Answer:
Each diagonal should measure 34 feet to ensure that the sides form 90°
Step-by-step explanation:
The relation between the diagonal of the rectangle and its length and width is D = [tex]\sqrt{L^{2}+W^{2}}[/tex] ⇒ Pythagoras Theorem
∵ A builder is building a rectangular deck with dimensions of 16 feet
by 30 feet
∴ L = 16 feet
∴ W = 30 feet
→ By using the Pythagoras Theorem above to find its diagonal
∵ D = [tex]\sqrt{(16)^{2}+(30)^{2}}[/tex]
∴ D = [tex]\sqrt{256+900}[/tex]
∴ D = [tex]\sqrt{1156}[/tex]
∴ D = 34 feet
→ The diagonals of the rectangle are equal
∴ The length of each diagonal of the rectangle = 34 feet
Each diagonal should measure 34 feet to ensure that the sides form 90°
Solve for x, 17/4x-1/12=6x
Answer:
x= −1/21
Step-by-step explanation:
Yesterday, the temperature at noon was 11.4°F. By midnight, the temperature had decreased by 15.7 degrees. What was the temperature at midnight? *
Answer:
-4.3ºF
Step-by-step explanation:
Since the temperature decreased, you subract 15.7ºF.
11.4ºF-15.7ºF=-4.3ºFAnswer:
The temperature at midnight was:
-4.3°F
Step-by-step explanation:
11.4 - 15.7 = -4.3
Is 4 a solution to the compound inequality “x > 0 AND x < 7”
Answer:
Yes
Step-by-step explanation:
4 is greater than 0, and 4 is less than 7
Answer:
yes
Step-by-step explanation:
x is greater than 0 and also less than 7 in this case.
(hi again furydrill! i just answered one of your questions a minute ago!)
Find the value of k, if y=3.
2y+k=6
Answer:
k=1
If y=3
2(3)+k=6
5+k=6
-5 -5
k=6-5
k=1
Now to check
2(3)+1=6
5+1=6
6=6
6=6 is a correct statement! which means k=1.
Have a beautiful day! v(⌒o⌒)v♪
Help me pls thank you!!
Students in the Scott School District spent two weeks collecting a total of 5,853 books to donate to local hospitals. The first week, the students collected 2,054 books. About how many books did the students collect for the hospitals the second week? Choose the better estimate.
Answer:
3799 books
Step-by-step explanation:
We have the total number of books collected as 5,853 books
In the first week, a total of 2,054 books were collected.
If the collection of books went on for two weeks;
Hence in the second week, a total of (5,853 - 2,054) were collected.
Therefore, number of books collected in the second week = 3799 books
Solve for g: C = 1/2gk
Answer:
G = [tex]\frac{C(2)}{k}[/tex]
Step-by-step explanation:
C = 1/2gk
First you want to multiple both sides by 2 to get rid of that fraction and you get
C (2) = gk then you divide both sides by k to isolate the g and your left with
G= [tex]\frac{C(2)}{k}[/tex]
Hope this helps
ILL MARK U BRAINLIEST!!
Answer:
a. S
b. M
c. S
d. M
The constants a, b, and c are positive. Solve the inequality for x.
ax-b is less than c
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]ax - b < c[/tex]
Add sides b
[tex]ax - b + b < c + b[/tex]
Simplification
[tex]ax < b + c[/tex]
Divide sides by a
[tex] \frac{a}{a} x < \frac{b + c}{a} \\ [/tex]
[tex]x < \frac{b + c}{a} \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
lg(5x+10)+2lg3=1+lg(4x+12)
need them fast with steps
Answer:
x=6
Step-by-step explanation:
log(5x+10)-log(4x+12)=1-2log(3)
log(5x+10/4x+12)=1-2log(3)
log(5x+10/4x+12)=log(10)+log(3^-2)
log(5x+10/4x+12)=log(10×3^-2)
log(5x+10/4x+12)=log(10×1/9)
log(5x+10/4x+12)=log(10/9)
5x+10/4x+12=10/9
9(5x+10)=(4x+12)10
45x+90=40x+120
5x=30
x=6
if you like my answer. Please mark me as brainliest
Relflect the shape in the mirror line
Answer:
its hard to do this without a graph to draw on for you but see explanation
Step-by-step explanation:
from each point count how many units it is from the mirror line and then count that many in the opposite direction. for example, the top left point is 3 away from the mirror line from the left so count 3 units to the right of the mirror line and that is where that point will be.
