Step-by-step explanation:
We will use pythagoras' Theorem for this question
[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]
where c is the longest side (in this case, the diagonal)
a and b are the 2nd and 3rd longest side (interchangeable)
given a = 10.6, b = 16.8,
[tex] {c}^{2} = {10.6}^{2} + {16.8}^{2} \\ {c}^{2} = 112.36 + 282.24 \\ {c}^{2} = 394.6 \\ c = \sqrt{394.6} \\ = \frac{ \sqrt{9865} }{5} inches[/tex]
Need Help plzzzzzzxxxz
Answer:
[tex]VW = 50[/tex]
Step-by-step explanation:
Given
The attached triangle
Required
Find VW
To find VW, we make use of the following equivalent ratios.
[tex]YX : XW = ZX : XV[/tex]
Where:
[tex]YX = ZX - ZY = 42 - 28 = 14[/tex]
[tex]XV = XW + VW = 25 + VW[/tex]
So, we have:
[tex]14 : 25 = 42 : 25 + VW[/tex]
Express as fraction
[tex]\frac{14 }{ 25 }= \frac{42 }{ 25 + VW}[/tex]
Divide both sides by 14
[tex]\frac{1}{ 25 }= \frac{3}{ 25 + VW}[/tex]
Cross multiply
[tex](25 + VW) * 1 = 3 * 25[/tex]
[tex]25 + VW = 75[/tex]
Solve for VW
[tex]VW = 75 -25[/tex]
[tex]VW = 50[/tex]
help me with this question
Answer:
A
Step-by-step explanation:
The opposite of 6 IS -6
Edwin buys a video game that is $55. It is on sale for 20% off, and he has to pay 10% sales tax. Is the final cost the same as a 10% discount? Why or why not?
Answer:
No If it would be 10 percent of the total would be the price tag without tax
Step-by-step explanation:
Which product is less than 5/8 help l will give you brainlest
Answer:
4/3 x 5/8 is correct
Step-by-step explanation:
Answer: C 7/10 * 5/8
Step-by-step explanation:
4/3 * 5/8 = 20 / 24 = 5 / 6
3/2 * 5/8 = 15 / 16
7/10 * 5/8 = 35/80 = 7 / 16
9/7 * 5/8 = 45 / 56
5/8 = 10/16
7/16 < 10/16
7/16 < 5/8
Find the circumference of the circle and round to the nearest tenth
Answer:
The circumference is 45.2yd
Step-by-step explanation:
Given
[tex]d = 14.4[/tex] --- diameter
Required
Determine the circumference
The circumference is calculated as:
[tex]C =\pi d[/tex]
So, we have:
[tex]C =\pi * 14.4[/tex]
Take pi a 3.14
[tex]C =3.14 * 14.4[/tex]
[tex]C =45.216[/tex]
Approximate
[tex]C =45.2yd[/tex]
Choose the option that best answers the question. Paracelsus University has two kinds of professors: academic professors and professional professors. At Paracelsus University, 60% of the professors are academic professors, and 70% of the professors are tenured. If 90% of the professors at Paracelsus University are academic professors or tenured or both, then what percent of the professional professors there are tenured
Answer:
75%
Step-by-step explanation:
The computation of the percent of the professional professors there are tenured is shown below;
Given that
academic professors A = 60%
professors tenured P = 70%
professors at Paracelsus University = 90%
Based on the above information
As we know that 90% of the professors could be academic professors or tenured or both
so here we can say that the percent of academic professors is
= 60 + 70 - 90
= 40
Therefore professors tenured will be
= 70 - 40
= 30
Now the percentage of professional professor that is tenured is
= 30 ÷ 40 × 100
= 75%
At many college bookstores, students can decide whether to purchase or to rent a textbook for a class. A study was conducted to investigate whether the percent of rented textbooks for all science classes in the state was greater than the percent of rented textbooks for all literature classes in the state. The following hypothesis test was done at the significance level of α=0.05α=0.05.
H0:pS=pLHa:pS>pLH0:pS=pLHa:pS>pL
In the hypotheses, pSpS represents the proportion of all science textbooks that are rented, and pLpL represents the proportion of all literature textbooks that are rented.
All conditions for inference were met, and the resulting pp-value was 0.035. Which of the following is the correct decision for the test?
The pp-value is less than αα. Since 0.035<0.050.035<0.05, the null hypothesis is rejected, and the claim is supported. There is convincing statistical evidence that the proportion of all science textbooks that are rented is greater than the proportion of all literature textbooks that are rented.
A The pp-value is less than αα, and the null hypothesis is rejected. There is not convincing evidence to support the claim that the proportion of all science textbooks that are rented is greater than the proportion of all literature textbooks that are rented.
B The pp-value is less than αα, and the null hypothesis is not rejected. There is not convincing evidence to support the claim that the proportion of all science textbooks that are rented is greater than the proportion of all literature textbooks that are rented.
