Each vertical cross-section of the triangular prism shown below is an isosceles triangle.
What is the height, h, of the triangular prism?
Round your answer to the nearest tenth.
The height is
units.
Answers
Answer: The height is 3 units.
Step-by-step explanation:
By using the give figure we can form right angle out of the whole figure with a base of 4 and an hypotenuse of 5.
By using this information we can use the Pythagorean Formula to find the height
a^2 + b^2 =c^2 a= base, b = height and c will be the hypotenuse.
4^2 + b^2 = 5^2 Solve for B
16 + B^2 = 25
-16 -16
b^2 = 9
b = [tex]\sqrt{9}[/tex]
b = 3
The height, h, of the triangular prism is 3 units.
What is an isosceles triangle?Isosceles triangles are those triangles that have at least two sides of equal measure and two base angles are equal.
Given that, vertical cross-section of the triangular prism shown in the given figure is an isosceles triangle.
Here, equal sides of an isosceles triangle is 5 units and base of the isosceles triangle is 8 units.
By using Pythagoras theorem,
5²=h²+4²
25=h²+16
h²=9
h=3
Therefore, the height, h, of the triangular prism is 3 units.
To learn more about an isosceles triangle visit:
https://brainly.com/question/10147636.
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Related Questions
Brianna buys 10 balloons for her sisters. She gives 5 balloons to each sister and has none left. How many sisters doe Brianna have?
Answers
Answer:
2
Step-by-step explanation:
10-5=5
5-5=0
can anyone please help i am stuck on this question?
Answers
Answer:
8/17
General Formulas and Concepts:
Trigonometry
[Right Triangles Only] cos∅ = adjacent over hypotenuseStep-by-step explanation:
Step 1: Define
We are given a right triangle. We can use trig to find the ratio.
Step 2: Identify
POV from angle S
Adjacent = 8
Hypotenuse = 17
Step 3: Write
Substitute [cosine]: cos(s) = 8/1716a² − 25?? please help
Answers
Answer:
(4a - 5)(4a + 5)
Step-by-step explanation:
Assuming you require to factor the expression
Given
16a² - 25 ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b)
16a² - 25
= (4a)² - 5²
= (4a - 5)(4a + 5) ← in factored form
Answer100 POINTS! (50 split up) PLSSSSSTO GIVE BRAINLIEST AND FIVE STARS AND A THANKS! 6TH GRADE SCIENCE! i used all my points for this!
You measure the mass of an apple using a balance.
If you borrow 700$ for five years at a annual interest rate of 7%, how much will you pay all together
Answers
Answer:
$2,245.
Step-by-step explanation:
Your interest will have grown to $2,245 dollars and you will have earned $1,545.
Hope this helped
I need help-
if a ladder is to reach a height of 5.6m, the base must be at least 1.4m from the wall. How long should the ladder be in order to meet this safety regulations?
Answers
Answer:
≈ 5.72 mStep-by-step explanation:
Use Pythagorean as the ladder is going to be a hypotenuse of a formed right triangle with legs of 5.6 m and 1.4 m
Ladder length:
√5.6² + 1.4² = √32.76 ≈ 5.72 m roundedOption on 1 blank
(2x-1)(x+9)
3x(x-9)
X+7
(2x+1)(x-9)
2 blank
3x(2x+1)
X-7
3x(x+7)
X+7
3 blank
-7
9
0
-0.5
0.5
Answers
Answer:
0.5
Step-by-step explanation:
Lana has 6 bags with 3 candy bars in each bag. Markus has 3 bags with 4 candy bars in each bag. How many more candy bars does Lana have?
Answers
Answer:
Lana has 6 more candy bars than Markus.
Step-by-step explanation:
Lana has 6 bags, each with 3 candy bars. To find the total amount you multiply 6 by 3 which is 18. Markus has 3 bags, each with 4 candy bars, to find the total amount you also multiply 3 by 4 which is 12. Now you subtract: 18-12=6. So Lana has 6 more candy bars than Markus.