URGENT BRAINLIEST DUE IN 5 MINUTES PART 1 Clare estimates that her brother is 4 feet tall. When they get measured at the doctor's office, her brother's height is 4 feet, 2 inches.
Which measurement should be considered the actual height?
Answer:
4 feet and 2 inches
Step-by-step explanation:
The height that was measured by the doctor should be considered the actual height because it is the most accurate. It is an actual measurement and not an estimate.
Consider 8x2 - 48x = -104.
Answer:
2.5
Step-by-step explanation:
plz mark brainliest
Answer:
a=1: x2 + -6 x=-13
Step-by-step explanation:
Complete the square:
x2 – 6x + 9 =–13 + 9
Factor the trinomial and simplify:
(x + -3 )²= -4
Use the square root property of equality to solve
(x – 3)2 = –4.
The solutions are
3 ± 2i
16+x/13=18 What Is the Steps
Answer:
x=26
Step-by-step explanation:
Simplify both sides of the equation.
16+
x
13
=18
16+
1
13
x=18
1
13
x+16=18
Step 2: Subtract 16 from both sides.
1
13
x+16−16=18−16
1
13
x=2
Step 3: Multiply both sides by 13.
13*(
1
13
x)=(13)*(2)
x=26
Find h(3)
please help me
Answer:
h(3) = 2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = 3x - 2
g(x) = -x² + 2x
h(x) = |5x - 17|
h(3) is x = 3 for h(x)
Step 2: Evaluate
Substitute: h(3) = |5(3) - 17|Multiply: h(3) = |15 - 17|Subtract: h(3) = |-2|Evaluate: h(3) = 2Which of the following is a quadratic function?
A quadratic function is written as ax^2 + bx + c
Where the first term is raised to the 2nd power and the second term includes the x variable.
The answer would be number 2
If someone can answer this they are a genius! You will receive 20 points and please don't answer it if you don't know it. Thank you very much, good luck!
Answer:
step by step its adds to 3
Step-by-step explanation:
The speed limit on a rural road in Europe is 90 km / hr . Yvonne is driving 35 miles How long will it take her if she drives at the speed limit ? How long will it take Yvonne to drive 35 miles if she drives at the speed limit ?
Which of the following equations is equivalent to 1.43p + 2.2 = -4.001?
A. 143p + 22 = -4001
B. 143p + 220 = -4001
C. 1430p + 2200 = -4001
D. 143p + 220 = -4001
We can say that equation (C) [1430p + 2200 = -4001] is equivalent to the given equation [1.43p + 2.2 = -4.001].
What do we mean by equations?The equal sign joins two expressions to create a mathematical formula called an equation. An equation is a claim that demonstrates the equality of two mathematical expressions, according to algebra. For instance, the equation 3x + 5 = 14 is made up of the two equations 3x + 5 and 14, which are separated by the equal sign.So, the equivalent expression is:
Equation is: 1.43p + 2.2 = -4.001Let us take the number with the most numbers after decimals, that is -4.001.
Now, if we -4.001 × 1000, then we obtain:
-4.001 × 1000 = -4001This means we will multiply all terms with 1000 as follows:
1000(1.43p + 2.2 = -4.001)1430p + 2200 = -4001Therefore, we can say that equation (C) [1430p + 2200 = -4001] is equivalent to the given equation [1.43p + 2.2 = -4.001].
Know more about equations here:
https://brainly.com/question/28937794
#SPJ2
Find the value of x (Round to the nearest tenth)
Please help also please explain
Step-by-step explanation:
By AA, the two triangles in the figure are similar.
therefore, 10/15 = x/18
180 = 15x
x = 12
Topic: congruence and similarity
If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!
