]\frac{3.0\cdot10^6}{1.5\cdot10^4}=\frac{3.0}{1.5}\cdot10^{(6-4)}=2.0\cdot10^2[/tex]The answer is 2.0 * 10^2.
Necesito ayuda en una tarea de matemáticas pero es muy difícil si me pueden ayudar se lo agradezco. Es muy larga lo que dice es the area of the triangle above will be equal one half of a rectangle that is 5 units long _ units wide.( input only while numbers, such as 8.)
Answers
step 1
Find out the area of the triangle
[tex]A=\frac{1}{2}*b*h[/tex]where
b=5 units
h=4 units
substitute
[tex]\begin{gathered} A=\frac{1}{2}*5*4 \\ A=10\text{ units}^2 \end{gathered}[/tex]step 2
The formula to calculate the area of a rectangle is given by
[tex]A=L*W[/tex]where
Remember that the area of the triangle is on half of the rectangle
area of the triangle is 10 square units
that means
The area of the rectangle is 20 square units
so
we have
A=20 unit2
L=5 units
W=?
substitute in the formula
20=(5)*(W)
solve for w
w=20/5
w=4 unitsAn investment is initially worth $10,000. Write a formula for the value of this investment for each situation described below.
Answers
Using the compound interest formula:
The value increases by 7% every year:
[tex]V(t)=10000(1+0.07)^t[/tex]The value increases by 7% every 3 years:
[tex]V(t)=10000(1+0.07)^{\frac{t}{3}}[/tex]The value increases by 7% every six months:
[tex]V(t)=10000(1+\frac{0.07}{2})^{2t}[/tex]Let O be an angle in quadrant II such that csc =4"Find the exact values of tan 0 and cos 0.
Answers
The tangent function is given by:
[tex]\tan (\theta)=\frac{opposite}{adjacent}=-\frac{4}{\sqrt[]{65}}[/tex]And the cosine function is:
[tex]\cos (\theta)=\frac{adjacent}{hypotenuse}=-\frac{\sqrt[]{65}}{9}[/tex]In the problem below, AABC AADC. Solve for x. Then, use that value to find the length of BC.
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If the triangle ABC is congruent to triangle ADC, then the sides BC and DC are corresponding sides. So, we can formulate the following equation:
12x - 15 = 3x + 30
12x - 15 - 30 = 3x (Subtracting 30 from both sides of the equation)
-15-30 = 3x - 12x (Subtracting 12x from both sides of the equation)
-45 = -9x (Adding like terms)
-45/-9 = x (Dividing by -9 on both sides of the equation)
5 = x (Dividing)
So, x = 5
Replacing x=5 in the equation of side BC, we have:
BC = 12*(5) - 15
BC = 60 - 15 (Multiplying)
BC = 45 (Subtracting)
BC= 45.
I put a photo. 4 and 2 are the sides
Answers
The area of a triangle is given by the formula
[tex]A=\frac{1}{2}bh[/tex]Where
b is the length of the base
h is the height of he triangle
Looking at the figure, we can see:
[tex]\begin{gathered} b=4 \\ h=2 \end{gathered}[/tex]Substituting this information into the formula, we have:
[tex]\begin{gathered} A=\frac{1}{2}bh \\ A=\frac{1}{2}(4)(2) \\ A=4 \end{gathered}[/tex]AnswerArea = 4 sq. units.
* 1. If [x] = 8, then what are the values of x?
Answers
Answer:
x = 8, x = -8
Explanation:
The absolute value function gives the magnitude of a number, i.e its distance from zero
|x| = 8 tells us that the number x is 8 units away from zero on the number line. Now there are two numbers that are 8 units away from zero. One is x = 8 and the other is x = -8.
Use mental math to find the equations that are true Select all that apply.
A. 400 ÷ 80 = 50
B. 4,000 ÷ 80 = 5
C. 400÷8= 50
D. 40,000 800 = 50
E. 40,000 ÷ 80 = 500
3 correct answers
Answers
True equations are C. 400 ÷ 8= 50, D. 40,000 ÷ 800 = 50, and E. 40,000 ÷ 80 = 500. A division or divisions into which a whole can or is divided A method of division is a method of dividing something.