Answer:
Lana has 6 candy bars more than Markus
Step-by-step explanation:
6 x 3 = 18
3 x 4 = 12
18 - 12 = 6
Which of the following lines is perpendicular to the line y = 3x - 4?
O y = 3x + ]
O y= - 4x + 4
O y = *- 6
O y = - 3x + 9
Answers
Answer:
it should be this
Step-by-step explanation:
y= 1/3 and then -4
Help I will mark brainly
Answers
Answer:
Use M A T H W A Y. It helps.
Answer:
A) -9.8 × (-23.5)
Step-by-step explanation:
negative × negative = positive
negative × positive = negative
positive × positive = positive
19 dozen cookies to individual cookies
Answers
Answer:
228 individual cookies.
Step-by-step explanation:
To convert 19 dozen cookies to individual cookies, we first have to identify that:
[tex]dozen=12[/tex]
If a dozen is equal to 12, to solve, we simply must multiply the amount of dozens, which is 19, by a dozen, which is 12:
[tex]19*12=[/tex]
[tex]228[/tex]
Therefore, there are 228 individual cookies.
-
We can check our work by dividing the individual number of cookies, 228, by dividing buy the amount of dozens, 19, and a dozen, 12:
[tex]228[/tex] ÷ [tex]19=12[/tex]
[tex]228[/tex] ÷ [tex]12=19[/tex]
As you can see, our quotients are the two figures we started with, and when multiplied together, give us 228 individual cookies; therefore, our solution is correct!
Help with all questions in this pic
Answers
PLEASE HELP ME OUT I NEED THIS BY TONIGHT!!!!
A tree is 6 feet high. Each year, x, it grows 2 feet. Write an equation to model the height, y, of the tree after x years. What is the height of the tree after 7 years?
Answers
Answer:
1) y=2x+6
Step-by-step explanation:
2) y=2×7+6=20ft
Answer:
y = 2x + 6 and the height is 20 feet after seven years.
Step-by-step explanation:
Hello we meet again.
You substitute the x with 7 and then it will be 2(7)+6. 2 times 7 is 14 plus 6 equals 20 so good luck.
Vera owns 17 pairs of socks how many socks does have in all
Answers
We know that 2 socks are in a pair. Hence, the rate would be like this: 2 socks/pair. We could also represent it as a ratio and fraction. I will choose the fraction form.
x 17
2 socks = 34 socks
1 pair x 17 17 pairs
Therefore, if Vera owns 17 pairs of socks, she will have 34 socks in total.
i’m being timed !!!
Given the function f(x) = -x^2 + 4x + 6, determine the average rate of change of
the function over the interval -4 < x < 7.
Answers
Step-by-step explanation:
I dont know the answer but I know you should make a graph for it and it will tell u the answer I will try and take a photo
( • )( • )ԅ(‾⌣‾ԅ)( • )( • )ԅ(‾⌣‾ԅ)( • )( • )ԅ(‾⌣‾ԅ)
Answers
A cuboid with a volume of 924cm^3 has dimensions 4cm, (x+1)cm and (x+11)cm.
Show clearly that x^2+12x-220=0
Solve by factorisation, making sure you show the factorisation. Find the dimensions of the cuboid.
Answers
Answer:
Dimensions = 4cm, 11cm and 21cm
OR
Dimensions = 4cm, -21cm and -11cm
Step-by-step explanation:
Solving the quadratic equation by using the factorization method;
x² + 12x - 220 = 0
Factors = 22 and -10
x² + 22x - 10x - 220 = 0
x(x + 22) - 10(x + 220) = 0
(x - 10)(x + 22) = 0
Therefore, x = 10 or x = -22
Given the following data;
Length of one side = (x + 1)cm
When x = 10
Length of one side = (10 + 1)cm
Length of one side = 11cm.