NEED HELP ASAP PLEASE
Answer:
The image points are given as;
I' ( -3,0 )
J'( 0,3 )
K'( 2,2)
L'(1,-1 )
Step-by-step explanation:
The object points has coordinates at;
I (5,0)
J(2,3)
K(0,2)
L(1,-1 )
The object points are reflected across line x= 1 to get image of objects points at ;
I' ( -3,0 )
J'( 0,3 )
K'( 2,2)
L'(1,-1 )
Attached is the graph for the object points and image points after reflection across x= 1
Which statement about -10.5°C and -6°C is true?
0 -10.5°C< -6°C can be used to express the fact that -10.5°C is colder than -6°C.
0 -10.5°C -6°C can be used to express the fact that -10.5°C is warmer than -6°C.
0-10.5°C > -6°C can be used to express the fact that -10.5°C is colder than -6°C.
O -10.5°C > -6°C can be used to express the fact that -10.5°C is warmer than -6°C.
Answer:
In my view 1st answer is correct..
Which inequality represents the range of the relation graphed below?
Answer: I think it’s d
Step-by-step explanation:
what is 2+6
alia akkes
Answer:
8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
6+217y-5x+8=9 in standard form?
Answer:
-5X + 17Y -1 A = -5X B = 17Y. C = -1
Step-by-step explanation:
follow me say a thanks mark me branliest
The equation of a line 17y - 5x + 8 = 9 in standard form
is - 5x + 17y - 1 = 0.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
Given, 17y - 5x + 8 = 9 we have to convert in standard form Ax + By + c = 0.
∴ 17y - 5x + 8 = 9.
- 5x + 17y - 1 = 0.
So, A = - 5, B = 17 and, c = - 1.
learn more about lines here :
https://brainly.com/question/17188072
#SPJ2
Use the table to find the residual points. A 4-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled given with entries negative 0.7, 2.3, 4.1, 7.2, 8. The third column is labeled predicted value with entries negative 0.28, 1.95, 4.18, 6.41, 8.64. The fourth column is labeled residual value with all entries blank. Which residual plot is the correct one for the data? A graph shows the horizontal axis numbered negative 1 to positive 7 and the vertical axis numbered negative 1.5 to positive 1.5. Points are scattered all over the graph. A graph shows the horizontal axis numbered negative 1 to positive 7 and the vertical axis numbered negative 1.5 to positive 1.5. Points are scattered all over the graph. A graph shows the horizontal axis numbered negative 1 to positive 7 and the vertical axis numbered negative 1.5 to positive 1.5. Points are scattered all over the graph. A graph shows the horizontal axis numbered negative 1 to positive 7 and the vertical axis numbered negative 1.5 to positive 1.5. Points are scattered all over the graph.
Answer:
B
Step-by-step explanation:
residual is the given - predicted
residual 1: -0.42
residual 2: 0.35
so on and so forth
B matches up with the first two coordinates
The residuals are 0.42, 0.35, -0.08, 0.79, and -0.65 because residuals are the difference between the actual and predicted.
What is the line of best fit?A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
The residual = actual—predicted
We have given:
X Given Predicted Residual value
1 0.7 0.28 0.42
2 2.3 1.95 0.35
3 4.1 4.18 -0.08
4 7.2 6.41 0.79
5 8 8.65 -0.65
Thus, the residuals are 0.42, 0.35, -0.08, 0.79, and -0.65 because residuals are the difference between the actual and predicted.
Learn more about the line of best fit here:
brainly.com/question/14279419
#SPJ2
please help a polynomial of degree 4 has 3-2i and 1+i as zeros. Are there any x-intercepts? Explain why?
Answer:
Answer:I can't read or see it
Step-by-step eAnswer:I can't read or see itxplanation:
2. What is the arithmetic mean between 35 and 105?
Answer:
to get the arithmetic means between 35 and 105 you must add the two and divide it by 2 so 35 + 105 equals to 140 then you divide it by 2 to get 70
What’s is twenty one minus eight
Answer:
13 dude
Step-by-step explanation:
Answer:
13
Step-by-step explanation: