Answer:
the total surface area of the prism is 245.67
Step-by-step explanation:
Given;
height of the triangular prism, h = 8
length of the triangular bases, = 7, 8, and 9
The total surface area of the prism is calculated as;
T.S.A = ph + 2B
Where;
p is the perimeter of the base
B is area of the base
P = 7 + 8 + 9 = 24
Area of the base can be calculated using Hero's formula;
[tex]S = \frac{7+8+9}{2} = 12\\\\Base \ area (B) = \sqrt{12(12-7)(12-8)(12-9)} = 26.833[/tex]
T.S.A = (24 x 8) + 2 x 26.833
T.S.A = 192 + 53.666
T.S.A = 245.67
Therefore, the total surface area of the prism is 245.67
Is it a right triangle please help!
Answer:
no
Step-by-step explanation:
Hello There!
We can figure out if the given side lengths form a right triangle using the Pythagorean Theorem
The Pythagorean Theorem states that the hypotenuse (longest side) squared equal to sum of the two legs squared
so if it is a right triangle then
[tex]74^2=71^+24^2[/tex]
[tex]74^2=5476\\71^2=5041\\24^2=576\\5041+576=5617\\5476\neq 5617[/tex]
5617 is not equal to 5476 therefore the given side lengths do not form a right triangle
~TheMathWIz
Whoever responds first will get marked Best!please look at the picture!Which scenario has the same area as the given figure?
A:A triangle with a base of 6 ft and a height of 10 ft.
B:A rectangle with a base of 9 ft and a height of 10 ft.
C:A parallelogram with a base of 10ft and a height of 16 ft.
D:A triangle with a base of 7 ft and a height of 24 ft.
Answer:
D) 96 is closest
Step-by-step explanation:
12x7=84
1/2(8)(4)=16
84+16=100
A = 30
B = 45
C = 160
D = 96
A Carpenter has a board that measures 6 feet x 4 feet. a small rectangle measuring 1 foot x 1 foot is cut out of the middle how much area is left?
find the value of M in the following equation 7=m*12
Step-by-step explanation:
7=m*12
divide the equation by 12
7/12=12m/12
7/12=m
if you meant to type 7=m^12
then the answer for m is 7^(1/12)
which is 1.1760
Hope that helps :)
what is 1 plus 1 2+2 sara has this much how can she divide it to her 1 friend and her?
Answer: 7.5 each
Step-by-step explanation:
15/2
Divide (x2 + 8x + 1) ÷ (x – 4) using synthetic division.
Answer:
I'm sorry i cant help you rn, download symbolab or math solver, I'm sure you will find your answer g
The thickness of the backfat in pigs is used in evaluating the quality of their flesh for consumption. To compare the backfat thickness of pigs raised on two different diets, an animal researcher randomly sampled a group of pigs raised on Diet 1 and another group raised on Diet 2:
Sample Mean Sample SD Sample Size
Diet 1 3.63 cm 0.29 cm 18
Diet 2 3.37 cm 0.25 cm 18
POOLED SE 0.09
A) After confirming all relevant assumptions, you want to test if the mean backfat thicknesses of the pigs raised on these two diets differs. What is the absolute value of the test statistic?
B) If the critical value for this test is 2.032 (confirm that it is), what would be an appropriate conclusion for this test?
