Answer:
2.4cm
Step-by-step explanation:
the area of a triangle is
baseline × height / 2
that means two lengths of the triangle have to be multiplied.
and to have 2 similar triangles means that all lengths inside one triangle are the corresponding lengths inside the other triangle multiplied by the scaling factor f.
multiplying 2 if these lengths with each other means also including the square of the scaling factor (multiplying with the scaling factor twice).
so, if the area of triangle 1 is
"baseline 1" × "height 1" / 2 = 45 cm²
then the area of triangle 2 is
"baseline 2" × "height 2" / 2 =
= "baseline 1"×f × "height 1"×f /2 =
= "baseline 1" × "height 1" × f² / 2 =
= ("baseline 1" × "height 1" / 2) × f² =
= 45 × f² = 20 cm²
f² = 20/45 = 4/9
f = 2/3
so, for a side of ABC being 3.6cm long, that means the corresponding side in DEF is
3.6 × f = 3.6 × 2/3 = 7.2/3 = 2.4cm
find the value of x in the diagram below
Answer:
70
Step-by-step explanation:
In a trapezoid lines are parallel, so corresponding angle sum = 180
X+X+40 = 180
2x + 40 = 180
2x = 180-40
2x = 140
X = 140/2
X = 70
Answered by Gauthmath
Зх — 7 = 2х
Show work
Can someone help I don't understand
Answer:
Step-by-step explanation:
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Which of the following statements is true?
A. A data set will always have exactly one mode
B. A data set can have multiple modes
C. A data set will always have at least one mode
D. A data set will never have a mode
Answer:
B. A data set can have multiple modes.
D. A data set will never have a mode.
Step-by-step explanation:
reason for B: some data are referred to as multimodal data because they have multiple modes.
reason for D: data can lack a mode if no value appears more than two times, or frequently.
If p and q are remainders when the polynomials
Answer:
Step-by-step explanation:
What is the value of x + y(3 − x) when x = −5 and y = 3?
Answer:
19
Step-by-step explanation:
x + y(3 − x)
Let x = -5 and y = 3
-5 +3(3 - -5)
Subtracting a negative is like adding
-5 +3(3+5)
Parentheses first
-5 +3(8)
Multiply
-5+24
Subtract
19
PLEASE HELP! THANK U
Answer:
-26!!!! :))))
Step-by-step explanation:
9. a) A computer can finish to download an application file in 4 minutes of 600 MB per minute, 6.1 P
(1) Find the size of the application file. 1. L
(ii) How long does it take to download the file when the download rate increase
to 800 MB per minutes?
Answer:
1) 2400MB
2) 3 minutes
Step-by-step explanation:
1) 600 MB/Min * 4 Min = 2400MB
2) at 800 MB/Min a 2400MB file will require 2400MB/800MB/Min
2400/800 = 3Min
Need help, only provide the answer
Answer:
<R = 30 degrees
LM = 6 sqrt(3)
Step-by-step explanation:
RST = LMN
We know that angle R equals angle L
<L = 30 degrees so <R = 30 degrees
Side RS = side LM
RS = 6 sqrt(3) so LM = 6 sqrt(3)
easy algebra question below first correct answer gets brainliest
Answer:
Y = 27
Step-by-step explanation:
To find the the value of y when x = 4 simply substitute the given value of x
into the equation and solve for y
Equation given: y - 3x = 15
x = 4 * substitute 4 for x in given equation *
y - 3(4) = 15
Now solve for y
simplify multiplication
y - 12 = 15
Add 12 to both sides
y - 12 + 12 = 15 + 12
y = 27
So we can conclude that when x = 4 y = 27
Answer:
y = 27
Step-by-step explanation:
y - 3x = 15
Let x = 4
y - 3(4) = 15
y - 12 = 15
Add 12 to each side
y -12 +12 =15+12
y = 27
In this truss bridge, AAOB ABDC. AO=5 meters, BD=10 meters, AB=5 meters. What is the length of BC? A. 5 m B. 8 m C. 10 m D. 15 m
Consider [tex]\Delta AOB\cong \Delta BDC[/tex].