C The pp-value is greater than αα, and the null hypothesis is rejected. There is convincing evidence to support the claim that the proportion of all science textbooks that are rented is greater than the proportion of all literature textbooks that are rented.
D The pp-value is greater than αα, and the null hypothesis is not rejected. There is not convincing evidence to support the claim that the proportion of all science textbooks that are rented is greater than the proportion of all literature textbooks that are rented.
Answer:
A The p-value is less than α, and the null hypothesis is rejected. There is convincing evidence to support the claim that the proportion of all science textbooks that are rented is greater than the proportion of all literature textbooks that are rented.
Step-by-step explanation:
Given :
Percentage rented science textbooks = pS
Percentage rented Literature textbooks = pL
To test if percentage Science textbooks in the state was greater than percentage Literature textbooks :
H0: pS = pL
Ha: pS > pL
Pvalue = 0.035 ; α = 0.05
Decision Region :
If Pvalue < α ; We reject H0
In the scenario above,
Pvalue < α ; 0.035 < 0.05 ; Hence, we reject the Null ;
We conclude that There is convincing evidence to support the claim that the proportion of all science textbooks that are rented is greater than the proportion of all literature textbooks that are rented.
If xy + y² = 6, then the value of dy/dx at x= -1 is
Hi there!
[tex]\large\boxed{\text{At (-1, -2), }\frac{dy}{dx} = -\frac{2}{5}}}[/tex]
[tex]\large\boxed{\text{At (-1, 3), }\frac{dy}{dx} = -\frac{3}{5}}}[/tex]
We can calculate dy/dx using implicit differentiation:
xy + y² = 6
Differentiate both sides. Remember to use the Product Rule for the "xy" term:
(1)y + x(dy/dx) + 2y(dy/dx) = 0
Move y to the opposite side:
x(dy/dx) + 2y(dy/dx) = -y
Factor out dy/dx:
dy/dx(x + 2y) = -y
Divide both sides by x + 2y:
dy/dx = -y/x + 2y
We need both x and y to find dy/dx, so plug in the given value of x into the original equation:
-1(y) + y² = 6
-y + y² = 6
y² - y - 6 = 0
(y - 3)(y + 2) = 0
Thus, y = -2 and 3.
We can calculate dy/dx at each point:
At y = -2: dy/dx = -(-2) / -1+ 2(-2) = -2/5.
At y = 3: dy/dx = -(3) / -1 + 2(3) = -3/5.
Find all the values of × for which the statement is true.
[tex] | {x}^{2} + 9| = {x}^{2} + 9[/tex]
Measure of angle R =49 find the measure of angle O
Answer:
angle O is equal to 41°
I hope it's helps you
I need with help with this question
Answer:
the answer is 3
Step-by-step explanation:
4. June's portfolio of stocks includes 177 shares of Parcher, 213 shares of Giaco
Household Goods, and 152 shares of Raxin Accounting. If Parcher pays yearly
dividend of $8.21 per share. Giaco Household pays $6.97 per share and Raxin
pays $11.44 per shares, how much does June earn in dividends per year?
Maria walks a round-trip of 0.75 mile to school every day. How many miles will she walk
in 4.5 days?
A 0.3375 mile
B 3.375 miles
C 33.75 miles
D 337.5 miles
I need help ASAP. Worth 20 points
Look at picture plz
Find the value of x in the triangle shown below 9 3
Answer:
x = 9.4868
Step-by-step explanation:
For this problem we can use the Pythagorean Theorem
Pythagorean theorem = [tex]a^2+b^2=c^2[/tex]
IN THIS CASE C = X
A and B are the side and base lengths of a right triangle.
C is the Hypotenuse side.
[tex]9^2+3^2=c^2[/tex]
Solve...
81 + 9 = [tex]c^2[/tex]
90 =[tex]c^2[/tex]
[tex]\sqrt{90}[/tex] = c
c = 9.4868
What is the product of (2x+1) and (2x-1)? O 4x2 0 4x2 - 4x-1 0 4x2 - 2x + 1 0 4x2.1
Answer:
Step-by-step explanation:
hello :
use identity : a²-b²=(a-b)(a+b)
(2x+1) (2x-1)= (2x)²-1 =4x²-1
In a geometric sequence, a2 = 2, a3 = 20, & a4 = 200.
Which equation can be used to find the nth term of the sequence, an?
an = 10 * 2n-1
an = 2n-1
an = 1/5 * 10n-1
an = 2 * 18n-1
Answer:
the first one
the first one Step-by-step explanation:
the first one Step-by-step explanation:from the formula Un =ar^n-1
where a is 2
where a is 2 r = 20/2=10
where a is 2 r = 20/2=10 so Un= 10×2^n-1
that's all.....have fun
Answer:
C.) an =1/5 * 10n-1
Step-by-step explanation:
D.) is out of the question just at first look.
