Select the correct answer. Which equation has no solution?

A triangle has an area of 78 square inches. Its base is measured to be 13 inches. What is the height of this triangle in inches?

Fynjy0 [20]

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{12 \: inches}}}}}$

Step-by-step explanation:

Given,

Area of a triangle = 78 square inches

Base of a triangle = 13 inches

Height of a triangle = ?

Finding the height of a triangle

$\boxed{ \sf{area \: of \: a \: triangle = \frac{1}{2} \times \: base \: \times \: height}}$

$\dashrightarrow{ \sf{78 = \frac{1}{2} \times 13 \times h}}$

$\dashrightarrow{ \sf{78 = 6.5 \: h \: }}$

$\dashrightarrow{ \sf{6.5 \: h = 78}}$

$\dashrightarrow{ \sf{ \frac{6.5h}{6.5} = \frac{78}{6.5}}}$

$\dashrightarrow{ \sf{h = 12 \: inches}}$

Hope I helped!

Best regards! :D

4 0

3 years ago

Please answer soon I need this answer very quickly for math. Thank you!

Kazeer [188]

a. First five terms: 9,13,17,21,25

b. Sum of first 25 terms = 1425

c. The given sequence is an arithmetic sequence because the common difference between two consecutive terms is same.

Further explanation:

Given

Formula of sequence

$a_n=4n+5$

1. First 5 terms:

For first 5 terms, we have to put n=1,2,...5,

So,

$For\ n=1\\a_1=4(1)+5\\=4+5\\=9\\For\ n=2\\a_2=4(2)+5\\=8+5\\=13\\For n=3\\a_3=4(3)+5\\=12+5\\=17\\For\ n=4\\a_4= 4(4)+5\\=16+5\\=21\\For\ n=5\\a_5=4(5)+5\\=20+5\\=25\\First\ 5\ terms\ are: 9,13,17,21,25$

2. Sum of first 25 terms:

For that we have to find 25th term first

$a_{25} = 4(25)+5\\=100+5\\=105$

The formula for sum is:

$S_n=\frac{n}{2}(a_1+a_n)}\\Putting\ the\ values\\S_n=\frac{25}{2}(9+105)\\=12.5(114)\\=1425$

3. Type of sequence

The given sequence is an arithmetic sequence because the common difference between two consecutive terms is same.

i.e.

$d=4$

Keywords: Arithmetic sequence, Sum of arithmetic sequence

Learn more about arithmetic sequence at:

#LearnwithBrainly

4 0

4 years ago

The amount of money that Charlie saves each week is directly proportional to the amount he earns. Last week Charlie saved $32 on

VashaNatasha [74]

Answer:

the answer is 64.

problem is telling you that Charlie saves 32$ each week from his 512$ earnings. that means that every week he earns $512 out of which he saves 32$. so last week (32$) add this weeks saving of ($32) dollars and you will get 64$.

Step-by-step explanation:

7 0

3 years ago

Find the indicated area under the curve of the standard normalâ distribution; then convert it to a percentage and fill in the bl

pantera1 [17]

Answer:

68.26%

Step-by-step explanation:

The z score is a measure used in statistic to determine the number of standard deviations by which the raw score is above or below the mean. If the z score is positive then the raw score is above the mean and if it is negative then the raw score id below the mean. The z score is calculated using:

$z=\frac{x-\mu}{\sigma}\\ where\ \mu \ is \ the\ mean, \sigma\ is\ the\ standard\ deviation\ and\ x \ is\ the\ raw\ score$

From the normal distribution table, Area between z equal -1 and z equal 1 = P(-1 < z < 1) = P(z < 1) - P(z < -1) = 0.8413 - 0.1587 = 0.6826 = 68.26%

About 68.26% of the area is between z = -1 and z = 1 (or within 1 standard deviation of the mean).

8 0

3 years ago

Ayuda es para mañana El estudiante 1 y el estudiante 2 están a 53 metros, uno del otro. El estudiante 1, desde su posición, ve u

hram777 [196]

Answer:

La opción correcta es;

Estudiante 2, ya que está aproximadamente a 32,39 metros de distancia

Step-by-step explanation:

Los parámetros dados son;

La distancia entre los dos estudiantes = 53 metros

El ángulo medido entre la línea del Estudiante 1 a la caja fuerte y el Estudiante 1 y el Estudiante 2 = 37 °

El ángulo medido entre la línea del Estudiante 2 a la caja fuerte y el Estudiante 2 y el Estudiante 1 = 43 °

Dado que los dos estudiantes y la caja fuerte forman los vértices de un triángulo, tenemos;

Sea θ el ángulo del triángulo opuesto a la distancia entre los dos estudiantes

Por lo tanto;

θ + 43 ° + 37 ° = 180 ° (teorema de suma de ángulos)

θ = 180 ° - (43 ° + 37 °) = 100 °

Por regla del seno, tenemos;

a / (sin (A) = b / sin (B)

Por lo tanto;

53 / (sin (100 °)) = b / (sin (37 °)) = c / (sin (43 °))

Lo que da;

b = (sin (37 °)) × 53 / (sin (100 °)) = 32,39 metros

c = (sin (43 grados)) × 53 / (sin (100 grados)) = 36,7 metros

Por lo tanto, el Estudiante 2 está más cerca, ya que está aproximadamente a 32,39 metros de distancia.

6 0

3 years ago