Given:
[tex]\Delta AOB\cong \Delta BDC, AO=5\ m,BD=10\ m, AB=5\ m.[/tex]
To find:
The length of BC.
Solution:
We have,
[tex]\Delta AOB\cong \Delta BDC[/tex]
We know that the corresponding parts of congruent triangles are congruent (CPCTC).
[tex]AB=BC[/tex] (CPCTC)
[tex]5\ m=BC[/tex]
The length of BC is 5 m. Therefore, the correct option is A.
please help! :)
Answer question B.
Thank you!
Answer:
t f dis say mane ion speak italian
Step-by-step explanation:
Express 2.99 x 108 m/s (the speed of light) in decimal notation (i.e., express the number without using scientific notation).
options:
2,990,000,000
299,000,000
Answer:
Step-by-step explanation:
I think you mean 2.99×10^8, not 2.99×108.
2.99×10⁸ meters per second = 299,000,000 meters per second
Which of the following is the discriminant of the polynomial below?
X2 +6X+8
A. 8
B. 6
C4
D. 26
view photo
k12 unit 1
Answer:
Step-by-step explanation:
What is the slope of the line?
How many times is the value of the digit 5 in 65.1748 lesser than the value of
the digit 5 in 3526.987?
100
1/100
1000
10
Answer:
3 times
Step-by-step explanation:
The 5 in "65.1748" is in the ones place. 5 is less than 10, 100, and 1000. 5 is greater than 1/100.
Anyone help please I need it
Answer:
[tex]-10+i\sqrt{2}[/tex]
Step-by-step explanation:
One is given the following expression:
[tex]\sqrt{4}-\sqrt{-98}-\sqrt{144}+\sqrt{-128}[/tex]
In order to simplify and solve this problem, one must keep the following points in mind: the square root function ([tex]\sqrt{}[/tex]) is a way of requesting one to find what number times itself equals the number underneath the radical sign. One must also remember the function of taking the square root of a negative number. Remember the following property: ([tex]\sqrt{-1}=i[/tex]). Simplify the given equation. Factor each of the terms and rewrite the equation. Use the square root property to simplify the radicals and perform operations between them.
[tex]\sqrt{4}-\sqrt{-98}-\sqrt{144}+\sqrt{-128}[/tex]
[tex]\sqrt{2*2}-\sqrt{-1*2*7*7}-\sqrt{12*12}+\sqrt{-1*2*8*8}[/tex]
Take factors from out of under the radical:
[tex]\sqrt{2*2}-\sqrt{-1*2*7*7}-\sqrt{12*12}+\sqrt{-1*2*8*8}[/tex]
[tex]2-7i\sqrt{2}-12+8i\sqrt{2}[/tex]
Simplify,
[tex]-10+i\sqrt{2}[/tex]
If d-1/d=6 evaluate d+1/d
[tex]{ \boxed{\boxed{\begin{array}{cc} \maltese \bf \: given \: \\ \\ \rm \: d - \frac{1}{d} = 6 \\ \\ \bf \: now \\ \\ \rm {(d + \frac{1}{d} })^{2} = ( {d - \frac{1}{d} })^{2} + 4 \times d \times \frac{1}{d} \\ \\ = {6}^{2} + 4 \\ \\ = 36 + 4 \\ \\ = 40 \\ \\ \rm \: d + \frac{1}{d} = \pm \sqrt{40} \end{array}}}}[/tex]
Classify this triangle
A) Acute scalene triangle
B) Obtuse isosceles triangle
C) Right isosceles triangle
D) Right scalene triangle
Answer C Right Isosceles Triangle
Step-by-step explanation:
Do it
Answer: C
Step-by-step explanation:
It has a 90 degree angle, right triangle, and both legs in the triangle seem to be the same size, so it's also isosceles.
Prime factorization of 797 method also
Answer:
Prime factorization: 797 is prime. The exponent of prime number 797 is 1. Adding 1 to that exponent we get (1 + 1) = 2. Therefore 797 has exactly 2 factors
REfer and answer
Pls its urgent
Pls fast
QUICK WHATS THIS ANSWER?!?