A.) is irregular to the sequence, giving you the wrong outputs.
B.) is also irregular to the sequence.
Leaveing your answer...
pls answer this.
don't answer 1&2. just answer 3-10 thanks in advance!
Answer:
3. m<4=101°
4. sum of angle on a straight line
5. m<8= 101°
6.m<3=180-101°
=79°
7.sum =180°
8. alternate angles
9. and m<8
10. 180°
Answer:
3.
m<1=79°
m<4=180-79°=101°(linear pair)
4.
<7+<8=180°(straight line)
5.
m<6=101
m<8=101°[vertically opposite angle]
6.
m<3=180-101=79°
7.
180°
8.
alternate angle
9.
and <8
10.
180°
find the tax (7%) paid on $99 sneakers
Answer:
6.3
Step-by-step explanation:
99(.07)=6.3
original price was 92.7 + 6.3 gives you 99
One year there was a total of 59 commercial and noncommercial orbital launches worldwide. In addition, the number of noncommercial orbital launches was two more
than twice the number of commercial orbital launches. Determine the number of commercial and noncommercial orbital launches.
Answer:
The number of commercial orbital launches is equal to 19 and the number of noncommercial orbital launches is equal to 40.
Step-by-step explanation:
IMPORTANT INFORMATION: The number of noncommercial orbital launches was two more than twice the number of commercial orbital launches.
Let's say that the number of commercial orbital launches is equal to x. Now, the number of noncommercial orbital launches is equal to 2x+2.
We are told that if we add the number of commercial and noncommercial orbital launches together we will get 59.
Therefore, if we add 2x+2 with x we should get 59:
2x+2+x=59
3x+2=59
3x=57
x=19
This is how we can come to the answer that the number of commercial orbital launches is equal to 19 and the number of noncommercial orbital launches is equal to 40 (2x+2=2*19+2=38+2=40).
Hope this helps!
Samira is playing a game with the spinner shown.
What is the theoretical probability that the pointer will land in a section labeled with the letter J?
Answer:
2/10 or 1/5
Step-by-step explanation:
there are 10 equal 'slices'
then count those with a J
that would be 2
WILL MARK BRAINLY FOR WHO EVER GETS THE ANSWER FIRST
Answer:
The point was reflected along the y axis.
Step-by-step explanation:
Since they are both negative, it went to Quadrant III. It was previously in Quadrant IV, which means that To get from IV to III we need to reflect the points along the Y axis.
1. A cardboard box is 5 feet long, 1.5 feet
wide, and 2 feet high. Which of the
following answers is closest to the
volume of the box in cubic feet?
A. 8.5 ft.3
B. 15 ft.3
C. 18 ft.3
D. 24 ft.3
Answer:
The correct answer is B.
Step-by-step explanation:
V=whl=1.5·2·5=15
Answer:
B. 15 ft.3
Step-by-step explanation:
multiply all the measurements to find the volume :)
Use the distributive property to create an equivalent expression to 6(3j + 4 +j)
Answer:
24j + 24
Step-by-step explanation:
6(3j + 4 +j)
6(4j + 4)
24j + 24
Find the measure of < 1.
9514 1404 393
Answer:
92°
Step-by-step explanation:
∠1 is an "alternate exterior angle" with the one marked 92°. Alternate exterior angles are congruent, so ...
∠1 = 92°
Which angles are supplementary to each other?
calcular el 20% de 50
Answer:
10
Step-by-step explanation:
Given sin r = 0.5, what is cos r?
enter your answer as a decimal, rounded to the nearest hundredth.
Answer:
0.877 but rounded it will be 0.88
Fill in the blank will choose brain
Answer:
Below :)
Step-by-step explanation:
The difference of the means would be:
90 - 50 = 40
When finding difference you need to use subtraction.
The difference is 40
The MAD score is 10
"This difference is 4 times the value of the MAD of each data set."
enlarge the line by scale factor-2,with point (6,5)as the centre of enlargement.Mark the ends of your lines with crosses using the cross-drawing tool
Dilation involves changing the size of a figure
The endpoints of the image are (-2,-1) and (6,1)
How to determine the coordinates of the imageThe coordinates of the pre-image are give as:
(2,2) and (6,2)
The scale factor is given as:
k = 2
The center of dilation is given as:
(a,b) = (6,5)
The coordinates of the image are then calculated as:
[tex](x,y) \to (k(x -a) + a, k(y -b) + b)[/tex]
For (2,2), we have:
[tex](x,y) \to (2(2 -6) + 6, 2(2 - 5) + 5)[/tex]
[tex](x,y) \to (-2, -1)[/tex]
For (6,2), we have:
[tex](x,y) \to (2(6 -6) + 6, 2(2 - 5) + 5)[/tex]
[tex](x,y) \to (6, -1)[/tex]
Hence, the endpoints of the image are (-2,-1) and (6,1)
Read more about dilation at:
https://brainly.com/question/3457976