A. An conclusion is not warranted for this test
B. This data provides evidence that mean backfat thickness of pigs on Diet 1 is different from pigs on Diet 2 (p<.05)
C. This data provides no evidence that mean backfat thickness of pigs on Diet 1 is different from pigs on Diet 2 (p<.05)
D. This data provides evidence that diet is independent of backfat thickness (p<.05)
E. There is no evidence that diet is independent of backfat thickness (p>.05)
Answer:
A) The test statistic is approximately 7.5056
B) E. There is no evidence that diet is independent of backfat thickness
Step-by-step explanation:
The given data are;
The sample mean for pigs raised on Diet 1, [tex]\overline x_1[/tex] = 3.63 cm
The sample SD for pigs raised on Diet 1, s₁ = 0.29 cm
The number of pigs in the sample for pigs raised on Diet 1, n₁ = 18
The sample mean for pigs raised on Diet 2, [tex]\overline x_2[/tex] = 3.37 m
The sample SD for pigs raised on Diet 2, s₂ = 0.25 cm
The number of pigs in the sample for pigs raised on Diet 2, n₂ = 18
The pooled SE = 0.09
A) The test statistic is given by the following formula;
[tex]t=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{\dfrac{s_{1}^{2} }{n_{1}}-\dfrac{s _{2}^{2}}{n_{2}}}}[/tex]
Therefore, we have;
[tex]t=\dfrac{(3.63-3.37)}{\sqrt{\dfrac{0.29^{2} }{18}-\dfrac{0.25^{2}}{18}}} \approx 7.5056[/tex]
The test statistic, t ≈ 7.5056
B) The degrees of freedom, df = n₁ - 1 = 18 - 1 = 17
At a confidence level of 95%, the critical value is 2.11
Given that the value of the test statistics tic if larger than the critical value, the null hypothesis is rejected and there is a difference in the backfat of the pigs on different diet
Therefore, there is no evidence that diet is independent of backfat thickness
What expressions represent 5/6 × 5
Answer:
[tex]5 \div 6 \times 5 = 25\div 6[/tex]
25/6 is the Answer5x + (1x+6)= 78
BARDZO POTRZEBUJĘ
Answer: x = 12
Step-by-step explanation:
1. add 5x + 1x which will equal 6x so now your equation is: 6x + 6 = 78
2. subtract 6 from 78 to get 72: 6x = 72
3. divide 72 by 6x to get your answer 12
Answer:
x = 12
Step-by-step explanation:
6x + 6 = 78
6x = 78 - 6
6x = 72
x = 72 / 6
x = 12
Mam nadzieję, że to pomoże!
Find the unknown value: x + 9 = 16 * 6 5 7
Answer:
X=10,503
Step-by-step explanation:
x+9=16×657
X+9=10,512
X=10,512-9
X=10,503
Please help quick no Tiny links please plz plz help quick due soon I will give points no Links
Answer:
I think its B but im not sure
Step-by-step explanation:
I need help please.
Answer:
Answer is C hope this helps
Step-by-step explanation:
Adam used 6 cups of milk to fill containers that each hold 1/3 how many containers can he fill
Answer:
2
Step-by-step explanation:
Change the numbers into an improper fraction. 6/3, then simplify it.
6/3 = 2
Answer:
1/3=6. Cross multiply1×c=6×3cups filled= 18Kisi samantar shreni me pratham 6 pado ka yog 42 hai iske 10 we pad tatha 30 we pad me anupat 1:3 ka hai is samtar shereni ka pratham tatha 13 pad gyat kare
Answer:
समांतर श्रेणी का प्रथम पद a = 2
[tex] t_{13}= 26[/tex]
Step-by-step explanation:
माना समांतर श्रेणी का प्रथम पद a और सामन्य अन्तर d है.
इसलिए..
[tex] S_6 = 42....(given) [/tex]
[tex]\therefore \frac{6}{2}\{2a + (6-1)d\}= 42 [/tex]
[tex]\therefore 3\{2a + 5d\}= 42 [/tex]
[tex]\therefore \{2a + 5d\}= \frac{42}{3} [/tex]
[tex]\therefore 2a + 5d=14...... (1)[/tex]
[tex] t_{10} : t_{30}= 1 : 3.....(given) [/tex]
[tex] \therefore \frac{t_{10}}{t_{30}} = \frac{1}{3} [/tex]
[tex] \therefore \frac{a +9d}{a+29d} = \frac{1}{3} [/tex]
[tex] 3(a + 9d) = a + 29d[/tex]
[tex] 3a + 27d = a + 29d[/tex]
[tex] 3a - a = 29d - 27d [/tex]
[tex] 2a= 2d [/tex]
[tex] a= d...... (2)[/tex]
समीकरण (1) और (2) से:
[tex]\therefore 2a + 5a=14[/tex]
[tex]\therefore 7a=14[/tex]
[tex]\therefore a=\frac{14}{7}[/tex]
[tex]\therefore a=2[/tex]
समांतर श्रेणी का प्रथम पद a = 2
a = d = 2... (समीकरण 2 से)
[tex] t_{13}= 2 + (13-1)2[/tex]
[tex] t_{13}= 2 + 12\times 2[/tex]
[tex] t_{13}= 2 + 24[/tex]
[tex] t_{13}= 26[/tex]
The expression (x^3) (x12) is equivalent to x^n. What is the value of n?
3 and n are exponents
Answer:
Step-by-step explanation:
(x^3) (12x)
(x^4)(12)
12x^4
We can really find the exponent without knowing what x is equal to but I hope this helps
find the area of the compound shape. use 3.14 for pi.