What is division?Division is one of the four fundamental arithmetic operations, or how numbers are combined to create new numbers. Multiplication, addition, and subtraction are the other operations.In mathematics, division is the process of dividing a sum into equal parts. For example, we could divide a group of 20 people into four groups of five, five groups of four, and so on.The divisional process or act; the divisional state b: the act, procedure, or occurrence of dispersing among a number of people: distribution. A division or divisions into which a whole can or is divided A method of division is a method of dividing something. The division methods are classified into three types based on their difficulty level.These are the grouping method, also known as division by repeated subtraction, the short division method, also known as the bus stop method, and the long division method.To learn more about division refer to:
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Im an older lady and im not the best at word problems please explain
Answers
EXPLANATION
We can see in the Venn diagram the following facts:
As the number of students that just visited Spain is 5 because the statement says that 16 visited to Spain and we have in the Venn Diagram 5+4+2+?=16 visitors of Spain, the unknown value is equal to 5.
As the total number of students is equal to 37 and the number of students that have visited some of the three countries is equal to the sum of all the given numbers:
9+ 5 + 4 + 4 + 5 + 2 + 5 = 34 students
In conclusion, the number of students that have not been to Germany, Spain or France is 3
3АуWhat is the domain of the displayed function?*(1 Point)*(1-5, 5, -1, -5, 2, 1, 2, 5, 3, 1}}1-5. - 1, 2, 3){1, 4, 7, 8)15. 1. - 5)
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Note that the domain of a relation is the set of all the values of the indeped
Hello , just need an explanation with my son’s hw .
Answers
We have the next fractions so we will simplify them
[tex]\frac{86}{100}=\frac{\frac{86}{2}}{\frac{100}{2}}=\frac{43}{50}[/tex][tex]\frac{90}{100}=\frac{9}{10}[/tex][tex]\frac{94}{100}=\frac{47}{50}[/tex][tex]\frac{101}{100}[/tex]As we can see the point is represented by
[tex]\frac{94}{100}[/tex]
120 100 temperature in °F 60 20 0 10 30 40 50 60 70 80 latitude in degrees North Add points that represent the predicted temperatures for each city on your scatter plot from the original cities. If you do not have a copy of your work from yesterday, you may choose to use the scatterplot above. Copy the data over or print a copy of the scatterplot here Scatterplot.pdf Upload a photo of your work in the space below. Upload Choose a File
Answers
Scatterplot is a simple graph that follows x and y coordinates.
Once you have the name of the cities, you can look up their latitude either using a printed map or online map, and that will be your x coordinate.
For your y coordinate, that will be the predicted temperature.
For example, the latitude of the Detroit is 42 degrees North (x coordinate) and has a temperature of 52 degree Fahrenheit (y coordinate), then we can have this plotted like this: (disregard the yellow line, it is only there as basis)
Another example: This is for Albuquerque. The latitude is 35.2 (x coordinate) and it's predicted temperature today is 73 degree Fahrenheit (y coordinate).
The red dot on the image above, that is where we will plot Albuquerque since it's latitude is 35.2 and its temperature is 73, as shown by the yellow lines. (Do not draw the yellow lines. It is only there for basis.)
You do the same with the rest of the cities using its corresponding latitude and predicted temperature today.
Express each function as a function of an acute angleA) tan 226B) sin(-46.6)
Answers
Explanation
Part 1: tan 226
Angle 226 lies in the third quadrant. This can be seen below.
In the above, the principal angle is 226, therefore, the acute angle becomes,
[tex]226-180=46[/tex]Since tan is positive in the third quadrant, therefore
Answer: tan 46
Part B: Sin-46.6
In trigonomtery,
[tex]sin(-a)=-sina[/tex]Therefore;
[tex]sin(-46.6)=-sin46.6[/tex]Answer: -sin 46.6
Can you explain my work
Answers
For both figures, we need to count the number of squares and possible triangles in them.
Figure A:
In figure A, we have 9 squares and one triangle. The area of a triangle is:
[tex]A=\frac{base\cdot Altitude}{2}=\frac{1\cdot3}{2}=\frac{3}{2}=1.5[/tex]So, the area of figure A is 9 squares + 1.5 squares = 10.5 squares units.
Figure B:
We have 14 squares. We also have 4 small triangles that are equivalent to 2 squares. The final area is the triangle (applying the same formula than before):
[tex]A=\frac{b\cdot Altitude}{2}=\frac{1\cdot5}{2}=\frac{5}{2}=2.5[/tex]Then, we have, for figure B: 14 squares + 2 squares + 2.5 squares = 18.5 square units.
Therefore, Figure A is 10.5 square units, and Figure B is 18.5 square units.