When x = -22
Length of one side = (-22 + 1)cm
Length of one side = -21cm
Length of the other side = (x + 11)cm
When x = 10
Length of the other side = (10 + 11)cm
Length of the other side = 21cm
When x = -22
Length of the other side = (-22 + 11)cm
Length of the other side = -11cm
Check;
Volume of a cuboid = L*L*L
Volume of a cuboid = 4 * 11 * 21
Volume of a cuboid = 924cm³
find tan a in a triangle
a 20/21
b 21/29
c 21/20
d 20/29
Answers
Answer:
Option C
Step-by-step explanation:
By applying tan rule in the given triangle ABC,
tan(a) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
= [tex]\frac{BC}{AC}[/tex]
= [tex]\frac{21}{20}[/tex]
Therefore, Option C is the correct option.
Please I really need help
Answers
Answer:
it would be 1/3
Step-by-step explanation:
Answer: 1/3 chance
Step-by-step explanation:
In total there are 21 animals, 7 of which are a goat or a cow, 7/21 simplified is 1/3
51. (08.02 MC) Box A has a volume of 48 cubic meters. Box B is similar to box A. To create Box B, Box A's dimensions were doubled. What is the volume of Box B? (1 point)
Answers
Answer:
384 m³
Step-by-step explanation:
Let the dimension of box a be l,b, and h.
ATQ,
lbh = 48 .....(1)
If we double the dimension of box A, we get box B whose new dimensions will be 2l,2b and 2h.
Let V be the volume of box B.
V = (2l)(2b)(2h)
V = 8(lbh)
= 8(48) [from equation (1)]
= 384 m³
Hence, the volume of the box B is 384 m³.
I WILL GIVE THE REST OF MY POINTS (100 SOMETHING) TO THE PERSON WHO ANSWERS THIS RIGHT BY CREATING A NEW QUESTION AND ALSO WILL GIVE BRANLIEST
Mr. Townsend needs to make 13 pairs of butterfly wings for costumes for a play.
Each pair of wings is made with yard of fabric. The fabric costs $8 per yard.
You'll apply properties of multiplication in the following steps to find the total cost of the fabric.
1. Use multiplication to write an expression for the amount of fabric needed to make 13 pairs of wings.
2. Multiply the amount of fabric by the price per yard to find an expression for the total cost.
3. Use the associative and commutative properties to rearrange the terms in the expression to make it easier to calculate. Explain why the rearranged expression is easier to work with.
4. Simplify your expression to find the total cost. Show your work
Answers
Step-by-step explanation to answer:
So, the unit rate is $8 per yard of fabric now we need a expression which will be 13 times 8. 8 times 10 is 80 and 8 times 3 is 24. 80+24 is 104. We did associative, now we need communative. We will still get the answer to the question as we did with associative which will be 8 times 3 is 24 and 8 times 10 is 80. add that and we will get 104.
x + y = 8
Let x = -1. What is y?
Enter the correct answer
DONE
Il?
Answers
Answer:
y = 9
Step-by-step explanation:
x + y = 8
-1 + y = 8
y - 1 = 8
Add one to both sides to isolate y.
y = 9
Have a great day!
Yin wants to create figure Y′ that is similar to figure Y. Yin begins by reflecting figure Y across the y-axis.
Which of the following should Yin do next to get a figure similar to figure Y?
A. Yin should rotate the figure 90°.
B. Yin should dilate the figure by a scale factor of 2.
C. Yin should reflect the figure across the x-axis.
D. Yin should translate the figure 3 units to the left.
Answers
Answer: B) Dilate by scale factor of 2
====================================================
Explanation:
Your teacher isn't saying this directly, but I'm assuming s/he wants you to find a similar figure that isn't congruent to the original. Informally, your teacher seems to want you to find a figure that is the same shape but not the same size as the original.
If so, then any dilation will shrink or enlarge the image depending on the scale factor. So the new image will not be the same as the old one. In this case, a dilation with scale factor 2 means the new figure is twice as large (each side is twice as long). But the old image is similar to the new image. The angles keep their values and therefore we get the same shape. This is why choice B is the answer. Again this is assuming what I mentioned in the first paragraph.
