The base of a triangle is longer than twice its corresponding height by 1 cm. The area of the triangle is 105 cm?. Find the height of the triangle!butuh cepat
1. The base of a triangle is longer than twice its corresponding height by 1 cm. The area of the triangle is 105 cm?. Find the height of the triangle!butuh cepat
Jawaban:
52,5
Penjelasan dengan langkah-langkah:
105:2 sorry if wrong
Jawab:
The height of the triangle is 10 cm.
Penjelasan dengan langkah-langkah:
If the area, base and height of that triangle are notated by A, b and h, then it is known that:
A = (1/2)bh
b = 2h+1
So:
A = (1/2) × (2h+1) × h
A = (1/2) × (2h²+h)
2A = 2h²+h
2×105 = 2h²+h
210 = 2h²+h
2h²+h-210 = 0
(2h+21)(h−10)=0
2h+21=0 or h−10=0
h = -21/2 or h = 10
The positive solution is h = 10, so the height of the triangle is 10 cm.
Proof:
If the height is 10 cm, then the base equals to 21 cm (2×10 + 1 = 21).
The area of the triangle:
A = (1/2)bh = (1/2)(21)(10) = (1/2)(210) = 105 cm². (correct!)
2. father has frame in shape of triangle. the area of frame is 12 square meters. if the base of the triangular is 6 meters long, what is the height of the triangle. tolong dijawab ya dengan caranya. mau dikumpulin besok
the height is (area times two) divided by the base.
h = (12 × 2) ÷ 6 = 4
so the height of the triangle is 4 meters tall.Area = 1/2 x base x height
12 m ² = 1/2 x 6 m x height
12 m² = 3 m x height
Height = 12 m ÷ 3 m = 4 m
Jadikan jawaban tercerdas ya.
3. If a sector of a circle has an arc lenght of 2Ï€ inches and an area of 6Ï€ square inches, what is the radius of the circle?mohon bantuannya
arc length=keliling=2Ï€
area=luas=6Ï€²
radius=jari jari
keliling lingkaran=2Ï€r
2Ï€=2Ï€r
r=1 inch
Maaf kalau salah
4. Find the area of a triangle with base 24 cm and height 10 cm.
Jawab:
240
Penjelasan dengan langkah-langkah:
5. what is the hypotenuse of a triangle with a base of 7cm and height √240 cm
17 cm
Penjelasan dengan langkah-langkah:
r² = 7² + (√240)²
= 49 + 240
= 289
r = √288
= 17 cm
6. A TV screen has a length : height of 4:3. If it’s length is 38 cm, what is it’s height?
Jawaban:
28, 5 cm
Penjelasan dengan langkah-langkah:
4 : 3
4x = 38
x = 38 : 4
x = 9,5
maka 3x = 3 (9,5)
= 28,5 cm
7. "t"is the..of the triangleA widthB. lengthC heightD. area
Jawaban:
C. Height
semoga membantu
maaf kalo salah
Jawaban:
c. height
Penjelasan:
widht:lebar
lenght:panjang
height:tinggi
area:luas
8. A rectangular container has a square base of side 10 cm and a height of 30 cmIt is filled with 12 e of water. Find the height of the water level.
Jawab: Jawabannya adalah 12 cm
Penjelasan dengan langkah-langkah:
pertama-tama kita ubah volumenya menjadi ml dan cm³.
Volume= 1.2 liter
= 1200 ml
= 1200 cm³
Setelah kita ubah volumenya, lanjutkan dengan cara ini:
1200/10 x 10= 12 cm
dan selesai.
9. The area of a triangle is 528cm2. the length of its base is 33cm. calculate the perpendicular height of the triangle.
Diketahui:
Luas segitiga = 528 cm²
Panjang alas = 33 cm
Tinggi = ?
[tex]luas \: = 528 \\ \frac{1}{2} \times a \times t = 528 \\ \frac{1}{2} \times 33 \times t = 528 \\ t = \frac{528 \times 2}{33} \\ t = 32[/tex]
Jadi, tinggi segitiga adalah 32 cm.
Jawab:
32
Penjelasan dengan langkah-langkah:
L=528
a= 33
L= a*t/2
528= 33*t/2
1056=33t
t= 1056/33
t=32
10. Find the surface area of a prism if the base is a triangle with side 16 cm, 20 cm and 12 cm and it’s height = 30 cm.
Penjelasan dengan langkah-langkah:
saya mohon bantuannya kak untuk subscribe channel saya tinggal klik saja insya allah ada pahalanya ini linknya
https://youtube.com/channel/UC0VrQeHkpDQ4RxLGVSEw0jg
11. A bottle of height 8 cm has a volume of 120 cm . Find the volume of a similar bottle of height 24 cm
Jawab:
128
Penjelasan dengan langkah-langkah:
120 + 8 = 128
12. a pyramid,the base has an isosceles triangle form with sides of 10 cm,10 cm and 12 cm.if the height of the pyramid is 15 cm,then calculate the volume of pyramis
tinggi segitiga sama kaki :
(1/2 sisi alas)² + tinggi ² = sisi miring²
6² + t² = 10²
t² = 100-36
t = √64 = 8 cm.