Answer:
C. [tex]-x-6>-3.5[/tex]
Step-by-step explanation:
One is asked to find which inequality has ([tex]x=-3[/tex]) in its solution set. Remember that an inequality is another way to represent a set of solutions. In essence, it states that all numbers less than; less than or equal to; greater than; or greater than or equal to, are a part of the solution. One simplifies an inequality in a similar manner to how one simplifies an equation, by using inverse operations and simplification. Just note that when multiplying or dividing the inequality by a negative number, one has to flip the inequality sign to ensure the expression remains true.
Simplify each of the inequalities, then evaluate to see which one has ([tex]x=-3[/tex]) as a part of its solution set.
A. [tex]-x -6<-3.5[/tex]
[tex]-x<2.5[/tex]
[tex]x>-2.5[/tex]
B. [tex]-x-6>3.5[/tex]
[tex]-x>9.5[/tex]
[tex]x<-9.5[/tex]
C. [tex]-x-6>-3.5[/tex]
[tex]-x>2.5[/tex]
[tex]x<-2.5[/tex]
D. [tex]x-6>-3.5[/tex]
[tex]x>2.5[/tex]
As can be seen, option (C [tex]-x-6>-3.5[/tex]) is the only one that fits this requirement. Since option (C) simplifies down to ([tex]x<-2.5[/tex]) or in words, (x) is less than (-2.5). This option is the only one that fits the solution since (-3) is less than (-2.5).
Find the arc length of the partial circle.
Answer:
4.71
Step-by-step explanation:
Arc length = 2*pi*r-(pi*r)/2
Arc length = 3*2*(3.14)/4 = 4.71
A line has an x-intercept of –5 and a y-intercept of 1. Determine the slope of a line parallel to this line.
Answer:
Step-by-step explanation:
A line with an x-intercept of -5 has the coordinates (-5, 0); that same line with a y-intercept of 1 has the coordinates of (0, 1). The slope of this line is
[tex]m=\frac{1-0}{0-(-5)}\\m= \frac{1}{5}\\[/tex]
A line that is perpendicular to this one will have a slope of -5.
Martas school has 325 desks for 13 classrooms . If the desks are shared evenly how many desks will each classroom have
Answer:
25
Step-by-step explanation:
What is the circumference of a circle with an area of 50.24
Answer: C=25.12
Step-by-step explanation:
[tex]\displaystyle\ \Large \boldsymbol{} if \ \ equal \ \pi =3,14 \ \ then \\\\\pi r^2=3,14r^2\\\\3,14r^2=50,24 \\\\ r^2=16 \\\\ r=4 \Longrightarrow C= 2\pi r=2\cdot 3,14\cdot 4=25.12 \\\\\\ Answer : C=25.12[/tex]
A giant and a dragon live next door to each other. The giant's house is 23 meters tall. His house is 35 meters shorter than the dragon's house.
2. Damian is monitoring the temperature of
the swimming pool. It is currently 86.8° and
cooling 0.5° per minute. After how many
minutes will the swimming pool be 80.8°?
a. Equation:
I think 12 minutes will pass until the tempature reaches 80.8
The number of minutes when the temperature of the swimming pool is 80.8° will be 12 minutes.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Damian is monitoring the temperature of the swimming pool. It is currently 86.8° and cooling 0.5° per minute. Then the equation will be
y = 86.8 - 0.5x
The number of minutes when the temperature of the swimming pool be 80.8° will be
80.8 = 86.8 - 0.5x
0.5x = 6
x = 12
The number of minutes when the temperature of the swimming pool is 80.8° will be 12 minutes.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ2
What is the slope-intercept equation for the line below?
Step-by-step explanation:
given that the coordinate is (0,1)(4,3)
x¹=0, y¹=1, x²=4 y²=3
M=> Gradient => (y²-y¹)/(x²-x¹)
M=(3-1)/(4-0) => 1/2
Therefore the slope-intercept equation
M=(y-y¹)/(x-x¹)
1/2 = (y-1)/(x-0)
x=2y-2
2y=-2-x
y=-x/2 - 1
