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zavuch27 [327]
3 years ago
7

Find the value of x to the nearest tenth.

Mathematics
2 answers:
Lapatulllka [165]3 years ago
4 0

Answer:

8.0

Step-by-step explanation:

Sin theta = opposite /hypotenuse

sin 53 = x/10

Multiply each side by 10

10 sin 53 = x

7.9863551

To the nearest tenth

x = 8.0

agasfer [191]3 years ago
3 0

Answer:  0.8

Step-by-step explanation:

From the given picture, it can be seen that there is a right triangle,

Such that the side opposite to right angle (hypotenuse) =10 units

By using trigonometry , we get

\sin(53^{\circ})=\dfrac{\text{side opposite to } \sin(353{\circ})}{\text{Hypotenuse}}\\\\\Rightarrow\ 0.79863551004=\dfrac{x}{10}\\\\\Rightarrow\ x=10\cdot0.79863551004\\\\\Rightarrow\ x07.9863551004\approx8.0\ units

Hence, the value of x to the nearest tenth = 0.8 units

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When Brad was born, his Grandma put, $1,500 in a new account for him. Since then, the balance of the account, has grown by 6.5%
marin [14]

Answer:

$969.04

Step-by-step explanation:

now at age of 18 Brad has 1500 * 1,065^18

at age of 21 he will have 1500 * 1,065^21

if he waits the difference will be 1500 * 1,065^21 - 1500 * 1,065^18 = $969.04

6 0
3 years ago
The box plots show the weights, in pounds, of the dogs in two different animal shelters. Weights of Dogs in Shelter A 2 box plot
Romashka [77]

Answer:

<u>Shelter A</u>

Step-by-step explanation:

For Shelter A: the whiskers range from 8 to 30

so, the minimum weight of Shelter A is 8 pounds.

For For Shelter B: the whiskers range from 10 to 28

so, the minimum weight of Shelter B is 10 pounds.

<u> Which animal shelter has the dog that weighs the least? </u>

<u>The answer is: Shelter A</u>

Note: whiskers are plotted are from the minimum to Q1 and from Q2 to the max.

See the attached figure.

4 0
4 years ago
Read 2 more answers
Look at the image and answer the question
BabaBlast [244]

Answer:

e. 1 / 16

f . 1 / 9

Step-by-step explanation:

e.

( 1 / 2 )^4

= 1 / 2^4

= 1 / 16

f.

( 1 / 3 )^2

= 1 / 3^2

= 1 / 9

4 0
3 years ago
A quadrilateral PQRS is translated to the left by 4 units to obtain another quadrilateral P᾿Q᾿R᾿S᾿
IrinaVladis [17]

Answer:

the length of PQ is equal to the length of P'Q'

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, translation and dilation.

Translation is the movement of a point either up, down, right or left. Translation is a type of rigid transformation. Rigid transformation is a transformation in which both the image and pre-image have the same shape and size. types of rigid transformation are rotation, reflection and translation.

Quadrilateral PQRS is translated to the left by 4 units to obtain another quadrilateral P᾿Q᾿R᾿S᾿. Since translation is a rigid transformation, the shape and size of PQRS is the same as that of P'Q'R'S. Hence the length of PQ is equal to the length of P'Q'.

8 0
3 years ago
Given: KLMN is a trapezoid, m∠N=m∠KML, FD=8, LM KN = 3 5 F∈ KL , D∈ MN , ME ⊥ KN KF=FL, MD=DN, ME=3 5 Find: KM
denis23 [38]

Answer:

The length of side KM is \sqrt{109} units.

Step-by-step explanation:

Given information:  KLMN is a trapezoid, ∠N= ∠KML, FD=8, LM:KN=3:5, F∈ KL, D∈ MN , ME ⊥ KN KF=FL, MD=DN, ME=3\sqrt{5}.

From the given information it is noticed that the point F and D are midpoints of KL and MN respectively. The height of the trapezoid is 3\sqrt{5}.

Midsegment is a line segment which connects the midpoints of not parallel sides. The length of midsegment of average of parallel lines.

Since LM:KN=3:5, therefore LM is 3x and KN is 5x.

\frac{3x+5x}{2}=8

\frac{8x}{2}=8

x=2

Therefore the length of LM is 6 and length of KN is 10.

Draw perpendicular on KN form L and M.

KN=KA+AE+EN

10=6+2(EN)                (KA=EN, isosceles trapezoid)

EN=2

KE=KN-EN=10-2=8

Therefore the length of KE is 8.

Use pythagoras theorem is triangle EKM.

Hypotenuse^2=base^2+perpendicular^2

(KM)^2=(KE)^2+(ME)^2

(KM)^2=(8)^2+(3\sqrt{5})^2

KM^2=64+9(5)

KM=\sqrt{109}

Therefore the length of side KM is \sqrt{109} units.

8 0
4 years ago
Read 2 more answers
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