Maka, volume limas :
V = 1/3 (Luas alas segitiga) X tinggi limas
= 1/3 . 1/2 . alas . tinggi . t limas
= 1/3 . 1/2 . 12 . 8 . 15
= 240 cm³
13. The area of a triangle is 30cm2 if the height is 6 cm what is the length of the base
Jawab:
5
Penjelasan dengan langkah-langkah:
14. ABC is a triangle. Identify the height of triangle ABC when CB is its base. a. AB b. AF c. CD d. CE
Jawaban:
(D)
Note
Semoga membantu maaf kalo salah
15. if a circle has a circumference of 16 inches, the area of a sector with a central angle of 1,5Ï€ radians is
The area of a sector with a central angle of 1,5Ï€ radians is 15,31 in².
The circle is a group of dots on a line of flat fields which are equidistant from a certain center point. These dots are connected to form an endless curved line.
The distance between the center point and the circle curve is called the radius (r). And the radius will be the most important thing if we want to count circumference and area of a circle.
Circumference of the circle is calculated by the formula: 2 × Ï€ × r or Ï€ × d while the area of the circle is calculated by the formula: Ï€ × r².
One part of a circle bounded by two radiuses that form an angle to calculate the area is called SECTION. Because a section is a part of circle area, a section area with an α angel is calculated by the formula : α/360° × Ï€ × r².
To understand it better, check the discussion below.
DISCUSSION :A circle has a circumference of 16 inches. There is a sector with a central angle of 1,5Ï€ radians. First, we have to change 1,5Ï€ radians into degrees.
1,5Ï€ radians = 1,5Ï€ × 180°/Ï€
= 1,5 × 180°
= 270°
Second, we have to find the circle radius from its circumference. Circumference of the circle is calculated by the formula: 2 × Ï€ × r
16 inch = 2 × Ï€ × r
16 inch = 2 × 3,14 × r
16 inch = 6,28 × r
r = 16 inch ÷ 6,28
r = 2,55 inch
And the last, we will calculate the section area with a 270° angel by the formula : α/360° × Ï€ × r²
= 270°/360° × Ï€ × r²
= 270°/360° × 3,14 × (2,55)²
= ¾ × 20,41785
= 15,31 in²
So, the area of a sector with a central angle of 1,5Ï€ radians is 15,31 in².
Learn more :https://brainly.co.id/tugas/9606069 about the circle and its parts
https://brainly.co.id/tugas/2141039 about the formula of a section area
https://brainly.co.id/tugas/5840458 about a similar questions (calculate the section area)
ANSWER DETAILSUBJECTS : MATHEMATICS
GRADE : VIII
SUBJECT MATTER : A CIRCLE
KEYWORDS : AREA, CIRCUMFERENCE, A SECTION AREA, RADIANT TO DEGREE, RADIUS
QUESTION CODE : 2
CATEGORIZATION CODE : 8.2.7
16. If a sector of a circle has an arc lenght of 2Ï€ inches and an area of 6Ï€ square inches, what is the radius of the circle?mohon bantuannya kak
terjemahan: jika juring dari sebuah lingkaran memiliki panjang busur 2Ï€ inci dan luasnya adalah 6Ï€ inci², berapa radius (jari²) dari lingkaran tsb?
jawab:
luas juring (sector's area) = 6Ï€
panjang busur (arc length) = 2Ï€
[tex] \frac{ \alpha }{360°} \times \pi \times 2r = 2\pi \\ \frac{ \alpha }{360°} \times 2\pi r = 2\pi \\ \frac{ \alpha }{360°} \times r = 1 \\ r = \frac{1 \times 360°}{ \alpha } = \frac{360}{ \alpha }[/tex]
[tex] \frac{ \alpha }{360°} \times \pi \times {r}^{2} = 6\pi \\ \frac{ \alpha }{360°} \times {r}^{2} = 6 \\ {r}^{2} = \frac{6 \times 360°}{ \alpha } = \frac{720}{ \alpha } [/tex]
[tex] \frac{ {r}^{2} }{r} = r \\ \frac{ \frac{720}{ \alpha }}{ \frac{360}{ \alpha } } = r \\ \frac{720}{ \alpha } \times \frac{ \alpha }{360°} = r \\ 2 = r \\ r = 2[/tex]
Catatan:
[tex] \frac{ \alpha }{360°} \times \pi \times 2r \: adalah \: rumus \: menentukan \: panjang \: busur \\ \frac{ \alpha }{360°} \times \pi \times {r}^{2} \: adalah \: rumus \: menentukan \: luas \: juring[/tex]
17. An equilateral triangle has a height of 10 cm. Its area is 15 cm2 less than that of a square. The ratio of the area of the triangle to the square is 2 : 5. Find the perimeter of a triangle and a square. tollong jawap cepat sama caranya juga
Jawaban:
square
Penjelasan dengan langkah-langkah:
cuz the arnunain yuwilbi a oferyel suzerlimde naiklaim
sama sama
18. A triangle whose base is 6 cm long and height 10 cm. The area of the triangle is… cm2
Answers and explanations:
Base (Alas) = 6 cm
Height (Tinggi) = 10 cm
Area of the Triangle:L = 1/2 x Base x Height
L = 1/2 x 6 x 10 = 30 cm^2
19. 2. find the area of a triangle with a base of 6 m and a height of 4 m a. 6 m2 b.12 m2 c. 24 m2 d.42 m2
Penjelasan dengan langkah-langkah:
maaf kalo salah ya thanks
20. Sphere a has the radius 6 inches and sphere b has diameter 14 inches. find the ratio of the surface area !
Jawaban:
Artinya adalah:Penjelasan:
Sphere a memiliki jari-jari 6 inci dan sphere b memiliki diameter 14 inci. temukan rasio luas permukaan!#Kucing Oren
0 Komentar