Choices A, C, and D are all known as rigid transformations and they preserve the same size of the figure. Applying any of those operations will lead to the same figure (just rotated, reflected or shifted somehow). In other words, applying operations A,C, or D will have us get two congruent triangles. If two triangles are congruent, then they are automatically similar, but not vice versa. This is why we can rule out A,C, and D.
Answer:
B
Step-by-step explanation:
Which expression is equivalent to
Answers
Answer:
B
Step-by-step explanation:
find two fraction with the same
denominator that are equivalent to 7/8 and 5/12
Answers
Answer:
21/24 and 10/24
Step-by-step explanation:
7/8 is equaivalent to 7*2/8*2 = 14/16 also to 7*3/8*3=21/24
5/12 is equivalent to 5*2/12*2= 10/24
so the denominators are 16 and 24 so are not the same so keep looking
the denominators 24 and 24 are same so your answer is
7/8 and 5/12 are same and have the same denominator to 21/24 and 10/24
which expression is equivalent to the expression shown below?
-1/2(-3/2x + 6x + 1) - 3x
A) 3/2x - 1/2
B) 6 3/4x - 1/2
C) -3/4x + 1/2
D) -5 1/4x - 1/2
Answers
Answer:
vcbnvjhgbvnhtrgbhj hy6tyuk
Step-by-step explanation:
The correct answer is: [D]: " (-5 )x − " .
_________________________________________________________
Explanation:
_________________________________________________________
" -1/2(-3/2x + 6x + 1) − 3x " ;
= (-1/2 * -3/2 x) + (-1/2 * 6x) + (-1/2 * 1) − 3x ;
= [ (-1 *-3) /(2*2)] x + (-3x) + (-1/2) ] − 3x ;
= [ (3/4)x − 3x − (1/2) ] − 3x ;
= (3/4)x − 3x − (1/2) − 3x ;
= ?? ; → Combine the "like terms" ;
→ "(3/4)x − 3x − 3x " = ?? ;
→ "(3/4)x − 3x = "(-9/4)x";
→ "(-9/4)x − 3x = "(-21/4)x " = " (-5 )x " ;
→ The answer is: " (-5 )x − " ;
___________________________________________________
→ which is:
___________________________________________________
→ Answer choice: [D]: " (-5 )x − " .
___________________________________________________
N EED ANSWER NOW ON TIMER PLASERA
Answers
Answer:
17/190
Step-by-step explanation:
Its correct
Answer:
D
Step-by-step explanation:
1 x 17 = 17
10 x 18=180
so it's 17/180
Help please it’s urgent!
Answers
The answer choices are
16/25
-4/25
-16/5
4/5
Answers
what's greater than -1
Answers
Answer:
hi its 1
Step-by-step explanation:
Answer:
0 and above
Step-by-step explanation:
Hope this helps.
Anna drives 45 km to work each day.
One day she drives the first 25 km at an average speed of 82 km/h. She takes 36 minutes to drive the remaining distance.
Calculate her average speed, in km/h, for the whole journey.
Answers
Answer:
Anna drove at an average speed of 49.73 km/h
Step-by-step explanation:
Average Speed
If an object moves at different speeds to cover a certain total distance dt in a total time tt, the average speed is:
[tex]\displaystyle \bar v=\frac{d_t}{t_t}[/tex]
Anna drives a total distance of dt=45 km each day. One day she drives a distance of d1=25 km at v1=82 Km/h. The time taken for that distance is:
[tex]\displaystyle t_1=\frac{d_1}{v_1}=\frac{25}{82}=0.3049\ h[/tex]
She takes t2=36 minutes to drive the remaining distance. 36 minutes is 36/60=0.6 h, thus the total time is:
[tex]t_t=0.3049\ h+0.6\ h=0.9049\ h[/tex]
The average speed is:
[tex]\displaystyle \bar v=\frac{45}{0.9049}=49.73\ km/h[/tex]
Anna drove at an average speed of 49.73 km/h