1. 26.1cm square 2
2. 125.1cm square 2
3. 68.5cm square 2
4. 28.3cm square 2
Answer:
1. 26.1 cm²
Step-by-step explanation:
For area of semi circle
diameter = 6cm
radius = 6/2 = 3cm
Area of semi circle = 1/2 x pi x r²
= 1/2 x 3.14 x 3²
= 1.57 x 9
= 14.13 cm²
For area of rectangle,
length = 6cm
breadth = 2cm
Area = length x breadth
= 6 x 2
= 12cm²
Area of compound shape = 14.13 + 12
= 26.13 cm²
HELPPPPPP
Order the following numbers from least to greatest.
10 square number 5
10square number -99
10 square number -17
10 square number 14
10 square number -5
10 square number 30
Answer:
10^-99
10^-17
10^-5
10⁵
10¹⁴
10³⁰
which of the following phrases describes the expression 2 - 2x
Answer:c
Step-by-step explanation:cccccc
What is the value of the expression
3+(2+8)^2+4*(1/2)^4
Answer:
Use photo math, it will explain it all
First here's the expression written out a little clearer
[tex]3+(2+8)^2+4*(\frac{1}{2} )^4[/tex]
Parentheses: (2+8) = (10).
Exponents: 10^2 is 100, and [tex](\frac{1}{2} )^4[/tex] is [tex]\frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot\frac{1}{2} =[/tex] [tex]\frac{1}{16}[/tex]
Multiplication and division: 4 * 1/16 is [tex]\frac{4}{16}[/tex] or [tex]\frac{1}{4}[/tex] simplified
Addition and subtraction: Go left to right. 3 + 100 + [tex]\frac{1}{4}[/tex] = 103.25 (final answer)
What is the value of the y-intercept of the graph of f(x) = 29(5.2)* ?
Answer:
(0,29)
Step-by-step explanation:
To find the y-intercept, substitute in
0 for x and solve for y OR use a graphing calculator.
What is the value of x in 5x = 35? *
Answer:
7
Step-by-step explanation:
what is this figure ?
Answer:
B) rhombus
Step-by-step explanation:
the tic marks on the lines indicate that they are congruent, not parallel there is no way of knowing for sure that those lines are parallel therefore it is not a parallelogram even though it looks like it
Which of the following sets of data does NOT represent a function? Set A x y 6 3 8 4 5 7 9 2 Set B x y 0 3 1 8 2 8 3 -7 Set C x y 10 7 20 11 30 9 40 7 Set D x y 3 9 2 2 8 -3 2 1 a. Set A b. Set B c. Set C d. Set D
Answer:
Set D
Step-by-step explanation:
There's 2 different y-values for the x value, 2 in Set D
In the elimination method would you add or subtract the following system? (Elimi
2x+5y=-2
-2x-7y=-6
(1 Point)
Add
Subtract
(Worth 10 points)
Answer:
You will add!
Step-by-step explanation:
Words words words
PLZ HURRY, TIMED, WILL MARK BRAINLIEST********
K [Not drawn to scale] Which is true about the diagram? Select two options. MZIKH+MZIKL= 180° MZIKLU MZILK+mZKIL = 180° DmZJKH= MZJLK O MZIKLU MZILK= 90° OmZKIL= MZKLJ
Given f(x)= 3|2x-4|-8
find f(-3)=
Hi there!
[tex]\large\boxed{f(-3) =22 }}[/tex]
Find f(-3) by substituting in -3 for x:
f(x) = 3|2x - 4| - 8
f(-3) = 3|2(-3) - 4| - 8
Simplify:
f(-3) = 3|-6 - 4| - 8
f(-3) = 3|-10| - 8
f(-3) = 3(10) - 8 = 22
what are the challenges of wildlife conservation in Ethiopia
Answer:eEthiopia is the third country next to Tanzania and Uganda in terms of land surface of protected area; human-wildlife conflict, loss of biodiversity, and limited tourism and conservation attention with poor infrastructure are some of the major challenges.
Step-by-step explanation: brainilest ?
427 to the nearest hundred
Answer:
400
Step-by-step explanation:
The two is less than 5 so it becomes 0 and so does the 7
What is equivalent to 4,000 centimeters? A. 4 meters B.40 meters C.400 meters D. 40,000 meters
Answer:
B. 40 meters
Step-by-step explanation:
there are 100 cm in a meter
we can divide 4,000 by 100 to see how many meters are equivalent to 4,000 cm.
4,000/100 = 40
Therefore, the answer is B. 40 meters
hope this helps :)
find the missing value no trolling please
Answer: 2
The equivalent ratios are 1:2 and 5:10
Step-by-step explanation: